Volume Basics
A cube has sides of 3 units. What is the volume?
A. 9 cubic units
B. 12 cubic units
C. 27 cubic units
D. 30 cubic units
Answer: C. 27 cubic units
Which set of dimensions can form a rectangular prism with a volume of 60 ft³?
A. 3 ft, 4 ft, 5 ft
B. 6 ft, 5 ft, 1 ft
C. 10 ft, 3 ft, 2 ft
D. All of the above
Answer: D. All of the above
A storage shed is 10 ft wide, 12 ft long, and 8 ft tall. What is its volume?
A. 96 ft³
B. 960 ft³
C. 1,280 ft³
D. 800 ft³
Answer: B. 960 ft³
What is the formula to find the volume of a rectangular prism?
A. V=L × W × H
B. V=L × W
C. V=B × H
D. Both A and C
Answer: D. Both A and C
A prism has a volume of 48 ft³. If the base area is 12 ft², what is its height?
A. 2 ft
B. 4 ft
C. 6 ft
D. 8 ft
Answer: B. 4 ft
A rectangular prism has dimensions of 2 ft by 3 ft by 4 ft. What is the volume?
A. 12 cubic feet
B. 18 cubic feet
C. 24 cubic feet
D. 36 cubic feet
Answer: C. 24 cubic feet
A box has a base area of 20 square feet and a height of 6 feet. What is the volume?
A. 100 ft³
B. 120 ft³
C. 140 ft³
D. 160 ft³
Answer: B. 120 ft³
A sandbox has a base area of 30 ft² and a height of 2 ft. What is the volume?
A. 50 ft³
B. 60 ft³
C. 75 ft³
D. 90 ft³
Answer: B. 60 ft³
Which expression cannot be used to find the volume of a box?
A. 4×6×2
B. 12+6
C. 5×3×2
D. 10×4×3
Answer: B. 12+6
A cube has a volume of 125 cubic feet. What is the length of one side?
A. 4 ft
B. 5 ft
C. 6 ft
D. 8 ft
Answer: B. 5 ft
A prism’s base area is 15 square units, and its height is 5 units. What is the volume?
A. 50 cubic units
B. 65 cubic units
C. 75 cubic units
D. 90 cubic units
Answer: C. 75 cubic units
If a rectangular prism has a volume of 72 ft³ and its height is 8 ft, what is the base area?
A. 9 ft²
B. 64 ft²
C. 80 ft²
D. 8 ft²
Answer: A. 9 ft²
A cereal box has a volume of 300 cubic inches. A smaller box has dimensions of 6 in, 5 in, and 4 in. What is the total volume of both boxes?
A. 500 in³
B. 420 in³
C. 600 in³
D. 520 in³
Answer: B. 420 in³
A prism has a base area of 10 square units and a height of 8 units. Which equation gives the volume?
A. V=10+8
B. V=10×8
C. V=10÷8
D. None of the above
Answer: B. V=10×8
A cube has a side length of 4 units. What is its volume?
A. 16 cubic units
B. 32 cubic units
C. 64 cubic units
D. 128 cubic units
Answer: C. 64 cubic units
A cube has a volume of 125 cubic units. What is the length of one side?
A. 5 units
B. 10 units
C. 25 units
D. 15 units
Answer: A. 5 units
A wall has a base area of 15 ft² and is 7 ft tall. What is its volume?
A. 75 ft³
B. 105 ft³
C. 135 ft³
D. 210 ft³
Answer: B. 105 ft³
A room has a base area of 120 ft² and a height of 9 ft. What is the volume?
A. 1,080 ft³
B. 960 ft³
C. 1,000 ft³
D. 1,200 ft³
Answer: A. 1,080 ft³
Which expression represents the volume of a cube with side length 7?
A. 7×3
B. 7×7×7
C. 7+7+7
D. 72
Answer: B. 7×7×7
A room has dimensions 10 ft wide, 12 ft long, and 9 ft tall. During a flood, a 2-foot-deep layer of water fills the bottom of the room. What is the volume of the water?
A. 120 ft³
B. 180 ft³
C. 200 ft³
D. 240 ft³
Answer: D. 240 ft³
Which of these could be the volume of a cube with a side length of 4 units?
A) 16 cubic units
B) 64 cubic units
C) 32 cubic units
D) 12 cubic units
Answer: B) 64 cubic units
A rectangular prism has dimensions of 12 ft by 5 ft by 4 ft. What is its volume?
A. 220 ft³
B. 240 ft³
C. 250 ft³
D. 260 ft³
Answer: B. 240 ft³
A box has dimensions of 6 ft by 6 ft by 6 ft. Sand is added to fill half the box. What is the volume of the sand?
A. 108 ft³
B. 126 ft³
C. 144 ft³
D. 216 ft³
Answer: D. 216 ft³
A rectangular prism has a height of 5 units, a width of 8 units, and a length of 9 units. What is the correct formula to calculate its volume?
A. V=5×8×9
B. V=5+8+9
C. V=5÷(8×9)
D. V=5×8+9
Answer: A. V= 5 × 8 × 9
A fish tank is 6 feet long, 4 feet wide, and 3 feet tall. To create a special environment for the fish, a 2-foot layer of gravel is added to the bottom of the tank. What is the volume of the gravel?
A) 48 cubic feet
B) 36 cubic feet
C) 24 cubic feet
D) 12 cubic feet
Answer: A) 48 cubic feet