Question

If the volume for 3-D polyhedra A is 200 cm3 and the volume for 3-D polyhedral B is 800 cm3, how many times bigger is the volume of pyramid B than pyramid A?

Answer 1

The volume of pyramid B is 3 times bigger than the volume of pyramid A

Explanation:

Proportions

The proportion or ratio between two quantities a and b is the result of the division a/b.

The ratio is greater than 1 if a>b, less than 1 if a<b and exactly 1 if a=b.

We are told the volume for 3-D polyhedra A is 200
`cm^3` and the volume for 3-D polyhedral B is 800
`cm^3`. Computing the ratio:

`\displaystyle r=(800)/(200)=4`

This means the volume of pyramid B is four times the volume of pyramid A, but that is not the answer to the question. We must say how many times B is bigger than A.

The relation obtained by the computed ratio is B being 4 times A, it means it's 4A - A = 3A

The correct answer is: The volume of pyramid B is 3 times bigger than the volume of pyramid A