An open rectangular reservoir holds 13.125m³. The length is 3m and the breadth is 2.5m. What is the height of the reservoir?
We can use the formula for the volume of a rectangular prism:
V = l × w × h
where V is the volume, l is the length, w is the width, and h is the height.
We are given that V = 13.125 m³, l = 3 m, and w = 2.5 m. We can substitute these values into the formula and solve for h:
13.125 = 3 × 2.5 × h
13.125 = 7.5h
h = 1.75 m
Therefore, the height of the reservoir is 1.75 meters.
To find the height of the reservoir, we can use the formula:
Volume = Length × Breadth × Height
Given:
Volume = 13.125 m³
Length = 3 m
Breadth = 2.5 m
Substituting the given values into the formula, we have:
13.125 = 3 × 2.5 × Height
To find the height, we can isolate the variable by dividing both sides of the equation by (3 × 2.5):
13.125 ÷ (3 × 2.5) = Height
Simplifying the equation on the left side:
13.125 ÷ 7.5 = Height
Height ≈ 1.75 meters
Therefore, the height of the reservoir is approximately 1.75 meters.
To find the height of the rectangular reservoir, we can use the formula for the volume of a rectangular prism: Volume = length × breadth × height.
In this case, we have the following information:
- Volume = 13.125 m³
- Length = 3 m
- Breadth = 2.5 m
Let's use these values in the formula and solve for the height.
Volume = length × breadth × height
13.125 m³ = 3 m × 2.5 m × height
Next, we can rearrange the equation to solve for the height:
height = Volume / (length × breadth)
height = 13.125 m³ / (3 m × 2.5 m)
We can now calculate the value of height.
height = 13.125 m³ / (3 m × 2.5 m)
height = 13.125 m³ / 7.5 m²
height = 1.75 m
Therefore, the height of the reservoir is 1.75 meters.