Question

3. A cuboidal vessel is 10 m long and 8 m wide. How high
must it be made to hold 380 cubic metres of a liquid?
(full explanation)​

Answer 1

Question :-

  ⇒ A cuboidal vessel is 10 m long and 8 m wide. How high

      must it be made to hold 380 cubic metres of a liquid?

Given :-

 

  → length = 10 m

  → Breadth = 8 m

  → Volume = 380 m³

To Find :-

  → Height of the cuboidal vessel

Solution :-

  → As we know that volume of a cuboid

        = length × breadth × height

  → Let the height be $x$ m

  → 380 m³ = 10 m × 8 m × $x$ m

  → 380 = 80$x$

   

  →  $x = \frac{380}{80} = 4.75$

$\huge{\orange{\boxed{\boxed {\boxed{\purple{\underline{\underline{\red{\mathfrak{ Height \: = \: 4.75 m  }}}}}}}}}}$