pocahontas1144 pocahontas1144
  • 30-03-2017
  • Mathematics
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A rectangular prism has a volume of 189 cm^3 the height of the prism is 3 cm what is the dimensions of the base

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lowkey33savage
lowkey33savage lowkey33savage
  • 30-03-2017
The answer is 33cm. Hello
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Аноним Аноним
  • 30-03-2017
1) surface of a rectangular prism=2(length x width)+2(length x height)+2(width x height)

Therefore:
148 cm²=2(5 cm x 4 cm)+2(5 cm x h)+2(4 cm x h)=
148 cm²=40 cm²+10 cm h+8 cm h
18 cm h=148 cm²-40 cm²
18 cm h=108 cm²
h=108 cm² / 18 cm=6 cm.

answer: height=6 cm


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