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A water tank is in the shape of a cuboid of dimensions 6 m × 5 m × 4 m. The capacity of the tank is
- a)120 L
- b)1200 L
- c)12000 L
- d)120000 L
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
A water tank is in the shape of a cuboid of dimensions 6 m × 5 m × 4 m...
Volume = 6×5×4 = 120 m3
1 m3 = 1000 L
So capacity = 120000 L
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Community Answer
A water tank is in the shape of a cuboid of dimensions 6 m × 5 m × 4 m...
Understanding the Water Tank Volume
To find the capacity of the water tank, we need to calculate the volume of the cuboid-shaped tank using its dimensions.
Tank Dimensions
- Length = 6 m
- Width = 5 m
- Height = 4 m
Volume Calculation
The formula for the volume of a cuboid is:
- Volume = Length × Width × Height
Substituting the values:
- Volume = 6 m × 5 m × 4 m
Performing the Calculation
- First, multiply the length and width:
- 6 m × 5 m = 30 m²
- Next, multiply this area by the height:
- 30 m² × 4 m = 120 m³
Converting Cubic Meters to Liters
Since the question asks for capacity in liters, we need to convert cubic meters to liters:
- 1 cubic meter = 1000 liters
Thus,
- 120 m³ × 1000 L/m³ = 120000 L
Final Answer
The total capacity of the tank is:
- 120000 liters
Therefore, the correct answer is option 'D', which confirms that the tank can hold 120000 liters of water.
To find the capacity of the water tank, we need to calculate the volume of the cuboid-shaped tank using its dimensions.
Tank Dimensions
- Length = 6 m
- Width = 5 m
- Height = 4 m
Volume Calculation
The formula for the volume of a cuboid is:
- Volume = Length × Width × Height
Substituting the values:
- Volume = 6 m × 5 m × 4 m
Performing the Calculation
- First, multiply the length and width:
- 6 m × 5 m = 30 m²
- Next, multiply this area by the height:
- 30 m² × 4 m = 120 m³
Converting Cubic Meters to Liters
Since the question asks for capacity in liters, we need to convert cubic meters to liters:
- 1 cubic meter = 1000 liters
Thus,
- 120 m³ × 1000 L/m³ = 120000 L
Final Answer
The total capacity of the tank is:
- 120000 liters
Therefore, the correct answer is option 'D', which confirms that the tank can hold 120000 liters of water.
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