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.

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

sine

step-by-step explanation:

x = 2

step-by-step explanation:

if sr parallel to ba then the sides bc and ac are in proportion, that is

= ← substitute values

= ( cross- multiply )

27x = 6(4x + 1)

27x = 24x + 6 ( subtract 24x from both sides )

3x = 6 ( divide both sides by 3 )

x = 2