Question

Find the volume of a right rectangular prism that has a base area of 3 square yards and a height of 8 1/3 yards

Answer 1

A right rectangular prism is a solid object with 6 faces, 12 edges and 8 vertices.

Its called a right rectangular prism because the angles between the base and the sides are all right angles.

The volume of a right rectangular prism is given by the formula;

$Volume=lwh$

We have been given the base area and this is 3 square yards. Note that the base area is derived as follows;

$\begin{gathered} \text{Area}=lw \\ \text{Where the variables are;} \\ l=\text{length} \\ w=\text{width} \end{gathered}$

This means, the length times the width has already been solved.

We now have the volume re-written as;

$\begin{gathered} \text{Volume}=\text{lwh} \\ \text{Volume}=(lw)h \\ \text{Volume}=3\times h \end{gathered}$

Where the value of the height is;

$h=8\frac{1}{3}yds$

We now have;

$\begin{gathered} \text{Volume}=3\times8\frac{1}{3} \\ \text{Volume}=3\times\frac{25}{3} \\ \text{Volume}=25\text{yds}^3 \end{gathered}$

ANSWER:

The volume of the right rectangular prism is 25 cubic yards.