SOLUTION: a lake is 928 acres and has a depth of 17 feet, how may cubic feet of water is in the lake?

Algebra.Com
Question 38564This question is from textbook college algebra
: a lake is 928 acres and has a depth of 17 feet, how may cubic feet of water is in the lake? This question is from textbook college algebra

Found 2 solutions by KneesAndToes, AnlytcPhil:
Answer by KneesAndToes(13)   (Show Source): You can put this solution on YOUR website!
Use LxWxH to find total ft3


1 acre = 43,560 ft2 (multiply both sides by 928)
928 acres = 40,423,680 ft2 (this total is LxW)


(40,423,680 ft2)(17ft) = 687,202,560 ft3
Answer by AnlytcPhil(1806)   (Show Source): You can put this solution on YOUR website!
A lake is 928 acres and has a depth of 17 feet, how may cubic feet of water is
in the lake?

Any shape that has the same shape and area of cross-section all the way through
is a prism. The equation for calculating the volume of a prism is the cross-
sectional area of the prism multiplied by its length.

If we assume the depth everywhere is 17 feet, then the lake is a prism.

The area of the lake's cross-section, i.e., its surface is 928 acres

Since 1 Acre = 43560 ft², 928 Acres = 928×43560 ft² = 40423680 ft²

Volume = (Area of cross-section)×(height, which in this case is depth)

Volume = 40423680 ft² × 17 ft = 687202560 ft³

Edwin
AnlytcPhil@aol.com
RELATED QUESTIONS

Hello, I am not sure how to go about answering the following questions to come up with (answered by kingme18)
THE AVERAGE DEPTH OF A LAKE IS ESTIMATED TO BE 40. FT. IF THE SURFACE AREA IS 15 ACRES,... (answered by Alan3354)
A lake is 120 fathoms deep. Use the fact that there are 6 feet in a fathom to tell the... (answered by checkley71)
A lake is 120 fathoms deep. Use the fact that there are 6 feet in a fathom to tell the... (answered by Mathtut)
please help!! A lake is 120 fathoms deep. Use the fact that there are 6 fett in a... (answered by tutorcecilia)
The water depth of falcon lake is decreasing at a rate of 2 inches per day. How much does (answered by fractalier)
A lake shore lot was described in a real estate magazine. Its frontage is 100 FEET. Its (answered by stanbon)
A pool has a uniform depth of 5'. How many cubic feet of water are in the full... (answered by Earlsdon)
If the amount of mercury in a polluted lake is 0.4 micrograms Hg/mL, what is the total... (answered by scott8148)