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Question
a rectangular aquarium is 1.2 meters long, 0.5 meters wide, and 0.8 meters tall. the water level is only filled up to \\( \frac { 3 } { 4 } \\) of the aquariums height. how much water in cubic meters is currently in the aquarium? use the keypad to enter your answer in the box. volume of the water content: cubic meters
Step1: Calculate the height of the water
The height of the water is \(\frac{3}{4}\) of the aquarium's height. The aquarium's height is \(0.8\) meters. So the height of the water \(h=\frac{3}{4}\times0.8 = 0.6\) meters.
Step2: Calculate the volume of the water
The volume \(V\) of a rectangular prism (the shape of the water in the aquarium) is given by the formula \(V = l\times w\times h\), where \(l = 1.2\) meters (length), \(w=0.5\) meters (width), and \(h = 0.6\) meters (height of water).
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