larie63
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An aquarium has a base in the shape of a trapezoid. The base is 100
cm long at the front, 50 cm long at the back, and 40 cm wide (from
front to back). The height is 70 cm. What is the volume of the
aquarium in litres?

Respuesta :

MrRoyal

Answer:

[tex]Volume = 210L[/tex]

Step-by-step explanation:

Given

Base:

[tex]Front = 100cm[/tex]

[tex]Back = 50cm[/tex]

[tex]Width = 40cm[/tex]

[tex]Height = 70cm[/tex]

Required

Determine the volume (in litres)

First, we need to calculate the area;

Base on the parameters given, we have:

[tex]Area = \frac{1}{2}(Front + Back) * Width[/tex]

[tex]Area = \frac{1}{2}(100cm + 50cm) * 40cm[/tex]

[tex]Area = \frac{1}{2}(150cm) * 40cm[/tex]

[tex]Area = 75cm * 40cm[/tex]

[tex]Area = 3000cm^2[/tex]

[tex]Volume = Area * Height[/tex]

[tex]Volume = 3000cm^2 * 70cm[/tex]

[tex]Volume = 210000cm^3[/tex]

[tex]1cm^3 = 0.001L[/tex]

So:

[tex]Volume = 210000 * 0.001L[/tex]

[tex]Volume = 210L[/tex]

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