Question

a rectangular prism has a volume of 10 cubic units

Answer 1

Answer:

270 cubic inches

Explanation

The formula for calculating the volume of a rectangular prism is given as;

$V=length\times width\times height$

If a rectangular prism has a volume of 10 cubic units, then;

$10=lwh$

If the dimension are each made 3 times long, then the new volume will be:

$\begin{gathered} V_c=3l(3w)(3h) \\ V_c=27lwh......................\text{ 2} \end{gathered}$

Substitue equation 1 into 2 to have:

$\begin{gathered} V_c=27(10) \\ V_c=270in^3 \end{gathered}$

Therefore the new volume of the prism will be 270 cubic inches