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.
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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