Question

The edge length of cube A is two times the edge length of cube B. How many times greater isthe volume of the cube A than the volume of cube B?

Answer 1

8 times greater

Explanation:

The formula of a volume of a cube:

`V=a^3`

a - edge length

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The edge length of cube B is a.

The edge length of cube A is 2a.

Calculate the volumes:

`V_A=(2a)^3=2^3a^3=8a^3\\\\V_B=a^3`

How many times greater is the volume of the cube A than the volume of cube B?

Make the quotient:

`(V_A)/(V_B)=(8a^3)/(a^3)=8`