Question

How much total wrapping paper does it take to wrap two gifts: one with the dimensions of 6 cm by 10 cm by 9.5 cm and the other with dimensions 14 cm by 17.25 cm by 15 cm. If we were to fill the boxes with packing peanuts, how many total cubic centimeters would we need of packaging peanuts?

Answer 1

gift 1:

424 cm^2

570 cm^3

gift 2:

1420.5 cm^2

3622.5 cm^3

Explanation:

We have to calculate the surface area of these gifts in order to know the amount of wrapping paper.

The formula for the surface area is:

A = 2*ab + 2*ac + 2*bc

Gift 1:

A = 2*6*10 + 2*6*9.5 + 2*10*9.5

A = 424 cm^2

That means that gift 1 needs 424 cm^2 of wrapping paper

Gift 2:

A = 2*14*17.25 + 2*14*15 + 2*17.25*15

A = 1420.5 cm^2

That means that gift 2 needs 1420.5 cm^2 of wrapping paper

Now, to calculate the cubic centimeters of packaging peanuts, we calculate the volume, the volume has as formula:

V = a*b*c

Gift 1:

V = 6*10*9.5

V = 570 cm^3

This means that gift 1 needs 570 cm^3 of packaging peanuts

Gift 2:

V = 14*17.25*15

V = 3622.5 cm^3

That means that gift 2 needs 3622.5 cm^3 of packaging peanuts