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Nimfa-mama [501]
4 years ago
14

The base of a rectangular prism is a square. The height of the prism is half the length of one edge of the base. The volume of t

he rectangular prism is 13.5 cubic units. What are the dimensions of the prism?
Mathematics
1 answer:
ki77a [65]4 years ago
4 0

Answer:

The prism is 3 by 3 by 1.5.

Step-by-step explanation:

The prism has a length x and a width x. Since it is a square at the base both length and width are the same amount x. The height is "half the length of one edge of the base". Since the base is x, this makes it 1/2x.

The volume's prism is found using V = l*w*h. Substitute and simplify.

13.5 = x*x*1/2x

13.5 = 1/2 x^3

27 = x^3

3 = x

The prism is 3 by 3 by 1.5.

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