Question

The volume of cuboid is 972m³.If its length and breadth be 16m and 13.5m respectively,find its height​

Answer 1

Answer:

The height of cuboid is 4.5m

I hoe it is helpful

Answer 2

Answer:

Height of the cuboid = 4.5 m

Step-by-step explanation:

Given :

Volume = 972 m³

Length = 16 m

Breadth = 13.5 m

To find :

The height

Taken :

Let the height be x

To find the height of the cuboid use this formula -:

$\boxed{\tt{V=L\:\times\:B\:\times\:H}}$

Where,

V = Volume

L = Length

B = Breadth

H = Height

Solution :

$\leadsto\tt{{972m}^{3}=16m\times13.5m\times\:x}$

$\leadsto\tt{\dfrac{\cancel{{972m}^{3}}}{16m\times\cancel{13.5m}}=x}$

$\leadsto\tt{\dfrac{\cancel{72}}{\cancel{16m}}=x}$

$\leadsto\tt{4.5m=x}$

So , the height of the cuboid is 4.5m .

Verification :

To verify the answer use the formula to find the volume if the answer will come 972m³ . The answer will get verified.

$\leadsto\tt{Volume=16m\times13.5m\times4.5m}$

$\leadsto\tt{Volume=216m\times4.5m}$

$\leadsto\tt{Volume={972m}^{3}}$

Hence , verified ...