Chapter 12, Problem 19PT

To determine

To find the volume of the given prism.

Answer to Problem 19PT

  $2x^3+6x^2$ cubic units

Explanation of Solution

Given:

A rectangular prism

Height, $(h)=2x$ millimeters

Length of the base of the prism, $(l)=x$ units

Breadth of the base of the prism, $(b)=x+3$ units

Formula used:

Volume of the prism $=Bh$

where $B$ is the base area and $h$ is the height of the prism.

Calculation:

To find the volume of the prism, use the following formula.

Volume $=Bh=l\times b\times h$

Now putting the values,

  $\Rightarrow x(x+3)\times 2x$

  $\Rightarrow 2x^3+6x^2$ cubic units

Conclusion:

Hence, the volume of the given prism is $2x^3+6x^2$ cubic units.