The external length, width and height of an own rectangular container are 41 cm, 21 cm and 15.5 cm respectively. The thickness of the materials making the container is 5 mm. If the container has 8 litres of water, calculate the internal height above the above the water level.
internal base area ... 40 cm * 20 cm
8 L = 8000 cm^3
divide water volume by base area to find water height
It's quite hard
To find the internal height above the water level, we first need to calculate the volume of the container.
The external dimensions of the container are given as length, width, and height, with thickness. We need to subtract the thickness from each dimension to find the internal dimensions.
Internal length = External length - 2 * thickness
Internal width = External width - 2 * thickness
Internal height = External height - thickness
Given:
External length = 41 cm
External width = 21 cm
External height = 15.5 cm
Thickness = 5 mm
Converting thickness from mm to cm:
Thickness = 5 mm / 10 = 0.5 cm
Substituting the values:
Internal length = 41 cm - 2 * 0.5 cm = 40 cm
Internal width = 21 cm - 2 * 0.5 cm = 20 cm
Internal height = 15.5 cm - 0.5 cm = 15 cm
Now, we can calculate the volume of the container, including the water.
Given:
Volume of water = 8 litres
Converting volume from litres to cm^3:
1 litre = 1000 cm^3
Volume = 8 litres * 1000 cm^3/litre = 8000 cm^3
The volume of the container is equal to the volume of the internal dimensions:
Volume of container = Internal length * Internal width * Internal height
Substituting the values:
8000 cm^3 = 40 cm * 20 cm * Internal height
To find the internal height, we can rearrange the equation:
Internal height = 8000 cm^3 / (40 cm * 20 cm)
Calculating:
Internal height = 8000 cm^3 / (800 cm^2)
Internal height = 10 cm
Therefore, the internal height above the water level is 10 cm.