Volume

Defining Volume

100

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

True

200

Volume is measured in

A. Lines

B. Squared units

C. Cubic units

C. Cubic Units

300

The formula for volume of a rectangular prism is:

volume = length x width x height 

400

Centimeters x centimeters x centimeters

cubic centimeters, centimeters cubed, or cm³

500

True or False: Another formula for volume is: 

Area of the base x height

True

Area

100

What is the area of this rectangle?

Width: 6ft

Length: 5ft

30ft²

200

What is the area of this rectangle?

width: 7in

length: 3in

21in²

300

What is the area of this rectangle?

width: 10cm

length: 15cm

150cm²

400

What is the area of this rectangle?

width: 29cm

height: 16cm

464cm²

500

What is the area of this rectangle?

width: 283in

height: 16in

4,528in²

Calculating Volume

100

What is the formula for finding the volume of a rectangular prism?

Volume = length x width x height

or 

Volume = Area of base x height

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

A box has a height of 4cm, a width of 3cm, and a length of 6cm. What is the volume?

6 x 4 x 3 = 72cm²

400

A box is 9 inches by 11 inches by 8 inches. What is the volume of the box?

792 cubic inches

500

Find the volume:

Base = 76

height = 4

304 cubic units

Solve

100

Find the volume:

length: 3cm

width: 2cm

height: 9cm

54cm³

200

Find the volume:

base: 17ft²

height: 3ft

51ft³

300

What is the volume of this rectangular prism?

length: 9mm

width: 2 mm

height 13mm

234mm³

400

A cube has a height of 14 meters. What is the volume?

2,744m³

500

Find the volume:

length: 63ft

width: 9ft

height: 42ft

23,814ft³

Word Problems

100

The juice box has a width of 5cm, a length of 3cm, and a height of 7cm. What is the volume of the juice box?

105cm²

200

James wants to wrap a gift where the base of the box is 16cm and the height of the box 4cm. What is the volume of the box?

64cm²

300

What is the volume of a cube if the height is 10 units?

1,000 cubic units

400

Tamera knows the width of her box is 78in and the length is 90in. What is the area of her base?

7,020in²

500

Miss Roy needs to figure out the volume of her gingerbread house. The volume of the roof is 82cm³. She also knows the rectangular prism part of the house has a length 6cm, the width is 8cm, and the height is 10cm. What is the total volume of the gingerbread house?

562cm³

82 + (10 x 6 x 8)