An aquarium is 50 cm long, 30 cm wide, and 20 cm high. How much water can it hold?

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Detailed Solution

The aquarium can hold 30 liters of water (when filled to the brim).

Step-by-Step Explanation

Understand the problem
The aquarium is a rectangular box (cuboid). To find the volume, we multiply its length × width × height. This gives the volume in cubic centimeters (cm³).
Calculate the volume
$\text{Volume} = 50 \, \text{cm} \times 30 \, \text{cm} \times 20 \, \text{cm}$ $Volume$ $=$ $50$ $cm$ $\times$ $30$ $cm$ $\times$ $20$ $cm$
First multiply step by step:
- $50 \times 30 = 1500$ $50$ $\times$ $30$ $=$ $1500$
- $1500 \times 20 = 30,000$ $1500$ $\times$ $20$ $=$ $30$ $,$ $000$
So, the volume = 30,000 cm³.
Convert cubic centimeters to liters
By definition, 1 liter = 1,000 cm³.
$\text{Water capacity} = \frac{30,000}{1,000} = 30 \, \text{liters}$ $Water capacity$ $=$ $1$ $,$ $00030$ $,$ $000$ $$ $=$ $30$ $liters$