Question

A cake that is 12 inches long, 9 inches wide, and 2 inches high is cut into 18 equal pieces.

What is the volume of each piece?

Answer 1

12 inches cubed

Explanation:

First we have to find the total volume so we can split it up. We can do this by using the formula LWD = V, where l = length, w = width, and d = depth.

Here, the length is 12, the height is 2, and the depth is 9. We apply the formula:

(12)(2)(9) = 216

Now, we have to split it into 18 separate pieces. We can do this by dividing the total volume (216 inches cubed) by 18.

216/18 = 12

Therefore, each equal piece will be 12 inches cubed

Answer 2

The volume of the cake is:

12 inches x 9 inches x 2 inches = 216 cubic inches

Dividing the volume of the cake by the number of pieces, we get:

216 cubic inches / 18 = 12 cubic inches per piece

Therefore, the volume of each piece is 12 cubic inches.