Question

A rectangular prism has a volume of 840 cubic inches. The height of the prism is 6 inches and the width is 10 inches. Find the length of the prism and explain how you found it.

Answer 1

To find the length of the rectangular prism, we can use the formula for the volume of a rectangular prism, which is length x width x height.

Given:
Volume = 840 cubic inches
Height = 6 inches
Width = 10 inches

Let's denote the length as L.

Using the formula for volume, we have:
L x 10 x 6 = 840
60L = 840
L = 840 / 60
L = 14

Therefore, the length of the prism is 14 inches.

Answer 2

way smaller

Answer 3

Whoops, my mistake. Let's try again.

Using the formula for the volume of a rectangular prism:

Volume = length x width x height

Given:
Volume = 840 cubic inches
Height = 6 inches
Width = 10 inches

Let's denote the length as L.

So the equation becomes:
L x 10 x 6 = 840
60L = 840
L = 840 / 60
L = 14

Therefore, the length of the prism is `14` inches. Apologies for the earlier mistake, the length remains 14 inches.

Answer 4

smaller

Answer 5

Apologies for the error in my calculations. Let's try again.

Given:
Volume = 840 cubic inches
Height = 6 inches
Width = 10 inches

Let the length of the prism be L.
We know:
Volume = L x Width x Height
840 = L x 10 x 6
840 = 60L
L = 840 / 60
L = 14

Thus, the length of the prism is 14 inches. Thank you for your patience.