A rectangular prism has a volume of 900 cubic units. The prism has a length of 25 units and a width of 12 units. Which equation could be used to find h, the height of the prism?ResponsesA 150h = 900150 h = 900B 300h = 900300 h = 900C 18.5h = 90018.5 h = 900D 37h = 900
Question
A rectangular prism has a volume of 900 cubic units. The prism has a length of 25 units and a width of 12 units. Which equation could be used to find h, the height of the prism?ResponsesA 150h = 900150 h = 900B 300h = 900300 h = 900C 18.5h = 90018.5 h = 900D 37h = 900
Solution
The volume of a rectangular prism is given by the formula V = lwh, where l is the length, w is the width, and h is the height.
Given that V = 900 cubic units, l = 25 units, and w = 12 units, we can substitute these values into the formula to find the equation for h:
900 = 25 * 12 * h
Simplifying the right side of the equation gives:
900 = 300h
So, the correct answer is B: 300h = 900.
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