SOLUTION: A right prism with a square base has a height of 8cm and a volume of 128cm^3. Find the length of each edge of the base.
volume = area of base x height
128cm^3= ? x 8
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Volume
-> SOLUTION: A right prism with a square base has a height of 8cm and a volume of 128cm^3. Find the length of each edge of the base.
volume = area of base x height
128cm^3= ? x 8
=
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Question 957487: A right prism with a square base has a height of 8cm and a volume of 128cm^3. Find the length of each edge of the base.
volume = area of base x height
128cm^3= ? x 8
= 16 cm x 8
I found 16 cm by trial and error. what is the correct method to derive at this answer if it is correct. Answer by Edwin McCravy(20056) (Show Source):
V = (area of base)(h)
Since the base is a square its area is s², and each side
of the square base will be an edge of the base of the
right prism.
V = s²h
128 = s²(8)
Divide both sides by 8
16 = s²
Take square roots of both sides
√16 = √s²
4 = s
Answer = each edge of the base of the right prism is 4 cm
Edwin
