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Published byAinsley Mance Modified over 3 years ago

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

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

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***Always measured in units cubed (u3)**

VOLUME VOLUME is the amount of liquid or solid that will FILL a 3-Dimensional object! *Always measured in units cubed (u3)

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**QUICK DEFINITION 3-Dimensional objects are NOT FLAT.**

They have 3 measurements: Length Width Height

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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.

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**VOLUME OF A RECTANGULAR PRISM**

So, what if we wanted to find the volume of this classroom?

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**Luckily, we have a formula for that!**

Volume = length × width × height

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**FIND THE VOLUME OF THIS RECTANGULAR PRISM:**

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

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**FIND THE VOLUME OF THIS RECTANGULAR PRISM:**

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**FIND THE VOLUME OF THIS RECTANGULAR PRISM:**

5 cm 5 cm 5 cm

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

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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?

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

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**FIND THE VOLUME OF THIS RECTANGULAR PRISM:**

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**FIND THE VOLUME OF THIS RECTANGULAR PRISM:**

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**Trailers that travel on the road behind trucks are rectangular prisms**

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?

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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?

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One last question: 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?

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

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VOLUME Used to find the amount of liquid something can hold Ex. the area of a swimming pool is the inside of the pool while the volume is the amount.

VOLUME Used to find the amount of liquid something can hold Ex. the area of a swimming pool is the inside of the pool while the volume is the amount.

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