A rectangular tank needs to be coated with insulation. The tank has dimensions of 4 feet, 5 feet, and 2.5 feet. Each

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Vincen: Legendary Member; Posts: 2898; Joined: Thu Sep 07, 2017 2:49 pm; Thanked: 6 times; Followed by:5 members

A rectangular tank needs to be coated with insulation. The tank has dimensions of 4 feet, 5 feet, and 2.5 feet. Each

by Vincen » Fri Jun 19, 2020 2:37 am

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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

[spoiler]OA=D[/spoiler]

Source: Manhattan GMAT

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Source: Beat The GMAT — Problem Solving | Fri Jun 19, 2020 2:37 am

deloitte247: Legendary Member; Posts: 2214; Joined: Fri Mar 02, 2018 2:22 pm; Followed by:5 members

Re: A rectangular tank needs to be coated with insulation. The tank has dimensions of 4 feet, 5 feet, and 2.5 feet. Each

by deloitte247 » Sat Jun 20, 2020 12:25 pm

Let length (l) = 4 feet
Let breadth (b) = 5 feet
Let height (h) = 2.5 feet

The total surface area of rectangular solid = 2(lb + bh + lh)
= 2[(4*5) + (5*2.5) + (4*2.5)]
=2(20 + 12.5 + 10) = 2 (42.5)

Total surface area = 85 square feet
If 1 square foot insulation costs => $20, then 85 square feet insulation => 85 * 20 = $1700

Answer = D