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SAT Math Solution- 12/20/14

By: Heather Newman, Editor-in-Chief

December 20, 2014

It is important to note that the longest diagonal of the cube is also the diameter of the sphere in which the cube is inscribed. First find the length of the longest diagonal of the cube (equal to the length of the diameter of the sphere), as shown below, using the Pythagorean Theorem:

Since the diameter’s length is 6, the radius’s length is 3. Plugging this value into the formula for the volume of a sphere, V=(4/3)πr³, we find that the volume is C)36π.

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About the Contributor

Heather Newman, Editor-in-Chief

Heather Newman, a current senior at Colonia High School, has written for The Declaration for the past three years. While she aspires to endeavor in mathematics in college and beyond, she is particularly content with the tactile sensation of a pen and blank piece of paper. Heather enjoys writing in a multitude of genres in addition to journalism, and has recently developed an affinity for poetry. In 2013, she received Gold and Silver Keys from the Scholastic Art and Writing Awards and was published in A Celebration of Poets. Aside from the language arts, Heather’s extracurricular passions include the Math Challenge Club, Science Research, Interact Club, swimming, and tennis.

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SAT Math Solution- 12/20/14