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As a private contractor for a septic tank cleanup company, you oversee the draining of septic tanks in the county. Your company uses a truck with a storage tank capable of holding 30,500 gallons of waste.

Is there enough storage in the truck to drain a full septic tank in the shape of a cube measuring 191 inches on each side? (231 cubic inches in 1 gallon.)

A. There is enough storage in the truck. The volume of the septic tank is about 25,219 gallons.
B. There is enough storage in the truck. The volume of the septic tank is about 30,164 gallons.
C. There is not enough storage in the truck. The volume of the septic tank is about 36,481 gallons.
D. There is not enough storage in the truck. The volume of the septic tank is about 6,967,871 gallons.
E. There is not enough storage in the truck. The volume of the septic tank is about 7,045,500 gallons.

Answer :

There is enough storage in the truck. The volume of the septic tank is about 30,164 gallons.

How to determine if there is enough storage in the truck to drain a full septic tank?

Given that:

Your company uses a truck with a storage tank capable of holding 30,500 gallons of waste.

A full septic tank in the shape of a cube measuring 191 inches on each side.

First, calculate the volume of the septic tank:

Volume of septic tank (V) = S³

where S is the side length of the septic tank

S = 191 inches

V = S³

V = 191³ = 6967871 cubic inches

Since we have 231 cubic inches in 1 gallon:

V = 6967871 / 231 = 30,164 gallons

Thus, the capacity of the full septic tank is 30,164 gallons

Learn more about volume of cube on:

brainly.com/question/1972490

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