Question

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

Answer 1

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