Question

the surface area of the six faces of a rectangular solid are 16,16,32,32,72,72 sq.cm . find the volume of solid .

Answer 1

Step-by-step explanation:

Volume of the cuboid = l*b*h cubic units

Let l, b and h be length, breadth and height of the rectangular solid respectively.

with loss of generality, we take

lb= 16 square cm.

bh= 32 square cm.

hl= 72 square cm.

Multiplying these we get

(lb)(bh)(hl)=(16)(32)(72)

(lbh)^2=16*16*2*2*36(lbh)

2

=16∗16∗2∗2∗36

lbh=\sqrt{16*16*2*2*36}lbh=

16∗16∗2∗2∗36

lbh=16*2*6lbh=16∗2∗6

lbh=192\:cm^3lbh=192cm