Erin covered a box with contact paper. the dimensions of the box are shown in the figure below: a rectangular prism is shown. the length of the rectangular prism is labeled as 11 inches, the height is labeled as 9 inches and the width is labeled as 8 inches. the contact paper costs 8¢ per square inch. she will only pay for the contact paper used to cover the box, even if there is waste or extra. how much money did erin spend on the contact paper? $20.72 $41.44 $48.12 $73.14

Erin needs to spend on the contact paper to cover the box completely.  

Further explanation:  

The given length, breadth and height of the box is and respectively.  

The cost of the contact paper is per square inch therefore the cost in dollars for the contact paper will be .

Let the length, breadth and height of the rectangular prism box be and then,

The area of a rectangular prism is defined as,

So, the total surface area of the box is obtained as,

Therefore, the total surface area of the box is .

Since the price of contact paper is then the total cost of covering the box with contact paper is calculated as,

Hence, Erin needs to spend to cover the rectangular prism box completely with the contact paper.

Learn more:  

1. To solve one variable linear equation link

2. Linear equation application link

3. Composite functions link

Answer details  

Grade: High school  

Subject: Mathematics  

Chapter: Linear equation  

Keywords: contact paper, box, rectangular prsim, prism box, 8 cents, 11 inches, 9 inches, 8 inches, length, breadth, height, surface area, Erin, spend, square inch, total surface area.