Question

Manuel wants to apply a new coat of varnish to the outside of his little
brother's toy chest. The toy chest is in the shape of a rectangular prism 4 feet
long, 3 feet wide, and 2.5 feet deep. One can of varnish costs $4.50 and overs
25 square feet.
What is the surface area, not including the bottom, of the outside of his little
brother's toy chest? How many cans of varnish need to be purchased to cover
the toy chest? Show your work and clearly explain how you determined your
answer.

Answer 1

About 3 cans of varnish need to be purchased to cover the toy chest.

Prism

A prism is a 3-dimensional shape with two identical shapes facing each other.

Given that:

length (l) = 4 ft., width (w) = 3 ft. and height (h) = 2.5 ft.

The surface area of the prism (A) is given by:

A = 2(lh + lw + hw)

Substituting:

A = 2(4 * 3 + 4 * 2.5 + 3 * 2.5)  = 59 ft²

1 can covers 25 ft², for 59 ft², number of cans = 59 ft²/25 ft² = 2.36

About 3 cans of varnish need to be purchased to cover the toy chest.

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