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?
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