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BARSIC [14]
2 years ago
12

A rectangular prism is removed from a triangular prism with a volume of 200 cubic units. The volume of the final figure is 180 c

ubic units.
What could be the dimensions of the prism that was removed?
4 by 2 by 5
3 by 1 by 8
2 by 1 by 7
2 by 2 by 5
Mathematics
2 answers:
frozen [14]2 years ago
7 0

Answer:

2 by 2 by 5

Step-by-step explanation:

A rectangular prism is removed from a triangular prism with a volume of 200 cubic units. The volume of the final figure is 180 cubic units. Therefore, the dimensions of the prism that was removed could be 2 by 2 by 5.

200 - 180 = 20

2 by 2 by 5 = 20

Darya [45]2 years ago
5 0

Answer:

  2 by 2 by 5

Step-by-step explanation:

The change in volume is 20 cubic units, so that must be the product of the dimensions of the cuboid removed.

a) 4×2×5 = 40 ≠ 20

b) 3×1×8 = 24 ≠ 20

c) 2×1×7 = 14 ≠ 20

d) 2×2×5 = 20 . . . . . this is the answer

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Using (i)

BE=\dfrac{BD}{2}\\\\2x+2=\dfrac{5x-3}{2}\\\\ 2(2x+2)=5x-3\\\\ 4x+4= 5x-3\\\\ 5x-4x=4+3\\\\ x= 7

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