Question

The areas of three adjacent faces of cuboid are 15,20,12cm^2,find volume of cuboid.

Answer 1

Hi there !!

Given,
length × breadth (lb) = 15cm²
breadth × height (bh) = 20cm²
Length × height (lh) = 12cm²

We know,
Volume of cuboid = length × breadth × height
or lbh


Here,

$lb \times bh \times lh \: = 15 \times 20 \times 12$


$l {}^{2} b {}^{2} h {}^{2} = 3600 {}^{}$
or

(lbh)² = 3600

or

$lbh = \sqrt{3600}$
lbh = 60cm³

or length × breadth × height = 60

Thus,
the volume is 60cm³

Answer 2

Hlo friend.. Cutiepie Here..

Here is ur answer :

Given,

Length × breadth = 15 cm²

lb = 15

Breadth × height = 20 cm²

bh = 20

Height × length = 12 cm²

hl = 12


Volume of cuboid = length × breadth × height.

= lbh
If we multiply all the areas of three adjacent faces of cuboid,

lb × bh × hl = 15 × 20 × 12

l² × b² × h² = 300 × 12

( lbh )² = 3600

lbh =
$\sqrt{3600}$

$= 60$


Therefore,

Volume of cuboid = lbh

= 60 cm³


HOPE IT HELPS YOU..