Question

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

Answer 1

Answer:

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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