   Chapter 9.1, Problem 37E ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

#### Solutions

Chapter
Section ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
9 views

# Zaidah plans a raised flower bed 2 ft high by 12 ft wide by 15 ft long. The mulch, soil, and peat mixture used to fill the raised bed costs $15.75 per cubic yard. What is the total cost of the ingredients used to fill the raised garden? To determine To find: The total cost of the ingredients used to fill the raised garden. Explanation The volume of any solid is the region of space occupied by it and in general the volume of a solid is given by the product of its base area and altitude. For a regular solid prism with base area B and altitude h, the volume is given by the formula V=Bh. Calculation: Given, The dimensions of the flower bed is, 2 ft × 12 ft × 15 ft. Cost of raising the flower bed is$15.75 per cubic yard.

First let us calculate the quantity of soil, peat mixture need (volume) to be used to fill the raised bed.

The dimensions of the flower bed is l=2 ft,

w=12 ft,

h=15 ft.

Now, the volume of the flower bed is given by the formula

V=lwh

=2 ft · 12 ft · 15 ft

V=360 ft3

Now, convert the measure of volume from the unit of cubic foot to the unit of yard

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