i want to find the capacity of a tank in litres which has height 30cm, base 16cm, lenght 17cm and has a thickness of 0.5cm
To find the capacity of a tank, we need to calculate the volume of the tank. The volume can be determined by multiplying the base area by the height.
1. Calculate the inner dimensions of the tank: Since the given dimensions include the thickness of the tank wall, we need to subtract twice the thickness from each dimension. The inner dimensions can be calculated as follows:
- Inner length = Length - 2 × Thickness
- Inner width = Base - 2 × Thickness
- Inner height = Height - Thickness
Substituting the given values:
- Inner length = 17cm - 2 × 0.5cm = 16cm
- Inner width = 16cm - 2 × 0.5cm = 15cm
- Inner height = 30cm - 0.5cm = 29.5cm
2. Calculate the volume of the tank: Multiply the inner length, width, and height to find the volume.
- Volume = Inner length × Inner width × Inner height
Substituting the calculated values:
- Volume = 16cm × 15cm × 29.5cm
3. Convert the volume to liters: Since the result will be in cubic centimeters (cm³), we need to convert it to liters by dividing by 1000.
- Capacity (in liters) = Volume (in cm³) ÷ 1000
Substituting the calculated volume value:
- Capacity (in liters) = (16cm × 15cm × 29.5cm) ÷ 1000 = [calculate]
Performing the calculations, the capacity of the tank in liters can be found by substituting the values and evaluating the expression.