AnswersEAP-Algebra Functions and Data Analysis B CRJoint and Combined VariationQuestion 8
8
QuizMultiple Choice

Joint and Combined Variation

Question 8 • EAP-Algebra Functions and Data Analysis B CR

The volume of a rectangular prism varies jointly with the length and width of the figure when the height remains constant. The volume of a rectangular prism is 672 cubic centimeters. The figure has a length of 8 centimeters and a width of 14 centimeters. A second rectangular prism with the same height as the first prism has a length of 12 centimeters and a width of 8 centimeters. What is the volume of the second prism?

Answer
A
576 cubic centimeters
B
768 cubic centimeters
C
784 cubic centimeters
D
1,344 cubic centimeters

Explanation

With height constant, volume varies jointly with length and width, so compare the products of length and width. The first prism has a length-width product of 8 × 14 = 112; the second has 12 × 8 = 96. Thus the second volume is 672 × (96/112) = 576 cubic centimeters, which is choice A.

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