Question

25. A tank is in the form of a cuboid. It holds a
maximum of 540 m’ water. If the tank is 8 m
long and 15 m wide, then how many metres
2
decp must the water be when the tank is – full?
3
(b) 4.5
(d) 3
(a) 2
(c) 2.5​

Answer 1

Step-by-step explanation:

Given : A tank is in the form of a cuboid. It holds a maximum of 540 m³ water. If the tank is 8 m long and 15 m wide.

To find : How many meters deep must the water be when the tank ?

Solution :

The volume of the tank is given by,

\text{Volume}=\text{Length}\times \text{Breadth}\times \text{Height}Volume=Length×Breadth×Height

The volume is 540 m³.

The length is 8 m.

The breadth is 15 m.

Substitute the value,

540=8\times 15\times \text{Height}540=8×15×Height

\text{Height}=\frac{540}{8\times 15}Height=

8×15

540

\text{Height}=4.5Height=4.5

Therefore, 4.5 meters deep must the water be when the tank.