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?
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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F84e8cca9-3bea-424c-9905-a116eae23198%2Fc96e23c4-4609-4d19-a2fa-0f5f89c80eb1%2Fzdzuuum_processed.png&w=3840&q=75)
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
![](/static/compass_v2/shared-icons/check-mark.png)
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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