High School

A rectangular prism has a volume of 1,176 cubic inches. The prism has a width of 12 inches and a height of 7 inches.

What is the length of the prism?

Write your answer as a whole number or decimal. Do not round.

Answer :

Final answer:

The length of the rectangular prism is calculated by dividing the volume of 1,176 cubic inches by the product of its width and height, which are 12 inches and 7 inches, respectively. The length is found to be 14 inches.

Explanation:

The length of the rectangular prism can be found by using the formula for the volume of a rectangular prism, which is length x width x height. In this case, the volume is 1,176 cubic inches, the width is 12 inches, and the height is 7 inches. To find the length, divide the volume by the product of the width and the height.

Volume = length x width x height

1,176 cubic inches = length x 12 inches x 7 inches

Therefore, length = 1,176 cubic inches / (12 inches x 7 inches)

Length = 14 inches.

I think it is 14?

If Volume = Length x Width x Height,
Then Length = Volume / (Width x Height)
7 x 12 = 84
1176 / 84 = 14

i hope this helps (^^)