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 OA is C.
I'm confused with this PS question. Experts, any suggestion about how to solve it? Thanks in advance.
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If paint costs $3.20 per quart, and a quart covers 20...
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Hello LUANDATO.
Let's see your question.
If paint costs $3.20 per quart, and a quart covers 20 square feet, it implies that $$20\ ft^2\ per\ 3.20\ dollars$$. A cube of 10 feet on each edge, has 6 faces with area 10*10=100 feet square. Then we have to paint 6*100=600 feet square.
Therefore, it will cost $$\frac{600}{20}\cdot3.20\ \text{dollars}=96\ \text{dollars}$$ to paint the outside of the cube.
This is why the correct answer is the option [spoiler]C=96.0$[/spoiler]
I hope this answer can help you.
I'm available if you'd like a follow-up.
Regards.
Let's see your question.
If paint costs $3.20 per quart, and a quart covers 20 square feet, it implies that $$20\ ft^2\ per\ 3.20\ dollars$$. A cube of 10 feet on each edge, has 6 faces with area 10*10=100 feet square. Then we have to paint 6*100=600 feet square.
Therefore, it will cost $$\frac{600}{20}\cdot3.20\ \text{dollars}=96\ \text{dollars}$$ to paint the outside of the cube.
This is why the correct answer is the option [spoiler]C=96.0$[/spoiler]
I hope this answer can help you.
I'm available if you'd like a follow-up.
Regards.
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The surface area of the cube is 6(10^2) = 600 square feet.LUANDATO 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
So 600/20 = 30 quarts will be needed, and it will cost 30 x 3.2 = 96 dollars.
Answer: C
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Hi LUANDATO,
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.
Final Answer: C
GMAT assassins aren't born, they're made,
Rich
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.
Final Answer: C
GMAT assassins aren't born, they're made,
Rich
