10 POINTS!.A sculptor is planning to make two triangular prisms out of steel. The sculptor will use △ABC for the bases of one pr
ism and △DEF for the bases of the other prism. Is △ABC similar to △DEF? Explain.
Suppose the sculptor makes both prisms with the same height. Find the volume of each prism. Which prism will have a greater volume? Show your work.
Suppose the sculptor makes both prisms with the same height. Find the volume of each prism. Which prism will have a greater volume? Show your work.
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You can answer this problem using the midpoint formula, but we can work out the 4th vertex by just logically thinking it through by first drawing out the rhombus on an x-y coordinate plane. I wrote the answer out on paper since it is easier than typing. Let me know if you have any questions.
