Problem

14. GIFTS A gift box is a rectangular prism 14 inches long, 5 inches wide, and 4 inches high, If the box is to be covered in fabric, how much fabric is nended if there is no overlap?

Solution

Step 1 :We are given a gift box which is a rectangular prism with length 14 inches, width 5 inches, and height 4 inches. We need to find out how much fabric is needed to cover the box without any overlap.

Step 2 :To find this, we need to calculate the surface area of the rectangular prism. The formula for the surface area of a rectangular prism is \(2lw + 2lh + 2wh\), where \(l\) is the length, \(w\) is the width, and \(h\) is the height.

Step 3 :Substituting the given values into the formula, we get \(2*14*5 + 2*14*4 + 2*5*4\).

Step 4 :Solving this, we get a surface area of 292 square inches.

Step 5 :So, the amount of fabric needed to cover the box without any overlap is 292 square inches.

Step 6 :Final Answer: \(\boxed{292}\)

From Solvely APP
Source: https://solvelyapp.com/problems/20624/

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