Question

A cubical vessel is 10m long and 8m wide .how high must it be made to hold 380 cubic meter of a liquid​

Answer 1

Correct Question :

A cuboidal vessel is 10m long and 8m wide. How high must it be made to hold 380 cubic meter of a liquid​?

Answer : 4.75 m

$\rule{100}2$

Step - by - step Explanation :

It is given that length of the cuboidal vessel is 10 m, breadth is 8 m & it has the capacity to hold 380 m³ of liquid, i.e it's volume is 380 m³. We have to find it's height.

We know that,

$\sf 10\times 8\times height = 380$

$\sf\implies h=\dfrac{380}{10\times 8}$

$\sf\therefore h = 4.75\:m$

Hence,

Height of the given cuboidal vessel is 4.75 m.

$\rule{200}2$

Answer 2

$\mathtt{ \huge{ \fbox{Solution :)}}}$

$\sf Given \begin{cases} \sf (i) \: Length \: of \: cuboid =10 \: m \\ </p><p> \sf (ii) \: Breadth \: of \: cuboid = 8 \: m</p><p> \\ \sf (iii) \: Volume \: of \: cuboid =380 \: {m}^{ 3} \end{cases}$

We know that , the volume of cuboid is given by

$\large \mathtt{ \fbox{Volume = l \times b \times h}}$

Substitute the known values , we get

380 = 10 × 8 × h

h = 380/80

h = 4.75 m

Hence , the hight of cuboid is 4.75 m

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