Calculate the volume of rectangular prism shape with 3 m length,685 mm width, 40 cm height if it can hold maximum of 485 litre water in cm'3?

First, we need to convert all the measurements to the same unit.

3 m = 3000 mm
40 cm = 400 mm

Now, we can calculate the volume of the rectangular prism:

Volume = length x width x height
Volume = 3000 mm x 685 mm x 400 mm
Volume = 822000000 mm^3

Now, we need to convert the volume to litres:

1 litre = 1000 cm^3
485 litres = 485000 cm^3

Therefore, the rectangular prism can hold a maximum of 485 litres of water.

Step 1: Convert all dimensions to meters

- Length: 3 m
- Width: 685 mm = 0.685 m
- Height: 40 cm = 0.4 m

Step 2: Calculate the volume of the rectangular prism

Volume = Length × Width × Height
Volume = 3 m × 0.685 m × 0.4 m
Volume = 0.858 m³

Step 3: Compare the calculated volume with the maximum allowable capacity

Maximum allowable capacity = 485 liters
1 liter = 0.001 cubic meters
Maximum allowable capacity = 485 liters × 0.001 m³/liter
Maximum allowable capacity = 0.485 m³

Result:

The calculated volume of the rectangular prism (0.858 m³) is greater than the maximum allowable capacity of 0.485 m³. Therefore, the given dimensions cannot hold a maximum of 485 liters of water.