5th Grade - Geometry

Defining Volume

100

True or False: Volume is the amount of space that an object takes up.

True.

200

Volume is measured in 

A. Lines 

B. Guesses

C. Cubic units

C

300

The formula for volume of a rectangular prism is:

volume = length x width x height

OR

volume = base x height

400

Donte took an Amazon box and measured the length and width. He says he can figure out the volume of the box by multiplying the length and width. Is Donte correct or incorrect? Why or why not?

Donte is incorrect. When you multiply the length and width you find the AREA, not the volume. Donte needs to go back and measure the height of the box. 

500

True or False: Another formula for volume is Area of the base x height.

True

Volume of Rectangular Prisms

100

What is the volume of this prism?

V = L x W x H

V = 6 x 4 x 3 

V = 24 x 3

V = 72 cubic units

OR 

V = B x H

V = 24 x 3

V = 72 cubic units

200

I made a tower in the shape of a rectangular prism out of blocks. The length was 8 in, width was 2 in, and height was 4 in. What was the volume of the figure?

8x2x4 = 64 cubic inches

300

What is the volume of this figure?

4 x 6 x 3 = 72 units³

400

A lunchbox is 6 inches by 5 inches by 3 inches. What is the volume of the box?

90 cubic inches

or 

90 inches³

500

What is the volume of this prism?

12 x 6 = 72 units³

Volume of Non-Overlapping Rectangular Prisms

100

Determine the combined volume of the non-overlapping rectangular prism. 

You must break apart into TWO parts. This is one way to break them apart. Your total combined volume must be 22 cubic units to be correct.

Volume of Part A

V = L x W x H

V = 3 x 1 x 2

V = 6 cubic units (Total part A)

Volume of Part B

V = L x W x L

V = 8 x 1 x 2

V = 16 cubic units (Total Part B)

You must add part A and part B together.

6 cubic units + 16 cubic units = 22 cubic units

The combined total volume is 22 cubic units. 

200

Find the combined total volume for the non-overlapping rectangular prism. 

You must break apart into TWO parts. This is one way to break them apart. Your total combined volume must be 44 cubic units. 

Volume of Part A

V = L x W x H

V = 4 x 2 x 2

V = 16 cubic units (total part A)

Volume of Part B

V = L x W x H

V = 7 x 2 x 2

V = 28 cubic units (total part B)

You must add part A and part B together to find the combined volume.

16 cubic units + 28 cubic units = 44 cubic units 

The total combined volume is 44 cubic units. 

300

Determine the combined volume of the non-overlapping rectangular prism.

You must break apart into TWO parts. This is one way to break them apart. Your total combined volume must be ____ cubic units to be correct.

Volume of Part A

V = L x W x H

V = 13 x 6 x 7

V = 546 cubic units (Total part A)

Volume of Part B

V = L x W x L

V = 13 x 4 x 11

V = 572 cubic units (Total Part B)

You must add part A and part B together.

546 cubic units + 572 cubic units = 1,118 cubic units

The combined total volume is 1,118 cubic units. 

400

What is the combined volume of this non-overlapping rectangular prism?

Sample ways to solve. Final Answer MUST match your answer. (hint: You must break apart the boxes.)

Volume for box A

V= L x W x H

V = 12 yards x 5 yards x 4 yards

V = 240 yards³ (Part A)

Volume for box B

V= L x W x H

V = 4 yards x 5 yards x 12 yards

V = 240 yards³ (Part B)

To find the TOTAL volume you must add the volume of Box A and Box B. 

240 yards³ + 240 yards³ = 480 yards³

500

What is the volume of this figure?

Volume Part A 

V= 4 x 6 x 2 

V = 48

Volume Part B 

V= 4 x 3 x 2 

V = 24

48 + 24 = 72 cm³