All ISEE Upper Level Quantitative Resources
Example Questions
Example Question #2 : How To Find The Surface Area Of A Sphere
is a positive number. Which is the greater quantity?
(A) The surface area of a sphere with radius
(B) The surface area of a cube with edges of length
Possible Answers:
(A) is greater
(B) is greater
It is impossible to determine which is greater from the information given
(A) and (B) are equal
Correct answer:
(B) is greater
Explanation:
The surface area of a sphere is times the square of its radius, which here is ; the surface area of the sphere in (A) is .
The area of one face of a cube is the square of the length of an edge, which here is , so the area of one face of the cube in (B) is . The cube has six faces so the total surface area is .
, so , giving the sphere less surface area. (B) is greater.
All ISEE Upper Level Quantitative Resources
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