Volume & Measurement Unit 4

Enter the number of minutes equal to 7 2/4

There are ____minutes in 7 2/4 hours.

Which statement is TRUE about a unit cube?

• Its volume is equal to 1 unit plus 1 unit.

• Its volume is equal to 1 unit plus 1 unit plus 1 unit.

• Its volume is equal to 1 unit times 1 unit.

• Its volume is equal to 1 unit times 1 unit times 1 unit.

Darien has created a right rectangular prism out of unit cubes with the following dimensions:

5 unit cubes long

2 unit cubes wide

8 unit cubes high

What will happen to the volume of the right rectangular prism Darien created if he halves the height?

• The new volume will be one-fourth the original volume.

• The new volume will be half the original volume.

• The new volume will be equal to the original volume.

• The new volume will be 4 times the original volume.

Brian is filling a container with unit cubes. Each cube measures exactly 1 cubic inch. He places the first 9 cubes on the bottom of the container as shown below.

How many unit cubes in total must Justin use to fill the container?

• 9 unit cubes

• 36 unit cubes

• 18 unit cubes

• 27 unit cubes

Tony is calculating the volume of this rectangular prism.

Tony calculates the volume as 11 cubic units because 4 units long + 4 units high + 3 units wide = 11 cubic units.

Which of the following describes the mistake Tony made in his calculation?

• Tony is wrong because he calculated the volume 4+4+3=114+4+3=11 instead of 4×3+4=164×3+4=16.

• Tony is wrong because he added all the dimensions instead of only adding the length and width.

• Tony is wrong because he calculated the volume 4+4+3=114+4+3=11 instead of 4×4−3=134×4-3=13.

• Tony is wrong because he added all of the dimensions instead of multiplying all of the dimensions.

Find the volume of the figure above. Use the formula V = l × w × h.

Figure dimensions are 2.3 m long, 2.5 m width, and height 3.6 m.

• 5.75 m3

• 8.4 m3

• 20.70 m3

• 46.06 m3

Find the volume of the figure above. Use the formula V = l × w × h.

Rectangular prism dimensions are 4 feet long, 8 feet wide, and height 3 feet.

• 136 ft3

• 96 ft3

• 32 ft3

• 15 ft3

Will and his friend are building a wooden frame for a garden bed. They want it to measure 10 feet long, 5 feet wide, and 1 foot high. What will the volume of this garden bed be?

Answer explanation

50 cubic feet

The shed in Mrs. James yard is 16 yd. long, 4 yd wide, and 5 yd high. What is the space inside the shed?

Answer explanation

320 cubic yards

A bag is 14 inches tall, 10 inches wide, and 4 inches deep. Is it large enough to hold Natalie's school books, which have a combined volume of 500 cubic inches? If so, how much space will she have left? If not, how much space does she need?

Answer explanation

Yes! She will have 60 cubic inches of space left.