We are given a rectangular tank with length 250 cm and width 120 cm. We pour 180 liters of water into the tank. We need to calculate the height of the water in the tank in cm.

GeometryVolumeRectangular PrismUnit Conversion
2025/4/29

1. Problem Description

We are given a rectangular tank with length 250 cm and width 120 cm. We pour 180 liters of water into the tank. We need to calculate the height of the water in the tank in cm.

2. Solution Steps

First, we need to convert the volume of water from liters to cubic centimeters. We know that 1 liter = 1000 cubic centimeters.
180 liters=180×1000 cm3=180000 cm3180 \text{ liters} = 180 \times 1000 \text{ cm}^3 = 180000 \text{ cm}^3
Next, we know that the volume of a rectangular prism (which the water will form) is given by:
V=l×w×hV = l \times w \times h
where VV is the volume, ll is the length, ww is the width, and hh is the height.
We are given the length l=250l = 250 cm, the width w=120w = 120 cm, and the volume V=180000V = 180000 cm3^3. We need to find the height hh.
180000=250×120×h180000 = 250 \times 120 \times h
180000=30000×h180000 = 30000 \times h
h=18000030000h = \frac{180000}{30000}
h=6h = 6
Therefore, the height of the water in the tank is 6 cm.

3. Final Answer

A. 6.0cm

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