The surface area of 6 faces of a rectangle is 16,16,32,32,72and 72 square centimeters the volume of the solid in cubic centimeters is
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Sides of Rectangular solid are L , B & H
LB = 16
LH = 32
BH = 72
= LH/LB = 32/16
= H/B = 2
= H = 2B
B (2B) = 72
= B² = 36
= B = 6
BH = 72
= 6H = 72
= H = 12
LB = 16
= L = 16/6 = 8/3
Volume = LBH = (8/3) x 6 x 12 = 192 cm³
or = LB x BH x LH = 16 x 32 x 72
=> (LBH)² = 16 * 16 * 2 * 2 * 36
Square rooting both side
=> LBH = 16 * 2 * 6
=> Volume = 192 cm³
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