Question

What is the area of the base of a rectangular prism that has a 9mm width an 8mm height and a 14mm length?

Answer 1

Answer:

The area of the base is 126 mm².

Step-by-step explanation:

Given:

A rectangular prism that has a 9mm width and 8mm height and a 14mm length.

Now, to find the area of the base of the rectangular prism.

The dimensions of rectangular prism are:

Length = 14 mm.

Width = 9 mm.

Height = 8 mm.

Now, to get the volume of rectangular prism by putting formula:

$Volume=length\times width\times height\\\\Volume=14\times 9\times 8\\\\Volume=1008\ mm^3.$

Thus, the volume of rectangular prism is 1008 mm³.

Now, to get the area of the base we put formula:

$Volume=base\ area\times height \\\\1008=base\ area\times 8$

Dividing both sides by 8 we get:

$126=base\ area\\\\Base\ area = 126\ mm^2.$

Therefore, the area of the base is 126 mm².