Question 1

Which statement correctly describes the formula for the volume of a pyramid?

Accepted Answer

a. The volume of a pyramid is equal to one-third the area of its base times its height.

Answer

c. The volume of a pyramid is equal to one-half the area of its base times its height.

Answer

b. The volume of a pyramid is equal to the area of its base times its height.

Answer

d. The volume of a pyramid is equal to the perimeter of its base times its height.

Question 2

A pyramid has a base area of 24‍ square units and a height of 9‍ units. What is its volume?

Accepted Answer

If the base of a pyramid has an area of 24 square units and the height is 9 units, the volume is 1/3x24x 9 = 72 cubic units.

Answer

If the base area is 24‍ and the height is 9‍ , the volume is 24×9=216‍ cubic units.

Answer

If the base area is 24‍ and the height is 9‍ , the volume is 1/4×24×9=54‍ cubic units.

Answer

If the base area is 24‍ and the height is 9‍ , the volume is 1/2×24×9=108‍ cubic units.

Question 3

Why is the constant k‍ in the pyramid volume formula equal to 1/3‍ ?

Accepted Answer

The constant k‍ in the pyramid volume formula is 1/3‍ because six pyramids can fill a rectangular prism, and their combined volume equals the prism's volume.

Answer

The constant k is 1 because one pyramid fills a prism.

Answer

The constant k‍ is 1/2‍ because two pyramids fill a prism.

Answer

The constant k is 1/4 because four pyramids fill a prism.

Question 4

If a pyramid has a rectangular base with length x and width y, what is the area of its base?

Accepted Answer

The area of the base of a pyramid with length x and width y is x ( y).

Answer

The area of the base is x + y.

Answer

The area of the base is x ( y)(z).

Answer

The area of the base is x/y.

Question 5

How can the formula for the volume of a pyramid be written using the base area and height?

Accepted Answer

The formula for the volume of a pyramid can be written as 1/3 (base area) (height).

Answer

The formula for the volume of a pyramid can be written as (base area) (height).

Answer

The formula for the volume of a pyramid can be written as 1/2 (base area)(height).

Answer

The formula for the volume of a pyramid can be written as (base area)/(height).

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