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How many litres of water can be stored i...

How many litres of water can be stored in a tank of Im length, 1/2 m breadth, and 1/2 m tall?
A. 25,000
B. 250
C. 25
D. 2,500

A

C

B

D

C

b

D

A

Text Solution

AI Generated Solution

The correct Answer is:
To find out how many liters of water can be stored in a tank with given dimensions, we will follow these steps: ### Step 1: Identify the dimensions of the tank - Length (L) = 1 meter - Breadth (B) = 1/2 meter - Height (H) = 1/2 meter ### Step 2: Calculate the volume of the tank The formula for the volume (V) of a cuboid is: \[ V = L \times B \times H \] Substituting the values: \[ V = 1 \, \text{m} \times \frac{1}{2} \, \text{m} \times \frac{1}{2} \, \text{m} \] ### Step 3: Perform the multiplication Calculating the volume: \[ V = 1 \times \frac{1}{2} \times \frac{1}{2} = \frac{1}{4} \, \text{m}^3 \] ### Step 4: Convert cubic meters to liters We know that: \[ 1 \, \text{m}^3 = 1000 \, \text{liters} \] So, to convert \(\frac{1}{4} \, \text{m}^3\) to liters: \[ \text{Volume in liters} = \frac{1}{4} \times 1000 = 250 \, \text{liters} \] ### Conclusion The tank can store **250 liters** of water.
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