Question

a rectangular prism has a volume of 711.68 cubic inches the prism is 4 inches long and 12.8 inches wide what is the height of the prism

Answer 1

Answer with Step-by-step explanation:

The volume of a rectangular prism is given by:

V=lbh

where l is the length,b is the width and h is the height

Here, we are given that:

V=711.68 cubic inches

l=4 inches

and b=12.8 inches

We have to solve for h

Putting values of V,l and b in V=lbh

711.68=4×12.8×h

711.68=51.2h

⇒ h=711.68/51.2

⇒ h=13.9

Hence, Height of prism is:

13.9 inches

Answer 2

$\bf \textit{volume of a rectangular prism}\\\\ V=lwh\qquad \begin{cases} l=length\\ w=width\\ h=height\\ ------\\ V=711.68\\ l=4\\ w=12.8 \end{cases}\implies 711.68=(4)(12.8)h$

solve for "h".