Volume

Front

What is volume?

Back

Volume is the amount of space an object occupies, measured in cubic units.

Front

How do you calculate the volume of a rectangular prism?

Back

Volume = length × width × height.

Front

What is the volume of a cube with a side length of 4 inches?

Back

64 cubic inches (4 in × 4 in × 4 in).

Front

If a cylinder has a radius of 3 inches and a height of 5 inches, what is its volume?

Back

Volume = π × radius² × height = π × 3² × 5 = 45π cubic inches.

Front

What units are used to measure volume?

Back

Common units include cubic inches, cubic feet, liters, and gallons.

Front

What is the volume of a prism with a base area of 10 square feet and a height of 4 feet?

Back

40 cubic feet (Volume = base area × height).

Front

How do you find the volume of an irregular shape?

Back

Use water displacement method: submerge the object in water and measure the volume of water displaced.

Front

What is the volume of a sphere with a radius of 3 inches?

Back

Volume = (4/3)πr³ = (4/3)π(3)³ = 36π cubic inches.

Front

If a box has a volume of 120 cubic inches and a height of 5 inches, what is the base area?

Back

Base area = Volume ÷ height = 120 in³ ÷ 5 in = 24 square inches.

Front

What is the formula for the volume of a cone?

Back

Volume = (1/3)πr²h, where r is the radius and h is the height.