Mastering Volume & Variables: 7th Grade Challenges

A rectangular prism has a length of 5 cm, a width of 3 cm, and a height of 4 cm. What is its volume?

• 75 cm³

• 45 cm³

• 20 cm³

• 60 cm³

If the volume of a rectangular prism is 120 cm³ and its length is 10 cm, what is the height if the width is 3 cm?

• 8 cm

• 4 cm

• 5 cm

• 6 cm

A box is 2 feet long, 3 feet wide, and 5 feet high. How many cubic feet of space does it occupy?

• 40 cubic feet

• 35 cubic feet

• 30 cubic feet

• 25 cubic feet

The volume of a rectangular prism is given by the equation V = l × w × h. If the width is 6 cm and the height is 2 cm, what is the length if the volume is 72 cm³?

• 8 cm

• 6 cm

• 10 cm

• 4 cm

A swimming pool is 25 meters long, 10 meters wide, and 2 meters deep. How many cubic meters of water can it hold?

• 250 cubic meters

• 600 cubic meters

• 500 cubic meters

• 400 cubic meters

If a rectangular prism has a volume of 150 cm³ and a height of 5 cm, what is the area of the base?

• 40 cm²

• 25 cm²

• 15 cm²

• 30 cm²

A storage box has a volume of 240 liters. If its length is 8 liters and its height is 5 liters, what is the width?

• 7 liters

• 5 liters

• 10 liters

• 6 liters

A rectangular garden measures 12 meters in length and 4 meters in width. What is the volume of soil needed if the garden is 0.5 meters deep?

• 24 cubic meters

• 20 cubic meters

• 12 cubic meters

• 30 cubic meters

If the volume of a box is represented by the equation V = 3x × 4 × 5, what is the volume when x = 2?

• 120

• 80

• 100

• 60

A rectangular prism has a volume of 200 cm³. If the width is 5 cm and the height is 8 cm, what is the length?

• 5 cm

• 6 cm

• 4 cm

• 10 cm