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Joanna is wrapping a present in the box shown. Find the amount of wrapping paper in square inches that Joanna needs, not counting overlap.

Joanna is wrapping a present in the box shown. Find the amount of wrapping paper in-example-1

1 Answer

7 votes

Recall


1\text{ foot = 12inches}

Given parameters

Length =12inches

Breadth = 8inches

Height =6 inches

Step 1

Formula

The total surface area of a cuboid


\text{The total surface area }of\text{ a cuboid =2(lb+bh+hl)}

Step 2

Substitute the given parameters


\begin{gathered} \text{The total surface area }of\text{ a cuboid =2((}12*8)\text{+(8}*6)\text{+(6}*12)\text{)} \\ \text{The total surface area }of\text{ a cuboid =2((96})\text{+(48})\text{+(72})\text{)} \\ \text{The total surface area }of\text{ a cuboid =2(216)} \\ \text{The total surface area }of\text{ a cuboid =}432in^2 \end{gathered}

The final answer

The amount of wrapping paper that Joanna needs is 432 square inches

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