Question

tdiary of three consecutive faces of cuboid are 12 square and 20 cm square and 15 centimetre squre .volume of the cuboid in centimetre cube​

Answer 1

Step-by-step explanation:

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}^2l×b=15 cm

2

.....[1]

b\times h=20 \text{ cm}^2b×h=20 cm

2

.......[2]

l\times h=12 \text{ cm}^2l×h=12 cm

2

.......[3]

Volume of the cuboid is V=lbhV=lbh

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

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

2

15\times 20\times 12=(lbh)^215×20×12=(lbh)

2

3600=(lbh)^23600=(lbh)

2

lbh=\sqrt{3600}lbh=

3600

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

3

Therefore, The volume of the cuboid is 60 centimeter cube