Expressions 8-6

Expressions 8-6

How do we find the volume of a rectangular prism?

We can find the volume by multiplying:

• the length

• the width

• the heigth

Multiple Choice

What is the volume?

• 12 units

• 36 units

• 12 units³

• 36 units³

Multiple Choice

How do you find the area of a rectangle?

• length x height

• length x width

• width x width

• width x height

 How is finding volume different from finding area? 

Open Ended

Write a formula for finding the volume of any rectangular prism. V =

Open Ended

This ice cube is shaped like a cube. Its edge lengths are 2 cm. What is the volume of this ice cube? Write a formula for finding the volume of any cube.

Raul is building a planter in the shape of a rectangular prism. It has a length of 4 feet and a height of 2 feet. How wide should it be to hold 24 cubic feet of soil?

• What dimensions do we have?

• Do we know the volume?

• What dimension is missing?

How can we find the width?

• We know that L x W x H = V

• We know that the L = 4 and the H = 2 and the V is 24

• So, 4 x ? x 2 = 24 or 8 x ? = 24

• What operation can we use to find the ? (width )?

Multiple Choice

Raul is building a planter in the shape of a rectangular prism. It has a length of 4 feet and a height of 2 feet. How wide should it be to hold 24 cubic feet of soil?

• 3 feet³

• 8 feet

• 3 feet

• 8 feet³

Open Ended

Write a numerical expression for the volume.

Multiple Choice

What is the volume?

• 12 ft

• 24 ft³

• 8 ft³

• 24 ft

Open Ended

Write a numerical expression for the volume.

Multiple Choice

What is the volume?

• 60 in

• 30 in

• 10 in³

• 60 in³

Multiple Choice

Find the unknown dimension or volume of each rectangular prism.

• 10 in³

• 12 in³

• 10 in

• 60 in

Multiple Choice

Find the unknown dimension or volume of each rectangular prism.

• 10 m

• 60 m

• 6 m

• 60 m³

Multiple Choice

Find the unknown dimension or volume of each rectangular prism.

• 294 cm

• 294 cm³

• 185 cm³

• 284 cm³

A box shaped like a rectangular prism is 2 m long, 2 m wide, and has a height of 3 m. What is the volume of the box?

What dimensions do we have?

What dimension is missing?

Multiple Choice

A box shaped like a rectangular prism is 2 m long, 2 m wide, and has a height of 3 m. What is the volume of the box?

• 12 m³

• 6 m

• 12 m

• 4 m³

Fred’s dog crate is 42 inches long, 24 inches wide, and has a height of 30 inches. What is the volume of the crate? 

• What dimensions do we know?

• What is the question asking us to find? The unknown.

Multiple Choice

Fred’s dog crate is 42 inches long, 24 inches wide, and has a height of 30 inches. What is the volume of the crate?

• 1008 in³

• 1,3008 in³

• 30, 240 in³

• 300,240in³

The cargo hold of a truck has a height of 3 yards and is 5 yards wide. The volume of the cargo hold is listed as 240 cubic yards. What is the length of the cargo hold?

• What dimensions do we know?

• What dimension do we need to find?

• What operation are we going to use to find the length? 3 x 5 x ? = 240

• 15 x ? = 240

•   $240\ \div15\ =$  

Multiple Choice

The cargo hold of a truck has a height of 3 yards and is 5 yards wide. The volume of the cargo hold is listed as 240 cubic yards. What is the length of the cargo hold?

• 13 yards³

• 265 yards³

• 16 yards³

• 16 yards