Teresa S.
asked • 04/14/15A rectangular prism has a height of h cm. The area of its base is B cm2. How much does the volume of the prism increase when the height is increased by 1 cm.
A rectangular prism has a height of h cm. The area of its base is B cm2. How much does the volume of the prism increase when the height is increased by 1 cm.
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1 Expert Answer
Philip P. answered • 04/14/15
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The original volume, V1, of the prism is:
V1 = Bh
If we increase h by 1 cm, the new volume, V2, is:
V2 = B(h+1) = Bh + B = V1 + B
The difference between the two volumes is:
V2 - V1 = V1 + B - V1 = B cm3
The volume increases by B cm3.
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Teresa S.
04/14/15