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Darina [25.2K]
4 years ago
8

A building contractor is building a backyard playground and wishes to put down rubber mulch to provide safety from falls. The co

ntractor wishes to put the mulch in a pit in the shape of a rectangular solid 21 feet​ long, 14 feet​ wide, and 9 inches deep.
​a) Determine the​ volume, in cubic​ feet, of mulch the contractor will need.
​b) If mulch costs ​$11 per cubic​ foot, what will the cost of mulch​ be?
Mathematics
1 answer:
aleksandr82 [10.1K]4 years ago
7 0

Answer:

a)220.5\ ft^3\\\\b)\$2,425.5

Step-by-step explanation:

a) The volume of a rectangular prism can be calculated by multiplying its dimensions.

In this case, you know the rectangular solid has 21 feet​ long, 14 feet​ wide, and 9 inches deep.

Since 1\ ft=12\ in, then its depth in feet is:

depth=\frac{(9\ in)(1\ ft)}{12\ in}=\frac{3}{4}\ ft

 Therefore, its volume is:

V=(21\ ft)(14\ ft)(\frac{3}{4}\ ft)\\\\V=220.5\ ft^3

b) Knowing that each cubic foot of mulch costs $11, you can calculate the total cost of the mulch the contractor needs to buy, multiplying the volume by the $11.

Then, you get:

Total\ cost=(220.5)(\$11)=\$2,425.5

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Given that Janie has $3. She earns $1.20 for each chore she does and can do fractions of chores. She wants to earn enough money to buy a CD for $13.50.

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