Exercises: Volume Formulas and Composite Figures
Work through each section in order. Use V = l × w × h or V = B × h (where B is the area of the base) as needed, and always label your answer with cubic units.
Warm-Up: Review What You Know
These problems review skills you have already learned.
What is the area of a rectangle that is 5 units long and 3 units wide? Enter just the number of square units.
A flat figure is made of two non-overlapping rectangles with areas 12 square units and 8 square units. What is the total area?
What is 4 × 3 × 2?
Fluency Practice
A right rectangular prism has length 6 in, width 4 in, and height 3 in. Use V = l × w × h to find its volume.
This figure is packed with unit cubes, no gaps or overlaps, 3 cubes long, 2 cubes wide, and 4 cubes tall. Use V = l × w × h to find the volume, and check that it matches the cubes shown.
A prism has a base area of 15 square inches and a height of 7 inches. Use V = B × h to find its volume.
A right rectangular prism has length 8 cm, width 5 cm, and height 2 cm. Find its volume.
A prism has a base area of 24 square feet and a height of 5 feet. Use V = B × h to find its volume.
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