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A rectangular tank needs to be coated with insulation. The tank has dimensions of 4 feet, 5 feet, and 2.5 feet. Each square foot of insulation costs $20. How much will it cost to cover the surface of the tank with insulation?

A rectangular tank needs to be coated with insulation. The tank has dimensions of 4 feet, 5 feet, and 2.5 feet. Each square foot of insulation costs $20. How much will it cost to cover the surface of the tank with insulation?

Total Surface Area of Rectangular Solid = 2(LB + BH + LH)

i.e. Total Surface Area of the tank to be painted = 2*(4*5 + 5*2.5 + 4* 2.5) = 2*(20+12.5+10) = 85 square feet

Cost of Painting 85 square feet @$20 per square feet = 85*20 = $1700

Answer: option D
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A rectangular tank needs to be coated with insulation. The tank has dimensions of 4 feet, 5 feet, and 2.5 feet. Each square foot of insulation costs $20. How much will it cost to cover the surface of the tank with insulation?

A. $1000 B. $1300 C. $1500 D. $1700 E. $1900

Kudos for a correct solution.

total SA=2(4*5+2.5*5+4*2.5)=85.. cost per sq ft=20.. total cost=85*20=1700 ans D
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Re: A rectangular tank needs to be coated with insulation. The tank has [#permalink]

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01 Jul 2015, 18:56

2

This post received KUDOS

f(\(\frac{x}{20}\)) = surface area, and surface area = \(2(4*5 + 4*2.5 + 5*2.5) = 85\). Thus, A. $1000 = 50. Too low. B. $1300 = 65. Too low. C. $1500 = 75. Too low. D. $1700 = 85. Surface area. Correct E. $1900 = 95. Too high.

A rectangular tank needs to be coated with insulation. The tank has dimensions of 4 feet, 5 feet, and 2.5 feet. Each square foot of insulation costs $20. How much will it cost to cover the surface of the tank with insulation?

Re: A rectangular tank needs to be coated with insulation. The tank has [#permalink]

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30 Apr 2017, 22:37

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A rectangular tank needs to be coated with insulation. The tank has dimensions of 4 feet, 5 feet, and 2.5 feet. Each square foot of insulation costs $20. How much will it cost to cover the surface of the tank with insulation?

A. $1000 B. $1300 C. $1500 D. $1700 E. $1900

We can first determine the surface area of the tank:

SA = 2(w x l) + 2(w x h) + 2(h x l)

SA = 2(4 x 5) + 2(4 x 2.5) + 2(2.5 x 5)

SA = 40 + 20 + 25

SA = 85

Since the surface area is 85 square feet, and each square foot costs 20 dollars, the total cost is 85 x 20 = 1700 dollars.

Answer: D
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