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How many solid wood cubes, each with a total surface area of 294 squa
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19 May 2021, 01:28
19 May 2021, 01:28
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Question Stats:
54% (01:17) correct
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How many solid wood cubes, each with a total surface area of 294 square centimeters, can be cut from a solid wood cube with a total surface area of 2,646 square centimeters if no wood is lost in the cutting?
A. 3
B. 9
C. 27
D. 81
E. 243
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
A. 3
B. 9
C. 27
D. 81
E. 243
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
Re: How many solid wood cubes, each with a total surface area of 294 squa
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19 May 2021, 07:02
19 May 2021, 07:02
1
The Surface area of smaller cube = 294 square centimetres = 6*L*L where L is the length of the side of the cube solving for which L = 7
The Surface area of smaller cube = 2646 square centimetres = 6*L1*L1 where L1 is the length of the side of the cube solving for which L1 = 21
Now to calculate how many smaller squares can be carved out from the bigger cube, one simply needs to divide the volume of the bigger cube by the smaller one
Vol of the big cube = 21^3 = (7^3)*(3^3) = a
The volume of small cuber = (7^3) = b
# cubes that can be formed out = a/b = 3^3 = 27
Please give kudos if you find the solution helpful.
The Surface area of smaller cube = 2646 square centimetres = 6*L1*L1 where L1 is the length of the side of the cube solving for which L1 = 21
Now to calculate how many smaller squares can be carved out from the bigger cube, one simply needs to divide the volume of the bigger cube by the smaller one
Vol of the big cube = 21^3 = (7^3)*(3^3) = a
The volume of small cuber = (7^3) = b
# cubes that can be formed out = a/b = 3^3 = 27
Please give kudos if you find the solution helpful.
gmatclubot
Re: How many solid wood cubes, each with a total surface area of 294 squa [#permalink]
19 May 2021, 07:02
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