Which statement best describes how the volume of a square-based pyramid is related to the volume of a cube?

A

The volume of a square-based pyramid is 3 times the volume of a cube because a cube can be divided into three congruent square-based pyramids.

B

The volume of a square-based pyramid is

1

2

12

the volume of a cube because each face of the cube can be divided into two congruent triangles.

C

The volume of a square-based pyramid is

1

3

13

the volume of a cube because a cube can be divided into three congruent square-based pyramids.

D

The volume of a square-based pyramid is 2 times the volume of a cube because each face of the cube can be divided into two congruent triangles.

Question

Mathematics

Katie

Today, 01:34

Which statement best describes how the volume of a square-based pyramid is related to the volume of a cube?

A

The volume of a square-based pyramid is 3 times the volume of a cube because a cube can be divided into three congruent square-based pyramids.

B

The volume of a square-based pyramid is

1

2

12

the volume of a cube because each face of the cube can be divided into two congruent triangles.

C

The volume of a square-based pyramid is

1

3

13

the volume of a cube because a cube can be divided into three congruent square-based pyramids.

D

The volume of a square-based pyramid is 2 times the volume of a cube because each face of the cube can be divided into two congruent triangles.

+3

Answers (1)

Know the Answer?

Alia Horton · Answer 1

The options are not clearly written but, the volume of square based pyramid is 1/6 the volume of a cube because each of the six faces of the cube will contain one square based pyramid.

Step-by-step explanation:

Let the length of each side of your cube be x

the height of each of the six enclosed pyramids would be x/2. So the volume of each pyramid would be given by:

V = (1/3) * base area * height

V = (1/3) * x^2 * (x/2) = (x^3) / 6