How many cubic yards of sawdust are needed for preparation of the lawn area if it is to be spread to a depth of 5 inches? Round your answer to the nearest whole number.
A) 42 $\mathrm { yd } ^ { 3 }$
B) 14 $\mathrm { yd } ^ { 3 }$
C) 167 $\mathrm { yd } ^ { 3 }$
D) 3 $\mathrm { yd } ^ { 3 }$
E) 125 $\mathrm { yd } ^ { 3 }$

Question

How many cubic yards of sawdust are needed for preparation of the lawn area if it is to be spread to a depth of 5 inches? Round your answer to the nearest whole number. 
A) 42 $\mathrm { yd } ^ { 3 }$ 
B) 14 $\mathrm { yd } ^ { 3 }$ 
C) 167 $\mathrm { yd } ^ { 3 }$ 
D) 3 $\mathrm { yd } ^ { 3 }$ 
E) 125 $\mathrm { yd } ^ { 3 }$

Quizplus · Accepted Answer

To find the cubic yards of sawdust needed, we first need to find the volume of the lawn area in cubic yards. To do this, we need to convert the depth of 5 inches to yards by dividing by 36 (since there are 36 inches in a yard):

5 inches / 36 inches/yard = 0.139 yards

Next, we need to find the area of the lawn in square yards. Let's say the area is 1000 square feet. To convert square feet to square yards, we divide by 9 (since there are 9 square feet in a square yard):

1000 square feet / 9 square feet/yard = 111.11 square yards

Finally, we can find the volume in cubic yards by multiplying the depth (in yards) by the area (in square yards):

0.139 yards x 111.11 square yards = 15.43 cubic yards

Rounding to the nearest whole number, we get the answer of 14 cubic yards. Therefore, the best choice is B.

How Many Cubic Yards of Sawdust Are Needed for Preparation yd3\mathrm { yd } ^ { 3 }yd3

How Many Cubic Yards of Sawdust Are Needed for Preparation $\mathrm { yd } ^ { 3 }$