Answer:
The volume of the aquarium is 195 litres.
Step-by-step explanation:
The volume ([tex]V[/tex]), measured in cubic centimetres, of the aquarium is equal to the area of the base multiplied by the height. That is:
[tex]V = \frac{1}{2}\cdot (L+l)\cdot w\cdot h[/tex] (1)
Where:
[tex]L[/tex] - Long leg length of the aquarium, measured in centimetres.
[tex]l[/tex] - Short leg length of the aquarium, measured in centimetres.
[tex]w[/tex] - Width of the aquarium, measured in centimetres.
[tex]h[/tex] - Height of the aquarium, measured in centimetres.
If we know that [tex]L = 80\,cm[/tex], [tex]l = 50\,cm[/tex], [tex]w = 30\,cm[/tex] and [tex]h = 100\,cm[/tex], then the volume of the aquarium is:
[tex]V = \frac{1}{2}\cdot (80\,cm+50\,cm)\cdot (30\,cm)\cdot (100\,cm)[/tex]
[tex]V = 195000\,cm^{3}[/tex]
If we know that a litre equals 195000 cubic centimetres, then the volume of the aquarium is:
[tex]V = 195000\,cm^{3}\times \frac{1\,L}{1000\,cm^{3}}[/tex]
[tex]V = 195\,L[/tex]
The volume of the aquarium is 195 litres.
