Choose level of difficulty Volume of Prisms - Pool The swimming pool has two identical sides in the shape of a trapezium. All other sides are rectangular. The length of the pool is 12 m. The width of the pool is 4 m. The depth of the pool is 2.1 m at the deep end and 1.1 m at the shallow end. Rafa fills the pool up with water from a hosepipe. The surface of the water is to be 10 cm from the top of the pool. Rafa turns on the hosepipe at 09 00 on Monday and water fills at a rate of 200 ml per second. When the pool is full, Rafa turns off the tap. At what time will this be? Choose level of difficulty

Volume of Prisms - Pool The swimming pool has two identical sides in the shape of a trapezium. All other sides are rectangular. The length of the pool is 12 m. The width of the pool is 4 m. The depth of the pool is 2.1 m at the deep end and 1.1 m at the shallow end. Rafa fills the pool up with water from a hosepipe. The surface of the water is to be 10 cm from the top of the pool. Rafa turns on the hosepipe at 09 00 on Monday and water fills at a rate of 200 ml per second. When the pool is full, Rafa turns off the tap. At what time will this be? Help Step 1: Copy the trapezium shape of the pool and write on the measurements.

Volume of Prisms - Pool The swimming pool has two identical sides in the shape of a trapezium. All other sides are rectangular. The length of the pool is 12 m. The width of the pool is 4 m. The depth of the pool is 2.1 m at the deep end and 1.1 m at the shallow end. Rafa fills the pool up with water from a hosepipe. The surface of the water is to be 10 cm from the top of the pool. Rafa turns on the hosepipe at 09 00 on Monday and water fills at a rate of 200 ml per second. When the pool is full, Rafa turns off the tap. At what time will this be? Help Step 2: The pool is not filled to the top so you need to take the top bit away from the trapezium. Write down the measurements for the filled section

Volume of Prisms - Pool The swimming pool has two identical sides in the shape of a trapezium. All other sides are rectangular. The length of the pool is 12 m. The width of the pool is 4 m. The depth of the pool is 2.1 m at the deep end and 1.1 m at the shallow end. Rafa fills the pool up with water from a hosepipe. The surface of the water is to be 10 cm from the top of the pool. Rafa turns on the hosepipe at 09 00 on Monday and water fills at a rate of 200 ml per second. When the pool is full, Rafa turns off the tap. At what time will this be? Help Step 3: Work out the area of the trapezium. One method is to split the shape into two parts

Volume of Prisms - Pool The swimming pool has two identical sides in the shape of a trapezium. All other sides are rectangular. The length of the pool is 12 m. The width of the pool is 4 m. The depth of the pool is 2.1 m at the deep end and 1.1 m at the shallow end. Rafa fills the pool up with water from a hosepipe. The surface of the water is to be 10 cm from the top of the pool. Rafa turns on the hosepipe at 09 00 on Monday and water fills at a rate of 200 ml per second. When the pool is full, Rafa turns off the tap. At what time will this be? Help Step 4: Find the volume of the pool. Note it is a prism with a trapezium cross section. 4m

Volume of Prisms - Pool The swimming pool has two identical sides in the shape of a trapezium. All other sides are rectangular. The length of the pool is 12 m. The width of the pool is 4 m. The depth of the pool is 2.1 m at the deep end and 1.1 m at the shallow end. Rafa fills the pool up with water from a hosepipe. The surface of the water is to be 10 cm from the top of the pool. Rafa turns on the hosepipe at 09 00 on Monday and water fills at a rate of 200 ml per second. When the pool is full, Rafa turns off the tap. At what time will this be? Help Step 5: Calculate how long it takes to fill up a pool with this volume of water.

Volume of Prisms - Pool The swimming pool has two identical sides in the shape of a trapezium. All other sides are rectangular. The length of the pool is 12 m. The width of the pool is 4 m. The depth of the pool is 2.1 m at the deep end and 1.1 m at the shallow end. Rafa fills the pool up with water from a hosepipe. The surface of the water is to be 10 cm from the top of the pool. Rafa turns on the hosepipe at 09 00 on Monday and water fills at a rate of 200 ml per second. When the pool is full, Rafa turns off the tap. At what time will this be? Help Step 6: Calculate the time by which the pool will be full. End of Problem Return to Menu

Volume of Prisms - Pool The swimming pool has two identical sides in the shape of a trapezium. All other sides are rectangular. The length of the pool is 12 m. The width of the pool is 4 m. The depth of the pool is 2.1 m at the deep end and 1.1 m at the shallow end. Rafa fills the pool up with water from a hosepipe. The surface of the water is to be 10 cm from the top of the pool. Rafa turns on the hosepipe at 09 00 on Monday and water fills at a rate of 200 ml per second. When the pool is full, Rafa turns off the tap. At what time will this be? Help Step 1: Copy the trapezium shape of the pool and write on the measurements.

Volume of Prisms - Pool The swimming pool has two identical sides in the shape of a trapezium. All other sides are rectangular. The length of the pool is 12 m. The width of the pool is 4 m. The depth of the pool is 2.1 m at the deep end and 1.1 m at the shallow end. Rafa fills the pool up with water from a hosepipe. The surface of the water is to be 10 cm from the top of the pool. Rafa turns on the hosepipe at 09 00 on Monday and water fills at a rate of 200 ml per second. When the pool is full, Rafa turns off the tap. At what time will this be? Help Step 2: The pool is not filled to the top so you need to take the top bit away from the trapezium. Write down the measurements for the filled section

Volume of Prisms - Pool The swimming pool has two identical sides in the shape of a trapezium. All other sides are rectangular. The length of the pool is 12 m. The width of the pool is 4 m. The depth of the pool is 2.1 m at the deep end and 1.1 m at the shallow end. Rafa fills the pool up with water from a hosepipe. The surface of the water is to be 10 cm from the top of the pool. Rafa turns on the hosepipe at 09 00 on Monday and water fills at a rate of 200 ml per second. When the pool is full, Rafa turns off the tap. At what time will this be? Help Step 3: Work out the area of the trapezium. One method is to split the shape into two parts

Volume of Prisms - Pool The swimming pool has two identical sides in the shape of a trapezium. All other sides are rectangular. The length of the pool is 12 m. The width of the pool is 4 m. The depth of the pool is 2.1 m at the deep end and 1.1 m at the shallow end. Rafa fills the pool up with water from a hosepipe. The surface of the water is to be 10 cm from the top of the pool. Rafa turns on the hosepipe at 09 00 on Monday and water fills at a rate of 200 ml per second. When the pool is full, Rafa turns off the tap. At what time will this be? Help Step 4: Find the volume of the pool. Note it is a prism with a trapezium cross section. 4m

Volume of Prisms - Pool The swimming pool has two identical sides in the shape of a trapezium. All other sides are rectangular. The length of the pool is 12 m. The width of the pool is 4 m. The depth of the pool is 2.1 m at the deep end and 1.1 m at the shallow end. Rafa fills the pool up with water from a hosepipe. The surface of the water is to be 10 cm from the top of the pool. Rafa turns on the hosepipe at 09 00 on Monday and water fills at a rate of 200 ml per second. When the pool is full, Rafa turns off the tap. At what time will this be? Help Step 5: Calculate how long it takes to fill up a pool with this volume of water.

Volume of Prisms - Pool The swimming pool has two identical sides in the shape of a trapezium. All other sides are rectangular. The length of the pool is 12 m. The width of the pool is 4 m. The depth of the pool is 2.1 m at the deep end and 1.1 m at the shallow end. Rafa fills the pool up with water from a hosepipe. The surface of the water is to be 10 cm from the top of the pool. Rafa turns on the hosepipe at 09 00 on Monday and water fills at a rate of 200 ml per second. When the pool is full, Rafa turns off the tap. At what time will this be? Help Step 6: Calculate the time by which the pool will be full. End of Problem Return to Menu

Volume of Prisms - Pool The swimming pool has two identical sides in the shape of a trapezium. All other sides are rectangular. The length of the pool is 12 m. The width of the pool is 4 m. The depth of the pool is 2.1 m at the deep end and 1.1 m at the shallow end. Rafa fills the pool up with water from a hosepipe. The surface of the water is to be 10 cm from the top of the pool. Rafa turns on the hosepipe at 09 00 on Monday and water fills at a rate of 200 ml per second. When the pool is full, Rafa turns off the tap. At what time will this be? Hint Step 1: Draw a sketch

Volume of Prisms - Pool The swimming pool has two identical sides in the shape of a trapezium. All other sides are rectangular. The length of the pool is 12 m. The width of the pool is 4 m. The depth of the pool is 2.1 m at the deep end and 1.1 m at the shallow end. Rafa fills the pool up with water from a hosepipe. The surface of the water is to be 10 cm from the top of the pool. Rafa turns on the hosepipe at 09 00 on Monday and water fills at a rate of 200 ml per second. When the pool is full, Rafa turns off the tap. At what time will this be? Hint Step 2: The pool is not filled to the top.

Volume of Prisms - Pool The swimming pool has two identical sides in the shape of a trapezium. All other sides are rectangular. The length of the pool is 12 m. The width of the pool is 4 m. The depth of the pool is 2.1 m at the deep end and 1.1 m at the shallow end. Rafa fills the pool up with water from a hosepipe. The surface of the water is to be 10 cm from the top of the pool. Rafa turns on the hosepipe at 09 00 on Monday and water fills at a rate of 200 ml per second. When the pool is full, Rafa turns off the tap. At what time will this be? Hint Step 3: Work out the area of the trapezium.

Volume of Prisms - Pool The swimming pool has two identical sides in the shape of a trapezium. All other sides are rectangular. The length of the pool is 12 m. The width of the pool is 4 m. The depth of the pool is 2.1 m at the deep end and 1.1 m at the shallow end. Rafa fills the pool up with water from a hosepipe. The surface of the water is to be 10 cm from the top of the pool. Rafa turns on the hosepipe at 09 00 on Monday and water fills at a rate of 200 ml per second. When the pool is full, Rafa turns off the tap. At what time will this be? Help Step 4: Find the volume of the pool.

Volume of Prisms - Pool The swimming pool has two identical sides in the shape of a trapezium. All other sides are rectangular. The length of the pool is 12 m. The width of the pool is 4 m. The depth of the pool is 2.1 m at the deep end and 1.1 m at the shallow end. Rafa fills the pool up with water from a hosepipe. The surface of the water is to be 10 cm from the top of the pool. Rafa turns on the hosepipe at 09 00 on Monday and water fills at a rate of 200 ml per second. When the pool is full, Rafa turns off the tap. At what time will this be?

Volume of Prisms - Pool The swimming pool has two identical sides in the shape of a trapezium. All other sides are rectangular. The length of the pool is 12 m. The width of the pool is 4 m. The depth of the pool is 2.1 m at the deep end and 1.1 m at the shallow end. Rafa fills the pool up with water from a hosepipe. The surface of the water is to be 10 cm from the top of the pool. Rafa turns on the hosepipe at 09 00 on Monday and water fills at a rate of 200 ml per second. When the pool is full, Rafa turns off the tap. At what time will this be? End of Problem Return to Menu

Volume of Prisms - Pool The swimming pool has two identical sides in the shape of a trapezium. All other sides are rectangular. The length of the pool is 12 m. The width of the pool is 4 m. The depth of the pool is 2.1 m at the deep end and 1.1 m at the shallow end. Rafa fills the pool up with water from a hosepipe. The surface of the water is to be 10 cm from the top of the pool. Rafa turns on the hosepipe at 09 00 on Monday and water fills at a rate of 200 ml per second. When the pool is full, Rafa turns off the tap. At what time will this be? Hint Step 1: Sketch the trapezium as high as the water level

Volume of Prisms - Pool The swimming pool has two identical sides in the shape of a trapezium. All other sides are rectangular. The length of the pool is 12 m. The width of the pool is 4 m. The depth of the pool is 2.1 m at the deep end and 1.1 m at the shallow end. Rafa fills the pool up with water from a hosepipe. The surface of the water is to be 10 cm from the top of the pool. Rafa turns on the hosepipe at 09 00 on Monday and water fills at a rate of 200 ml per second. When the pool is full, Rafa turns off the tap. At what time will this be? Hint Step 2: Find the volume of the pool. Note it is a prism with a trapezium cross section.

Volume of Prisms - Pool The swimming pool has two identical sides in the shape of a trapezium. All other sides are rectangular. The length of the pool is 12 m. The width of the pool is 4 m. The depth of the pool is 2.1 m at the deep end and 1.1 m at the shallow end. Rafa fills the pool up with water from a hosepipe. The surface of the water is to be 10 cm from the top of the pool. Rafa turns on the hosepipe at 09 00 on Monday and water fills at a rate of 200 ml per second. When the pool is full, Rafa turns off the tap. At what time will this be? Hint Step 3: Calculate how long it takes to fill up a pool and the time it is completed. End of Problem Return to Menu

Volume of Prisms - Pool The swimming pool has two identical sides in the shape of a trapezium. All other sides are rectangular. The length of the pool is 12 m. The width of the pool is 4 m. The depth of the pool is 2.1 m at the deep end and 1.1 m at the shallow end. Rafa fills the pool up with water from a hosepipe. The surface of the water is to be 10 cm from the top of the pool. Rafa turns on the hosepipe at 09 00 on Monday and water fills at a rate of 200 ml per second. When the pool is full, Rafa turns off the tap. At what time will this be? Hint Step 1: Find the volume of the water pool.

Volume of Prisms - Pool The swimming pool has two identical sides in the shape of a trapezium. All other sides are rectangular. The length of the pool is 12 m. The width of the pool is 4 m. The depth of the pool is 2.1 m at the deep end and 1.1 m at the shallow end. Rafa fills the pool up with water from a hosepipe. The surface of the water is to be 10 cm from the top of the pool. Rafa turns on the hosepipe at 09 00 on Monday and water fills at a rate of 200 ml per second. When the pool is full, Rafa turns off the tap. At what time will this be? Hint Step 2: Calculate how long it takes to fill up a pool and the time it will be filled. End of Problem Return to Menu