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# If paint costs \$3.20 per quart, and a quart covers 20 square feet, how

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Math Expert
Joined: 02 Sep 2009
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If paint costs \$3.20 per quart, and a quart covers 20 square feet, how  [#permalink]

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14 Feb 2016, 10:54
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Difficulty:

15% (low)

Question Stats:

81% (01:03) correct 19% (01:37) wrong based on 48 sessions

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If paint costs \$3.20 per quart, and a quart covers 20 square feet, how much will it cost to paint the outside of a cube 10 feet on each edge?

A. \$ 1.60
B. \$ 16.00
C. \$ 96.00
D. \$108.00
E. \$196.00

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Re: If paint costs \$3.20 per quart, and a quart covers 20 square feet, how  [#permalink]

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14 Feb 2016, 13:17
Edge length of cube = 10 feet
Total surface area of cube = 6 * side^2
=6* 10^2 = 6*100 = 600 square feet
Cost per quart = 3.2\$
Cost per 20 square feet =3.2 \$
Total cost to paint 600 square feet = 600/20 * 3.2
= 30*3.2 = 96\$
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Re: If paint costs \$3.20 per quart, and a quart covers 20 square feet, how  [#permalink]

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15 Feb 2016, 22:01
total surface area = 6a^2 = 6*10*10 = 600
each quart covers 20 sqr ft
thus total number of quarts = 600/20 = 30

cost will be 30*3.2 = \$96

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Re: If paint costs \$3.20 per quart, and a quart covers 20 square feet, how  [#permalink]

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17 Feb 2016, 22:17
1
Hi All,

The 'math' behind this question can be done in a variety of ways. Here's another way to perform the necessary calculation that keeps the numbers 'small':

We're told that each face of a cube is 10ft x 10ft = 100 sq. ft.

Since 1 quart of paint costs \$3.20 and covers 20 sq. ft., we know that 5(\$3.20) = 5(20 sq. ft)...

5(\$3.20) = \$16 of paint will cover 100 sq. ft.

Since a cube has 6 faces, we'll need to spend 6(\$16) = \$96 to paint all of its sides.

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Re: If paint costs \$3.20 per quart, and a quart covers 20 square feet, how  [#permalink]

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29 Jan 2018, 11:14
Bunuel wrote:
If paint costs \$3.20 per quart, and a quart covers 20 square feet, how much will it cost to paint the outside of a cube 10 feet on each edge?

A. \$ 1.60
B. \$ 16.00
C. \$ 96.00
D. \$108.00
E. \$196.00

The surface area of the cube is 6(10^2) = 600 square feet.

So 600/20 = 30 quarts will be needed, and it will cost 30 x 3.2 = 96 dollars.

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Re: If paint costs \$3.20 per quart, and a quart covers 20 square feet, how   [#permalink] 29 Jan 2018, 11:14
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