Question

Cube $A$ has volume $V$ the edges of cube $B$ are three times as long as the edges of cube $A$. What is the volume of cube $B$ in terms of $V$?

Answer 1

Calculating the volume of cube $B$.

Step 1: Given information.

Let the edge of the cube $A$ be $a$

Then, its volume will be

$V=a^3....\left(1\right)$

Now, we can say that edge of the cube $B$ will be $3a$.

Step 2: Expressing the volume of cube $B$ in terms of $V$.

Then, its volume is

$\begin{array}{rcl}{V}_1& =& {\left(3a\right)}^3\\ & =& 27a^3\\ & =& 27V\end{array}$

Hence, the volume of cube $B$in the terms of $V$ is $27V$.