Question

A rectangular water tank is 8m high, 6m long and 2.5m wide. How many liters of water can it hold?

• A. 120
• B. 1200
• C. 12000
• D. 120000

Hint:

Capacity $= 6 \times 2.5 \times 8 = 120\text{ m}^3 = 120 \times 1000 = 120,000\text{ liters}$.

Answer 1

The Correct Option is D

Step 1: Understanding the Concept:
Volume of a rectangular cuboid is $V = L \times W \times H$, and $1\,\text{m}^3 = 1000\,\text{liters}$.

Step 2: Key Formula or Approach:
Dimensions of the tank:
Length $L = 6\,\text{m}$, Width $W = 2.5\,\text{m}$, Height $H = 8\,\text{m}$.
Volumetric capacity:
\[V = 6 \times 2.5 \times 8 = 15 \times 8 = 120\,\text{m}^3\]

Step 3: Detailed Explanation:
Converting cubic meters to liters ($1\,\text{m}^3 = 1000\,\text{L}$):
\[\text{Capacity in Liters} = 120 \times 1000 = 120,000\,\text{liters}\]

Step 4: Final Answer:
Hence, the water tank can hold 120000 liters.