Question

The areas of three adjacent faces of a cuboid are 180 cm sq., 96 cm sq. and 120cm sq. what is
the volume of cuboid ?

​

Answer 1

Answer:

Let length of cuboid = l

Breadth of cuboid = b

Height of cuboid = h

According to statement

lb = 180

bh = 96

hl = 120

if we multiply above three equations we get

${l}^{2} {b}^{2} {h}^{2} = 180 \times 96 \times 120 \\ {(lbh)}^{2} = 2073600 \\ {v}^{2} = 2073600 \\ v = \sqrt{2073600} \\ v = \sqrt{1440 \times 1440} \\ v \: = 1440 {cm}^{3}$

Answer 2

Answer:

2073600cm.sq

$volume of cuboid = length \times breadth \times height$

by the formula answer is 2073600 cm.sq