Question

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

Answer 1

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.