What is the volume of the cube?
(1) The surface area of the cube is 600 square inches.
(2) The length of diagonal AB is 10√3.
What is the volume of the cube?
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st(1) implies 6a^2=600 or a=10 and we get a^3=1000 SuffStriver wrote:What is the volume of the cube?
(1) The surface area of the cube is 600 square inches.
(2) The length of diagonal AB is 10√3.
st(2) AB=Sqrt(A^2+B^2+C^2)=A*Sqrt(3)=10Sqrt(3), where A=10 and A^3=1000 Suff
d
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Let each side of the cube = s inchesStriver wrote:What is the volume of the cube?
(1) The surface area of the cube is 600 square inches.
(2) The length of diagonal AB is 10√3.
Then volume = s^3
(1) The surface area of the cube is 600 square inches.
Surface area of cube = area of face * no. of faces
So, surface area of cube = s² * 6
s² * 6 = 600 implies s² = 100 or s = 10
Hence, volume = 10^3 = 1000; SUFFICIENT.
(2) The length of diagonal AB is 10√3.
Diagonal of cube = √(s² + s² + s²) = s√3
s√3 = 10√3 implies s = 10
So, volume = 10^3; SUFFICIENT.
The correct answer is D.
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