Intro to Volume Vocab Quiz

Which of the following is a unit of volume?

• meter (m)

• liter (L)

Answer explanation

A liter (L) is a unit of volume.

What is the formula to calculate the volume of a rectangular prism?

• V = l + w + h

• V = l x w x h

Answer explanation

The formula to calculate the volume of a rectangular prism is V = l x w x h. This formula multiplies the length, width, and height of the prism to find its volume.

What is the formula to calculate the volume of a cylinder?

• pi * radius^2 * height

• pi * diameter^2 * height

Answer explanation

The formula to calculate the volume of a cylinder is pi * radius^2 * height. This formula considers the base area of the cylinder, which is pi * radius^2, and multiplies it by the height to obtain the volume.

What is the formula to calculate the volume of a cone?

• (1/3) * π * r^2 * h

• (1/4) * π * r^2 * h

Answer explanation

The formula to calculate the volume of a cone is (1/3) * π * r^2 * h. This formula is derived from the fact that the volume of a cone is one-third the volume of a cylinder with the same base and height.

What is the formula to calculate the volume of a sphere?

• (4/3) * π * r^3

• (4/3) * π * r^2

Answer explanation

The formula to calculate the volume of a sphere is (4/3) * π * r^3. This formula considers the radius of the sphere and uses the constant π. The correct choice is (4/3) * π * r^3.

Which of the following is not a unit of volume?

• meter

• centimeter

Answer explanation

The correct answer is 'meter'. It is a unit of length, not volume.

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

• 60

• 20

Answer explanation

The volume of a rectangular prism is calculated by multiplying its length, width, and height. In this case, the volume is 5 cm * 3 cm * 4 cm = 60 cm³. Therefore, the correct answer is 60.

A cylinder has a radius of 2 cm and height of 8 cm. What is its volume?

• 32π cm^3

• 64π cm^3

Answer explanation

The volume of a cylinder is calculated by multiplying the area of the base (πr^2) by the height. In this case, the radius is 2 cm and the height is 8 cm. Therefore, the volume is 32π cm^3, which matches the correct answer choice.

A cone has a radius of 3 cm and height of 6 cm. What is its volume?

• 18.84956 cm^3

• 56.54867 cm^3

Answer explanation

The volume of a cone is given by the formula V = (1/3) * π * r^2 * h. Plugging in the values, we get V = (1/3) * π * 3^2 * 6 = 56.54867 cm^3. Therefore, the correct answer is 56.54867 cm^3.

A sphere has a radius of 4 cm. What is its volume?

• 32 cm^3

• 268.08 cm^3

Answer explanation

The volume of a sphere with a radius of 4 cm can be calculated using the formula V = (4/3)πr^3. Plugging in the value of the radius, we get V = (4/3)π(4^3) = 268.08 cm^3. Therefore, the correct answer is 268.08 cm^3.