Question

1. myla wants to wrap a birthday present for her mother, but needs to make sure she has enough wrapping paper. the roll of birthday paper covers 2,040 in.². myla has a large box with a length and width of 22 inches, and a height of 13.2 inches. does myla have enough paper to wrap the gift? how many square inches (in.²) of paper will she have left, or still need?

myla
ⓐ will
ⓑ will not
have enough paper to wrap the gift.

myla
ⓐ has 975.2 in.² left over.
ⓑ has 1,265.6 in.² left over.
ⓒ still needs 89.6 in.².
ⓓ still needs 476.8 in.².

Explanation:

Step1: Calculate box surface area

The surface area of a rectangular prism is given by $SA = 2(lw + lh + wh)$, where $l=22$, $w=22$, $h=13.2$.

$$\begin{align*} SA &= 2((22\times22)+(22\times13.2)+(22\times13.2))\\ &= 2(484 + 290.4 + 290.4) \end{align*}$$

Step2: Simplify the sum inside

Add the values inside the parentheses.

$$ SA = 2(484 + 580.8) = 2(1064.8) $$

Step3: Compute total surface area

Multiply to get the total surface area.

$$ SA = 2129.6 \text{ in}^2 $$

Step4: Compare to paper area

Subtract paper area from surface area: $2129.6 - 2040 = 89.6$

Answer:

A. Myla will not have enough paper to wrap the gift.
B. Myla still needs 89.6 in.$^2$.