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Can the volume of a prism ever be the same as its surface area?
Wiki User
∙ 13y ago
The can be numerically the same, but understand that area and volume are different physical quantities.
Let the dimensions of the prism be length = a, width = b, height = c
Area = 2ab + 2bc + 2ac = 2(ab+bc+ac)
Volume = abc
The numerical value of the area can equal that of the volume if and only if:
2(ab+bc+ac) = abc
(if a = b = c, the prism is a cube, and the numerical area will equal the numerical volume if and only if the edge of the cube is 6 units long and the area is measured in the square of those units and the volume is measured in the cube of those units)
Wiki User
∙ 13y ago
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