Question

A cuboidal vessel is 20 m long and 10 m wide. How high must it be made to hold 400 cubic metres of liquid?​

Answer 1

Answer:

Volume of cuboidal vessel = 400m^3 = l×b×h

400 = 20×10× h

400/20×10 = h

H = 2metres

Answer 2

GIVEN:

• Length of cuboidal vessel = 20m

• Breadth of cuboidal vessel = 10m

• Volume of cuboidal vessel = 400 m³

TO FIND:

• Height of cuboidal vessel = ?

SOLUTION:

We have given that, how high must it be made to hold about 400 cubic metres of liquid in the cuboidal vessel. It means we have to find the height of the cuboidal vessel. It is given through:

$\star \: {\boxed{\sf{\purple{Volume \: of \: cuboid = l \times b \times h}}}}$

Here we have;

• $\rm{Length \: (l) = 20m}$

• $\rm{breadth \: (b) = 10m}$

• $\rm{volume \: (v) = 400m}$

Substituting values,

$:\implies\tt{400 = 20 \times 10 \times h} \\ \\ :\implies\tt{400 = 200 \times h} \\ \\ :\implies\tt{h = \dfrac{\cancel{400}}{\cancel{200}}} \\ \\ :\implies{\boxed{\tt{\pink{h = 2} }}}\: \bigstar$

Thus,

• The cuboidal vessel should be made up of 2m to hold 400 cubic metres of liquid in it.