Question

1. A pedestal on which a statue is raised on is a rectangular concrete solid measuring nine

feet long, nine feet wide, and six inches high. How much is the cost of the concrete in the
pedestal, if concrete costs $70 per cubic yard?

Answer 1

$107.1

Explanation:

The problem has dimension in feet while concrete cost is given in yards so first step is to convert dimensions into yard.

dimensions of rectangular pedestal = (nine feet long, nine feet wide, and six inches high)

1 feet = 0.33 yard

9 feet = 9 * 0.33 yard = 3 yard

1 inch = 0.0277778 yard

6 inch = 6 * 0.0277778 yard = 0.166667 yard = 0.17 yard ( rounded to two decimal points)

Volume of cuboid is = length * width * height

the pedestal has rectangular base hence combine with height , it is cuboid structure.

Volume of rectangular pedestal = 3 yard * 3 yard * 0.17 yard = 1.53 cubic yard

cost of one cubic yard = $70

cost of 1.53 cubic yard = $70 * 1.53 = $107.1

$107.1 is the cost of the concrete in the

pedestal.