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Gift Wrapping A gift box has the shape of a rectangular prism. How much wrapping

paper do you need to cover the box?
You need
in.2 of paper to cover the box.
C
16 in
12 in

Gift Wrapping A gift box has the shape of a rectangular prism. How much wrapping paper-example-1
User Pillowcase
by
8.2k points

1 Answer

5 votes

Answer:

608 in²

Explanation:

To figure out how much wrapping paper we need to cover the box, we can find its surface area.

The surface area of a rectangular prism (a box) is defined as:


SA = 2A + (P \cdot d)

where
A is the area of the base,
P is the perimeter of the base, and
d is the prism's depth.

From the diagram, we can identify the following values for these variables:


A=16\cdot 12 = 192 \text{ in}^2


P = 16 + 12 + 16 + 12 = 56 \text{ in}


d = 4\text{ in}

Now, we can plug these values in for the variables in the above formula and solve for the prism's surface area.


SA = 2A + (P \cdot d)


SA = 2(192) + (56 \cdot 4)


SA = 384 + 224


SA = 608 \text{ in}^2

So, we need 608 in² of paper to cover the box.

User Jitendra A
by
7.8k points

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