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# What is the volume of a certain cube? 1) The cube has a

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Senior Manager
Joined: 02 Oct 2005
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What is the volume of a certain cube? 1) The cube has a [#permalink]

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03 Nov 2005, 10:13
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What is the volume of a certain cube?

1) The cube has a width of 5 cm
2) The cube has a surface area of 150 cm

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Manager
Joined: 04 Oct 2005
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03 Nov 2005, 10:16
D for me

(1) in a cube, all sides have the same length, so it does not matter which one is provided... 5x5x5 = 125

(2) A cube has 6 equal surfaces... 150:6=25. The area of each of the six squares is 25, thus one side has the length of 5.
Volume 5x5x5=125

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Manager
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03 Nov 2005, 11:19
It's D.

Q: Vol of cube= a^3= ? or a=?

1) Width=5 => a=5

2) Surface area= 6*a^2 = 150 => a=5
SUFF => D
In Stmt-2, surface area should have been in cm^2

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VP
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03 Nov 2005, 13:18
mbaqst wrote:
It's D.

Q: Vol of cube= a^3= ? or a=?

1) Width=5 => a=5

2) Surface area= 6*a^2 = 150 => a=5
SUFF => D
In Stmt-2, surface area should have been in cm^2

Good explanation and good catch. Thanks.

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Senior Manager
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03 Nov 2005, 20:16
Thats correct, OA is D and here goes the detailed explanation for others' benefit.

The volume of a cube is length * width * depth. In a cube, the length, width, and depth are the same measurement.

Looking at statement 1:

This statement provides the width of the cube. Since the width is the same as the depth and the length, we can determine the volume of the cube.

Thus, statement (1) ALONE is sufficient. We can now eliminate C and E.

Looking at statement 2:

The surface area of a cube is equal to the sum of the areas of each of the cubes six sides. The area of each side is the length times the width of the side. Since each side of a cube is a square, the length and the width are the same. Thus, we can set up the equation:

6(length * width) = 150 cm
6(length2) = 150 [we can use length squared because length = width]
(length2) = 25
length = square root(25)
length = 5 cm

Since we know the length, we can now determine the volume of the cube.

Statement (2) ALONE is sufficient.

Thus, EACH statement ALONE is sufficient.

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VP
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04 Nov 2005, 19:47
D for me as well. Almost didn't read the question carefully. Its a cube, not a BOX.

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Director
Joined: 27 Jun 2005
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04 Nov 2005, 21:32
yup its D

A ) side is given so volume side^3
B) surface area 6 a^2 = 150 and the volume is a^3 Suffi

so D

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Director
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Location: On Vacation at My Crawford, Texas Ranch

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04 Nov 2005, 22:17
Hey I'll join the crowd and say D as well!
_________________

"Wow! Brazil is big." â€”George W. Bush, after being shown a map of Brazil by Brazilian president Luiz Inacio Lula da Silva, Brasilia, Brazil, Nov. 6, 2005

http://www.nytimes.com/2005/11/21/international/asia/21prexy.html

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04 Nov 2005, 22:17
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