A rectangular water tank is $[tex]1.5 m \times 1.4 m \times 2 m[/tex]$. How many litres of water does it hold when it is completely filled?
Answer (2)
Calculate the volume of the rectangular tank in cubic meters: V o l u m e = 1.5 m × 1.4 m × 2 m = 4.2 m 3 .
Convert the volume from cubic meters to litres using the conversion factor 1 m 3 = 1000 l i t res .
Multiply the volume in cubic meters by 1000 to obtain the volume in litres: V o l u m e in l i t res = 4.2 m 3 × 1000 = 4200 l i t res .
The rectangular water tank holds 4200 litres of water when completely filled.
Explanation
Problem Analysis The problem asks us to find the volume of a rectangular water tank in litres, given its dimensions in meters. We know the tank's length, width, and height, and we need to calculate the volume and convert it to litres.
Calculate Volume in Cubic Meters First, we calculate the volume of the rectangular tank in cubic meters using the formula: V o l u m e = L e n g t h × Wi d t h × He i g h t Given the dimensions 1.5 m , 1.4 m , and 2 m , we have: V o l u m e = 1.5 m × 1.4 m × 2 m = 4.2 m 3
Convert Volume to Litres Next, we convert the volume from cubic meters to litres. We know that: 1 m 3 = 1000 l i t res So, we multiply the volume in cubic meters by 1000 to get the volume in litres: V o l u m e in l i t res = 4.2 m 3 × 1000 m 3 l i t res = 4200 l i t res
Final Answer Therefore, the rectangular water tank holds 4200 litres of water when it is completely filled.
Examples
Understanding volume calculations is essential in many real-life situations. For example, when planning a garden, you need to calculate the volume of soil required for a flower bed. Similarly, in cooking, recipes often require converting between volume measurements like cups and litres. Knowing how to calculate volume helps in efficient planning and execution of various tasks, from home improvement projects to scientific experiments.
The rectangular water tank has a volume of 4.2 cubic meters. When converted to litres, this equals 4200 litres. Thus, the tank can hold 4200 litres of water when fully filled.
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