Question

A right rectangular prism measures 8 inches long, 12 inches high, and 6 inches deep. A half-sphere with a diameter of 2 inches is carved out of the prism. What is the approximate volume of the resulting composite figure? Use π≈3.14. Enter your answer rounded to the nearest whole number in the box.

Answer 1

Answer: 574

Explanation:

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Answer 2

Explanation:

Compute the volumes of both the prism and the sphere. The difference of those volumes will give you the volume of the resulting composite figure.

Volume of prism = length * width * height = 8 * 12 * 6 = 576 cu inches

Volume of sphers = 4/3 * PI * r*3, where r = 1/2 diameter = 1 inches = 4/3 * 3.14159 * 1 = 4.188 cu inches ~ 4 cu inches

volume of composite figurre = 576 - 4 = 572 cu inches