Question

8. Find the capacity of a closed rectangular cistern whose length is 8 m.
breadth 6 m and depth 2.5 m. Also find the area of the iron sheet
required to make the cistern.​

Answer 1

Answer:

The dimension of the cistern are

Length =8m

Breadth =6m

Height =2.5m

We know that

Capacity of cistern= Volume of the cistern

Volume of cistern =1×b×h

By substituting the values  

Volume of the cistern =8×6×2.5

By multiplication

Volume of the cistern =120 cm  

3

 

We know that area of iron sheer required is equal to the total surface area of the cistern

So we get

Total surface area =2(lb+bh+lh)

Length =25 cm

By substituting the values

Total surface area =2(8×6+6×2.5+2.5×8)

On further calculation

Total surface area =2(48+15+20)

So we get

Total surface area =2×83=166 m  

2

 

Therefore, the capacity of the cistern is 120 m  

3

 and the area of the iron sheet required to make the cistern is 166m  

2

.