Question

The area of a cross section perpendicular to the base of a rectangular prism is 45 square inches. If the length and width of the base are 5 inches each, what is the height of the prism? The height of the prism is BLANK inches.

Answer 1

The height of the prism is $2.25 \ in$

Explanation:

It is given that the area of the cross section of the rectangular prism is 45 square inches.

Length of the rectangular prism is $5 \ in$

Width of the rectangular prism is $5 \ in$

To determine the height of the prism, let us substitute these values in the formula $SA=(2l+2w)h$ , we get,

$45=(2(5)+2(5))h$

Multiplying the terms within the bracket, we get,

$45=(10+10)h$

Adding the terms within the bracket, we have,

$45=20h$

Dividing both sides by 20, we get,

$2.25=h$

Thus, the height of the rectangular prism is $2.25 \ in$