An open steel tank measures 2m by 2.5m by 3m.It holds 7500 ml of water. What is the volume of steel,in cubic metres,making up the sides of the tank ?
To find the volume of steel making up the sides of the tank, we need to find the total volume of the tank and then subtract the volume of water it can hold.
Step 1: Find the volume of the tank.
The tank's dimensions are given as 2m by 2.5m by 3m.
Volume = Length × Width × Height
Volume = 2m × 2.5m × 3m
Volume = 15 cubic meters
Step 2: Subtract the volume of water.
The tank holds 7500 ml of water.
1 cubic meter = 1000 liters
7500 ml = 7500/1000 = 7.5 liters = 0.0075 cubic meters
Volume of steel = Total volume - Volume of water
Volume of steel = 15 cubic meters - 0.0075 cubic meters
Volume of steel = 14.9925 cubic meters
Therefore, the volume of steel making up the sides of the tank is 14.9925 cubic meters.
To find the volume of steel making up the sides of the tank, we first need to calculate the total volume of the tank and then subtract the volume of water it holds.
1. Calculate the total volume of the tank:
The tank is in the shape of a rectangular prism, so we can use the formula: Volume = length × width × height.
Given values: length = 2m, width = 2.5m, height = 3m.
Volume = 2m × 2.5m × 3m = 15 cubic meters.
2. Calculate the volume of water it holds:
Given value: 7500 ml.
To convert milliliters to cubic meters, divide by 1000 (since there are 1000 milliliters in a liter, and 1000 liters in a cubic meter):
Volume of water = 7500 ml ÷ 1000 = 7.5 cubic meters.
3. Determine the volume of steel making up the sides of the tank:
Volume of steel = Total volume of the tank - Volume of water it holds.
Volume of steel = 15 cubic meters - 7.5 cubic meters = 7.5 cubic meters.
Therefore, the volume of steel making up the sides of the tank is 7.5 cubic meters.