Practice: Volume

Grade 5 Mathematics | Independent Practice

Name:
Date:

Part A: Counting Unit Cubes

Directions: Find the volume by counting the unit cubes. Remember to count ALL cubes, including hidden ones!

1.

3 x 2 x 2

Volume = cubic units

2.

4 x 2 x 3

Volume = cubic units

Part B: Using the Formula V = l x w x h

Directions: Use the volume formula to find the volume. Show your work!

3. l = 7 cm, w = 4 cm, h = 3 cm

V = _____ x _____ x _____

V =

4. l = 8 in, w = 5 in, h = 6 in

V = _____ x _____ x _____

V =

5. l = 10 ft, w = 10 ft, h = 2 ft

V = _____ x _____ x _____

V =

6. l = 12 m, w = 3 m, h = 5 m

V = _____ x _____ x _____

V =

Part C: Finding Missing Dimensions

Directions: Use the volume formula to find the missing dimension.

7. A box has a volume of 60 cubic inches. The length is 5 inches and the width is 4 inches. What is the height?

V = l x w x h     60 = 5 x 4 x h     60 = 20 x h

Height = inches

8. A rectangular prism has a volume of 96 cubic feet. The width is 4 feet and the height is 6 feet. What is the length?

V = l x w x h     96 = l x 4 x 6     96 = l x _____

Length = feet

9. A storage container has a volume of 144 cubic centimeters. The length is 8 cm and the height is 3 cm. What is the width?

Width = cm     Show work: _______________________

Part D: Composite Figures

Directions: Find the total volume by adding the volumes of each rectangular prism.

10. An L-shaped figure is made of two prisms:

10x3x2 4x3x3

Prism A (green): 4 cm x 3 cm x 3 cm    Prism B (yellow): 10 cm x 3 cm x 2 cm

Volume A = _______   Volume B = _______   Total Volume = _______ cubic cm

11. A step-shaped figure is made of two prisms stacked:

Bottom prism: 8 ft x 6 ft x 2 ft    Top prism: 5 ft x 4 ft x 3 ft

Volume of bottom = _______   Volume of top = _______   Total = _______ cubic ft

12. A building-shaped figure has:

Base: 12 m x 8 m x 4 m    Tower on top: 4 m x 4 m x 6 m

Base volume = _______   Tower volume = _______   Total = _______ cubic m

Challenge: Real-World Volume

13. A fish tank is 24 inches long, 12 inches wide, and 16 inches tall. What is the volume of the tank in cubic inches?

Volume = _______________ cubic inches

14. Marcus wants to fill a planter box with soil. The box is 3 feet long, 2 feet wide, and 1 foot deep. If each bag of soil fills 2 cubic feet, how many bags does Marcus need?

Volume of planter = _______ cubic ft    Bags needed = _______ bags