Question

The area of three consecutive faces of cuboid are 12cm square,20cm square and 15cm square,then the volume of the cuboid is

Answer 1

Hey mate here is your solution........

Answer 2

Answer:

The volume of the cuboid is 60 centimeter cube.

Step-by-step explanation:

Given : The area of three consecutive faces of cuboid are 12cm square, 20cm square and 15cm square.

To find : The volume of the cuboid ?

Solution :

Let the dimensions of the cuboid,

Length = l

Breadth = b

Height = h

We have given,

$l\times b=15 \text{ cm}^2$  .....[1]

$b\times h=20 \text{ cm}^2$  .......[2]

$l\times h=12 \text{ cm}^2$ .......[3]

Volume of the cuboid is $V=lbh$

Multiply [1] , [2] and [3] we get,

$lb\times bh\times lh=(lbh)^2$

$15\times 20\times 12=(lbh)^2$

$3600=(lbh)^2$

$lbh=\sqrt{3600}$

$V=60\text{ cm}^3$

Therefore, The volume of the cuboid is 60 centimeter cube.