The front, side, and bottom faces of a rectangular solid have areas of 24 square centimeters, 8 square centimeters, and 3 square centimeters, respectively. What is the volume of the solid, in cubic centimeters?

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Answer 1 · 2018-07-18T14:01:31

#color(magenta)( V = l b h = 24 cm^3#

Let l, b, h be the three sides of the cuboid.

Given #l * b = 24 cm^2#

#b * h = 8 cm^2#

#h * l = 3 cm^2#

#l b * b h * h l = (lbh)^2 = 24 * 8 * 3 = 576#

# l b h = sqrt 576 = 24#

Volume of cuboid #V = l * b * h#

#:. color(magenta)( V = l b h = 24 cm^3#