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The volume of this triangular prism is 120 cubic meters. What is the value of y? Please help!!

The volume of this triangular prism is 120 cubic meters. What is the value of y? Please-example-1

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Answer: y = 6

The triangle has a base of y and a height of 5. The area of the triangle is

area = (1/2)*base*height = 0.5*y*5 = 2.5y

which multiplies with the prism's depth 8 to get 2.5y*8 = 20y

The expression 20y represents the volume of the prism, which we are told is 120 cubic meters, so 20y = 120 solves to y = 6 after dividing both sides by 20.

User Matt Harrison
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