Answer :
Final answer:
The total volume of the bouncy object, consisting of a cube with hemispheres protruding from each face measuring 6 inches, is approximately 324.8 cubic inches when rounded to the nearest cubic inch.
Explanation:
The volume of the object can be calculated by adding the volume of the cube and the volumes of the hemispheres protruding from each face.
Volume of cube = side length3 = 63 = 216 cubic inches
Volume of each hemisphere = (2/3)πr3 (for the diameter given, the radius is 3 inches) = (2/3)π(3)3 = 18π cubic inches
Total volume of the object = Volume of cube + 6 Volume of hemisphere = 216 + 6 18π ≈ 324.8 cubic inches (rounded to the nearest cubic inch).
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