The problem asks us to calculate the volume of water in a cuboid container. The dimensions of the container are given in millimeters (mm). The height of the water is given as 450 mm, and the width and length are both 90 mm. We need to give the final answer in cubic centimeters (cm$^3$).

GeometryVolumeCuboidUnit Conversion
2025/3/10

1. Problem Description

The problem asks us to calculate the volume of water in a cuboid container. The dimensions of the container are given in millimeters (mm). The height of the water is given as 450 mm, and the width and length are both 90 mm. We need to give the final answer in cubic centimeters (cm3^3).

2. Solution Steps

First, we need to convert the given dimensions from millimeters to centimeters.
Since 1 cm = 10 mm, we can convert mm to cm by dividing by
1

0. Width = 90 mm = 90 / 10 = 9 cm

Length = 90 mm = 90 / 10 = 9 cm
Height = 450 mm = 450 / 10 = 45 cm
Now, we can calculate the volume of water in the cuboid.
The formula for the volume of a cuboid is:
Volume = width * length * height
In our case, width = 9 cm, length = 9 cm, and height = 45 cm.
Volume = 9 cm * 9 cm * 45 cm
Volume = 81 * 45
Volume = 3645 cm3^3

3. Final Answer

36453645

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