Question

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

Answer 1

Height of cubical vessel is 4.75 m

Step-by-step explanation:

• Given data about cubical vessel

        Length of cubical vessel (L) = 10 m

        Breadth of cubical vessel (B) = 8 m

        Height of cubical vessel = H   (Unknown)

        Volume of cubical vessel (V)$\mathbf{=380 \ m^{3}}$

• From formula of volume of cubical

        Volume of cubical vessel = Length ×Breadth ×Height

• Volume of cubical vessel (V)$\mathbf{=380 \ m^{3}}$

        Length ×Breadth ×Height $\mathbf{=380 \ m^{3}}$

        10 ×8 ×H $\mathbf{=380 \ m^{3}}$

         So

         $\mathbf{H=\frac{380}{10\times 8}}$

         H = 4.75 metre

Answer 2

Answer:

The height of cubic vessel is 4.75 meters

Step-by-step explanation:

Given as :

The length of cubic vessel = L = 10 meters

The width of cubic vessel = W = 8 meters

Let The height of cubic vessel = H meters

The volume of cubic vessel = V = 380 cubic meters

According to question

∵ Liquid is poured into vessel of volume 380 cubic meters

Now,

volume of cubic vessel = Length × width × height

i.e V = L × W × H

Or, 380 cm³  = 10 m × 8 m × H

Or, 380 cm³  = 80 m² × H

∴   H = $\dfrac{380}{80}$

i.e Height = H = 4.75 m

So, The height of cubic vessel = H = 4.75 meters

Hence, The height of cubic vessel is 4.75 meters Answer