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A rectangular prism has volume 12 cubic inches. A triangular pyramid is cut off the cube as shown in the diagram. What is the volume of the remaining piece in cubic inches?

 Mar 10, 2021
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Rectangular prism volume = 12 =  L W H

triangular prism volume =  1/3 base area * height

                                       = 1/3 (  1/2 L W ) H

                                        = 1/6 LWH      is removed      leaving     5/6 LWH       5/6 * 12 = 10 in3    remains

 Mar 10, 2021

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