Question

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.

Answer 1

Answer:

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