Question

A right rectangular prism has a base with an area of 25 1/2 square feet and a volume of 153 cubic feet. What is the height, in feet, of the right rectangular prism?

Answer 1

so use. the formola to find the area of rectangular prism

Answer 2

Given : A right rectangular prism has a base with an area of 25 1/2 square feet and a volume of 153 cubic feet.

To find : The height of the prism in feet.

Solution :

We can simply solve this mathematical problem by using the following mathematical process. (our goal is to calculate the height of the given prism.

Volume of the prism :

= 25½ sq. ft

$= \frac{25 \times 2 + 1}{2} \: \: sq.ft$

$= \frac{51}{2} sq.ft$

Now, we know that :

Volume of a prism = Base area × Height

By, putting the available data in the above mentioned mathematical formula, we get :

$153 = \frac{51}{2} \times height$

$\frac{51}{2} \times height = 53$

$height = 153 \times \frac{2}{53}$

$height = 6 \: ft$

(This will be considered as the final result.)

Hence, the height of the prism is 6 ft.