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Please help!!!
A sculptor is planning to make two triangular prisms out of steel. The sculptor will use ABC for the bases of one prism and DEF for the bases of the other prism.
a) is ABC similar to DEF explain
b) suppose the sculptor makes both prisms with the same height. which prism will have a greater volume? how many times greater? show your work

Please help A sculptor is planning to make two triangular prisms out of steel The sculptor will use ABC for the bases of one prism and DEF for the bases of the class=

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thebecks

Answer:

a) yes, they are similar

b) ΔDEF will have a greater area

1.2 times greater (which is the same proportion as 36/30)

Step-by-step explanation:

a) 40/48 = 0.8333

30/6 = 0.8333

Same ratio so they are similar

b) ΔDEF will have a greater area because EF is longer than BC.

area of ΔABC = 1/2(30)(40) = 600 cm²

area of ΔDEF = 1/2(36)(40) = 720 cm²

720/600 = 1.2 x greater