Question

Paul bakes raisin bars in a pan shaped like a rectangular prism. The volume of the pan is 252 cubic inches. The length of the pan is 12 inches, and its width is 10-1/2 inches. What is the height of the pan? Enter your answer in the box​

Answer 1

The height of the pan can be found by dividing the volume of the pan by the area of the pan's base.

Step 1: Find the area of the base.

The area of the base is the length multiplied by the width:

Area = Length * Width = 12 inches * 10.5 inches = 126 inches²

Step 2: Divide the volume of the pan by the area of the base:

Height = Volume / Area = 252 cubic inches / 126 inches² = 2 inches

Answer 2

The volume of a rectangular prism is given by the formula V = lwh, where l, w, and h are the length, width, and height of the prism, respectively. We are given that the volume of the pan is 252 cubic inches, the length is 12 inches, and the width is 10-1/2 inches.

So, 252 = 12 x 10.5 x h

Simplifying the right side of the equation, we get:

252 = 126h

Dividing both sides by 126, we get:

h = 2

Therefore, the height of the pan is 2 inches.