Chapter 12.5, Problem 2GP

To determine

To find: The surface area of skateboard of the ramp and amount of ramp to paint.

Answer to Problem 2GP

Total surface area $=4\times 5.4+5\times 2+4\times 5+4\times 2=59.6{\text{ ft}}^2$

Explanation of Solution

Given: Marcus wants to paint a skateboard launch ramp like the one shown below.

The cost of paint 1 quart covers 100 quare feet.

  

There are total 5 faces of ramp.

First find the area of each face.

Total surface area of ramp = Sum of areas of each face.

Total surface area $=4\times 5.4+5\times 2+4\times 5+4\times 2=59.6{\text{ ft}}^2$

Cost of $100{\text{ ft}}^2$ paint of ramp = 1 quart

Cost of $1{\text{ ft}}^2$ paint of ramp $=\frac{1}{100}\text{ quart}$

Cost of $59.6{\text{ ft}}^2$ paint of ramp $=0.596\text{ quart }$