Question

Box A has a volume of 512 cubic meters. Box B is similar to box A. To create Box B, Box A's dimensions were divided by 2. What is the volume of Box B?

Answer 1

Answer : The volume of box B is $64m^3$

Step-by-step explanation :

Given :

Volume of box A = 512 cubic meter

Let us assumed that the box A and box B are cubes and the dimensions of cube are same i.e, 'a'.

Volume of box A = V = $a\times a\times a=a^3$

As per question,

When dimensions of box A divided by 2 then the volume of box B will be:

Volume of box A = V' = $\frac{a}{2}\times \frac{a}{2}\times \frac{a}{2}=\frac{a^3}{8}$

As the box B is similar to box A. So, the volume of box B will be:

Volume of box B = V' = $\frac{a^3}{8}$

$V'=\frac{a^3}{8}=\frac{V}{8}$

$V'=\frac{512m^3}{8}=64m^3$

Therefore, the volume of box B is $64m^3$