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# How much paint will be required to paint the exterior of a cubic woode

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Math Expert
Joined: 02 Sep 2009
Posts: 56300
How much paint will be required to paint the exterior of a cubic woode  [#permalink]

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24 Aug 2018, 02:47
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Difficulty:

15% (low)

Question Stats:

92% (00:38) correct 8% (00:19) wrong based on 25 sessions

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How much paint will be required to paint the exterior of a cubic wooden box?

(1) One gallon of paint can cover an area of 150 square feet.
(2) The box's volume is 415 cubic feet.

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How much paint will be required to paint the exterior of a cubic woode  [#permalink]

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24 Aug 2018, 03:46
Bunuel wrote:
How much paint will be required to paint the exterior of a cubic wooden box?

(1) One gallon of paint can cover an area of 150 square feet.
(2) The box's volume is 415 cubic feet.

Painting to be done in the exterior of cubic wooden box , implies that painting to be done in the 6 faces of the cube.
Surface area=6*area of one square face=$$6a^2$$
We need two things to determine the amount (in gallon) of paint:-
a) Surface area of cube
b) gallon per square feet

St1:- One gallon of paint can cover an area of 150 square feet.
Note(a) absent.
Insufficient
St2:- The box's volume is 415 cubic feet.
Side length of the cuboid can be calculated if volume is known$$(a^3=415)$$, So, surface area can be calculated.
However, note(b) is absent.
Insufficient.

Combined, Note(a) & (b) data are available.
Sufficient.

Ans. (c)
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How much paint will be required to paint the exterior of a cubic woode   [#permalink] 24 Aug 2018, 03:46
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