A building contractor is building a backyard playground and wishes to put down rubber mulch to provide safety from falls. The contractor wishes to put the mulch in a pit in the shape of a rectangular solid 25 feet long, 17 feet wide, and 9 inches deep. a) Determine the volume, in cubic feet, of mulch the contractor will need. When appropriate, use the a key on your calculator. b) If mulch costs $11 per cubic foot, what will the cost of mulch be?

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter63: Volumes Of Pyramids And Cones
Section: Chapter Questions
Problem 25A
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A building contractor is building a backyard playground and wishes to put down rubber mulch to provide safety from falls. The contractor wishes to put the mulch in a pit
in the shape of a rectangular solid 25 feet long, 17 feet wide, and 9 inches deep.
a) Determine the volume, in cubic feet, of mulch the contractor will need. When appropriate, use the a key on your calculator.
b) If mulch costs $11 per cubic foot, what will the cost of mulch be?
Transcribed Image Text:A building contractor is building a backyard playground and wishes to put down rubber mulch to provide safety from falls. The contractor wishes to put the mulch in a pit in the shape of a rectangular solid 25 feet long, 17 feet wide, and 9 inches deep. a) Determine the volume, in cubic feet, of mulch the contractor will need. When appropriate, use the a key on your calculator. b) If mulch costs $11 per cubic foot, what will the cost of mulch be?
Expert Solution
Step 1

(a) the rectangular solid has :

length = 25 feet,

width = 17 feet,

&, depth = 9 inches = 9/12 feet = 0.75 feet.

 

So, the volume is,

25×17×0.75 cubic feet 

= 318.75 cubic feet.

So, the contractor will require 318.75 cubic feet of mulch.

 

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