A solid right prism has a height of 16 as shown. Also, its bases are equilateral triangles with side length 12. Points X Y Z and are the midpoints of edges AC, BC, DC respectively. A part of the prism above is sliced off with a straight cut through points X Y Z. Determine the volume of solid CXYZ ,the part that was sliced off.
+1641 A solid right prism has a height of 16 as shown. Also, its bases are equilateral triangles with a side length of 12. Points X Y Z and are the midpoints of edges AC, BC, DC respectively. A part of the prism above is sliced off with a straight cut through points X Y Z. Determine the volume of solid CXYZ, the part that was sliced off.
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A solid CXYZ is a pyramid with an equilateral triangle as its base.
Solid height h = 8
Base area A = 1/4 * √3 * a2 a = 6
Solid volume V = 1/3 * A * h
