Question

What is the surface area of 1 Katie's chests? What is the surface area of all four chests Katie needs to paint?

Answer 1

We have to add the areas from A to F.

We then can write:

`S=A+B+C+D+E+F`

As each area is a rectangle, the area is the product of the sides.

We can also simplify and see that:

`A=E=16\cdot13=208`
`B+C+D+F=25\cdot(13+16+13+16)=25\cdot58=1450`

Then:

`\begin{gathered} S=A+(B+C+D+F)+E \\ S=208+1450+208 \\ S=1866in^2 \end{gathered}`

The surface of one chest is 1866 square inches.

The four chests will represent:

`4\cdot1866=7464in^2`

If each can paints 933 square inches, she will need:

`(7464)/(933)=8\text{ cans}`

Answer:

Each chest has a surface of 1866 sq. in.

The four chest represent 7464 sq. in. of surface area.

She needs 8 cans of paint to paint all 4 chests.