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How many cubes can you fit perfectly into your box?

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Presentation on theme: "How many cubes can you fit perfectly into your box?"— Presentation transcript:

1 How many cubes can you fit perfectly into your box?

2 VOLUME The number of cubes that you just counted is called the VOLUME of your box. So, what do you think VOLUME means?

3 VOLUME VOLUME is the amount of liquid or solid that will FILL a 3-Dimensional object! *Always measured in units cubed (u 3 )

4 QUICK DEFINITION 3-Dimensional objects are NOT FLAT. They have 3 measurements: – Length – Width – Height

5 RECTANGULAR PRISM Today we found the volume of a 3-D object called a RECTANGULAR PRISM, which is a solid figure that has six faces that are all rectangles. Opposite faces are congruent and parallel.

6 VOLUME OF A RECTANGULAR PRISM So, what if we wanted to find the volume of this classroom?

7 FORMULA Luckily, we have a formula for that! Volume = length × width × height

8 FIND THE VOLUME OF THIS RECTANGULAR PRISM: 3 mm 2 mm 12 mm NOTES!

9 FIND THE VOLUME OF THIS RECTANGULAR PRISM: 10 in 3 in 4 in

10 FIND THE VOLUME OF THIS RECTANGULAR PRISM: 5 cm

11 A cereal box has a length of 8 inches, a width of 1.75 inches, and a height of 12.125 inches? How much cereal will the box hold? NOTES!

12 Alexia’s bathroom has a tub in the shape of a rectangular prism with a length of 1.5 meters, a width of 0.5 meter, and a height of 0.4 meter. How many cubic feet of water can it hold?

13 YOUR TURN! Third person in each row please get whiteboards, markers, and rags for each person in your row. Thank you!

14 FIND THE VOLUME OF THIS RECTANGULAR PRISM: 40 in 9 in 11 in

15 FIND THE VOLUME OF THIS RECTANGULAR PRISM: 8 m

16 Trailers that travel on the road behind trucks are rectangular prisms. A typical height for the inside of these trailers is 108 inches. If the trailer is 8 ft wide and 20 ft long, what is the volume of the trailer?

17 An aquarium shaped like a rectangular prism has a length of 120 centimeters, a width of 60 centimeters, and a height of 100 centimeters. How much water is needed to fill the aquarium?

18 A rectangular prism has a length of 2 inches, a height of 5 inches, and a width of 3 inches. What is the volume of this rectangular prism?

19 What would happen to the volume if we multiplied the height by a scale factor of 3?


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