Volume and Capacity By Teacher Angelo

Volume – is the amount of space occupied by an object. aquarium box Volume – is the amount of space occupied by an object.

bottle cups jug pitcher

mugs Capacity - is the amount of objects or substances that a container can hold to its maximum.

Dimensions of cube Length = Width = Height *A cube has 6 equal and square faces.

Dimensions of cuboid *A cuboid has six rectangular faces.

Example 1: Find the dimensions of the cuboid. Answer: Length = 16 cm Width = 9 cm Height = 4 cm

Example 2: Find the dimensions of the cuboid. Answer: Length = _________ Width = _________ Height = _________ 3 cm 3 cm 4 cm

Special Seatwork (5 points) Find the dimensions of the cuboid. Answer: Length = _________ Width = _________ Height = _________ 9 in 5 in 3 in

Volume of Cube = lwh = s3 = (s)(s)(s) Volume = lwh = (1 u)(1 u)(1 u) Volume = (length)(width)(height) = lwh = s3 = (s)(s)(s) Volume = lwh = (1 u)(1 u)(1 u) = 1 u3 = 1 cubic unit

Example 1 Find the volume of the cube. Working: V = s3 = (5 cm)3 = (5 cm)(5 cm)(5 cm) V = 125 cm3

Example 2 2cm Working Volume = lwh V = (2cm)(2cm)(2cm) V = 8 cm³ Calculate the volume of the dice.

Special Seatwork (5 points) Find the volume of the cube.

Volume of a cuboid 18 cubes fit the base. = 1 cubic centimeter = 1 cm³ 4 layers of 18 cubes = 4 x 18 = 72 centimetre cubes = 72 cm³

Volume of Cuboid Volume = (length)(width)(height) = lwh

V = lwh = (4 cm)(3cm)(2 cm) V = 24 cm³ Example 1 Find the volume of the cube. V = lwh = (4 cm)(3cm)(2 cm) V = 24 cm³

Find the volume of the building. Example 2 Find the volume of the building. Building Roi-Et Plaza Working 27cm Volume = lwh V = (18cm)(5cm)(27cm) V = 2,430 cm³ 5 cm 18 cm

Special Seatwork (5 points) Find the volume of the cuboid. Roulette P 5/11 Roulette P 5/12

Special Seatwork (5 points) Find the volume of the cuboid. Roulette P 5/11 Roulette P 5/12

Special Seatwork (5 points) Find the volume of the cuboid. Roulette P 5/11 Roulette P 5/12

Special Seatwork (5 points) Find the volume of the cuboid. Roulette P 5/11 Roulette P 5/12

Special Seatwork (5 points) Find the volume of the cuboid. Roulette P 5/11 Roulette P 5/12

Workbook Exercise A Number 1 and 2 Page 101 to 102

Workbook Exercise B Letter A, B, C and D Page 103 to 106

Converting metric units of volume and capacity Metric units of volume/capacity 1 liter = 1,000 cubic centimeters(cm3) 1,000 cubic milliliters(mL) 1 milliliter 1 cubic centimeters(cm3 or cc) 1 cubic meter 1,000 liters(L) 1,000,000 cubic centimeters(cm3)

Converting larger units to smaller units Example 1 Convert 3 L to cubic centimeters. Working: 1 L = 1,000 cm3 3 L = (3 L) 1,000 cm3 1 L = (3)(1,000 cm3) = 3,000 cm3

Example 2 Convert 9 m3 to cubic centimeters. Working: 1 m3 = 1,000,000 cm3 9 m3 = (9 m3) 1,000,000 cm3 1 m3 = (9)(1,000,000 cm3) = 9,000,000 cm3

Example 2 Convert 2 L to milliliters. Working: 1 L = 1,000 mL 2 L = (2 L) 1,000 mL 1 L = (9)(1,000,000 cm3) = 9,000,000 cm3

Converting smaller units to larger units Example 1 Convert 5,000 m3 to liters. Working: 1 m3 = 1,000 L 5,000 m3 = (5,000 m3) 1,000 L 1 m3 = (5,000)(1,000 L) = 5,000,000 L

Convert 2,000,000 cm3 to cubic meters. Example 2 Convert 2,000,000 cm3 to cubic meters. Working: 1,000,000 cm3 = 1 m3 2,000,000 cm3 = (2,000,000 cm3) 1 m3 1,000,000 cm3 = (2)(1 m3) = 2 m3

Example 3 Convert 10,000 mL to liters. Working: = (10)(1 L) = 10 L 1,000 mL = 1 L 10,000 mL = (10,000 mL ) 1 L 1,000 mL = (10)(1 L) = 10 L

Special Seatwork ( 5 points) 1.) Convert 45 m3 to liters.

Special Seatwork ( 5 points) 2.) How many cubic meters are there in 29,000 L?

Special Seatwork ( 5 points) 3.) An aquarium contains 25,000 cm3 of water. What is the volume of the water in milliliters?

Workbook Exercise C Number 1and 2 Page 107 to 108

Workbook Challenging Exercise Number 1to 4 Page 109 to 111

REVIEW Find the dimensions of the cuboid. Answer: Length = _________ Roulette P 5/11 Answer: Length = _________ Width = _________ Height = _________ Roulette P 5/12

REVIEW Find the dimensions of the cuboid. Answer: Length = _________ Roulette P 5/11 Answer: Length = _________ Width = _________ Height = _________ Roulette P 5/12

REVIEW Find the volume of the cuboid. Roulette P 5/11 Roulette P 5/12

REVIEW What is the volume of a cube if one of its side is 12 cm? Roulette P 5/11 Roulette P 5/12

REVIEW The length of a cuboid is 14 m, the width is 11 m, and the height is 12 m. What is its volume? Roulette P 5/11 Roulette P 5/12

REVIEW Convert 9 m3 to cubic centimeters. Roulette P 5/11

REVIEW How many cubic centimeters are there in 12 cubic meter? Roulette P 5/11 Roulette P 5/12

REVIEW How many liters are there in 78 m3? Roulette P 5/11

REVIEW Draw an object that has volume and capacity. Roulette P 5/11

REVIEW A cuboid has a volume of 400 cm3, its width is 5 cm and its height is 10 cm. What is the measure of its length? Roulette P 5/11 Roulette P 5/12