SOLUTION: A concrete pile from a waterfront pier was pulled from the harbor water at Port hueneme,California. It's dimensions were 14 in. × 14 in. × 15 in. (1 in.= 2.54 cm) a. What is the s

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Question 987716: A concrete pile from a waterfront pier was pulled from the harbor water at Port hueneme,California. It's dimensions were 14 in. × 14 in. × 15 in. (1 in.= 2.54 cm)
a. What is the surface area, expressed in square feet, of a single face of the pile? Exclude the ends of the pile.
b. Determine the total surface area, expressed in square meters, of the pile, including the ends of the pile.
c. How many cubic meters of concrete were used to make the pile?
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
.
The ends of the pile are not defined.
.
a) There are two face sizes. Since ends are not defined, neither can be excluded.
.
Face%5B1%5D=%2814in%2A14in%29%281ft%5E2%2F144in%5E2%29=1.36ft%5E2
Face%5B2%5D=%2814in%2A15in%29%281ft%5E2%2F144in%5E2%29=1.46ft%5E2
.
b)
There are two 14in x 14in faces and four 15in x 14in faces:
.
Surface+area=%282%28Face%5B1%5D%29%2B4%28Face%5B2%5D%29%29%280.0929m%5E2%2F1ft%5E2%29
.
Surface+area=%282%281.36ft%5E2%29%2B4%281.46ft%5E2%29%29%280.0929m%5E2%2F1ft%5E2%29
.
Surface+area=%282.72ft%5E2%2B5.84ft%5E2%29%280.0929m%5E2%2F1ft%5E2%29
.
Surface+area=%288.56ft%5E2%29%280.0929m%5E2%2F1ft%5E2%29
.
Surface+area=0.795m%5E2
.
ANSWER: The surface area is 0.795 square meters.
.
c)
Volume=L x W x H=(14in)(14in)(15in)(1.64*10^-5m^3)/1in^3
Volume=(2940in^3)((1.64*10^-5m^3)/1in^3)=4.82*10-2m^3
ANSWER The volume is 0.0482 cubic meters.