All ISEE Upper Level Quantitative Resources
Example Questions
Example Question #43 : Solid Geometry
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
(A) and (B) are equal
It is impossible to determine which is greater from the information given
(B) is greater
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.
Gabby
Certified Tutor
Certified Tutor
University of Oregon, Bachelor in Arts, Journalism. University of Oregon, Current Grad Student, Communication, General.
Ana
Certified Tutor
Certified Tutor
Grand Canyon University, Bachelors, Education. Grand Canyon University, Masters, Education.
All ISEE Upper Level Quantitative Resources
Popular Subjects
LSAT Tutors in Washington DC, French Tutors in Houston, ACT Tutors in Miami, French Tutors in Atlanta, MCAT Tutors in Washington DC, Reading Tutors in Boston, SSAT Tutors in Dallas Fort Worth, Chemistry Tutors in San Francisco-Bay Area, French Tutors in Denver, GRE Tutors in New York City
Popular Courses & Classes
Spanish Courses & Classes in Los Angeles, ISEE Courses & Classes in Denver, Spanish Courses & Classes in Seattle, ACT Courses & Classes in San Diego, SSAT Courses & Classes in Chicago, MCAT Courses & Classes in Phoenix, Spanish Courses & Classes in San Diego, MCAT Courses & Classes in Washington DC, SAT Courses & Classes in Philadelphia, GMAT Courses & Classes in Philadelphia
Popular Test Prep
GMAT Test Prep in Philadelphia, GRE Test Prep in Miami, GMAT Test Prep in Denver, LSAT Test Prep in Denver, MCAT Test Prep in Philadelphia, ACT Test Prep in Dallas Fort Worth, SAT Test Prep in Boston, LSAT Test Prep in Chicago, GRE Test Prep in Boston, MCAT Test Prep in Washington DC