Question

Find the area of the metal sheet to make an open tank of length 10m, breadth 7.5m and depth 3.8m

Answer 1

Hint: We will diagramise the question first so that it will help us to get the idea of calculating the dimensions. Here we should find the areas because we need to find the metal sheet required to make the tank that is building the walls of the tank. So the area of the sides and the area of the bottom.

Complete step by step solution:
Given that, a tank of length 10m, breadth 7.5m and depth 3.8m.
The tank will look something like this,

Now only the top of the tank is open so we will not calculate the area of the top surface.
Thus the metal sheet required will be,
\[ = 2bh + 2lh + lb\]
Putting the values we get,
\[ = 2 \times 7.5 \times 3.8 + 2 \times 10 \times 3.8 + 10 \times 7.5\]
Calculating,
\[ = 57 + 76 + 75\]
On adding we get,
\[ = 208{m^2}\]
This is the metal sheet required.
So, the correct answer is “\[ 208{m^2}\]”.

Note: Note that the upper surface of the tank is open so don’t calculate the area of the upper face. We have taken only the opposite faces and the base of the tank. Also note that the metal sheet required is nothing but the cover-like structure. So, don’t forget to write the unit also.