Question

Anna is wrapping a birthday gift for her brother and has one large piece of wrapping paper left. The size of the paper is 6 feet by 4 feet. Will she have enough paper to cover a box that is 12in × 6in × 4in?

Answer 1

We need to find the surface area of the box.
To find the surface area, we'll use this.
2(12×6)+2(12×4)+2(6×4)=A
2(72)+2(48)+2(24)
144+96+48
288 in²
Now, we need to convert the wrapping paper into inches. There are 12 inches in each foot.
6×12=72
4×12=48
48×72=3,456 in²
So, she will have enough to wrap the box.

Answer 2

Yes, she will have enough paper to cover a box.

Explanation:

We are given that Anna is wrapping a birthday gift for her brother .

Size of paper =6 feet by 4 beet

Dimensions of box=
`12 in* 6 in* 4 in`

We know that formula

Surface area of cuboid=2(lb+bh+hl)

Therefore, by using this formula

Surface area of box=
`2(12*6+6*4+4*12)`

Surface area of box=288 square inches

Surface area of paper=
`6*4`=24 square feet

We know that 1 feet =12 inches

Therefore, surface area of paper=
`24*144`=3456 square inches.

Surface area of paper is greater than surface area of box.

Hence, she will have enough paper to cover a box .