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2 years ago

This figure represents the base of a fish tank that is 8 inches high.

Mathematics

1 answer:

Igoryamba2 years ago

7 0

The volume of the fish tank is 408 in³

To solve the volume of the fish tank, we need to understand what is the volume of plane shapes.

<h3>What is the volume of plane shapes?</h3>

The volume of plane shapes resembles a 3-dimensional space showing the area enclosed by the shape.

From the figure given:

The figure can be differentiated into two shapes;

A rectangle
A triangle

The volume of the rectangle is known as:

= Length × Breadth
= 7 inches × 6 inches
= 42 inches²

The volume of the triangle is:

= 1/2 × base × height
= 1/2 × 3 × 6
= 9 inches²

The total volume of the base of the fish tank now is:

= 42 inches² + 9 inches²
= 51 inches²

Now, the volume of the fish tank is:

= Height × base of the fish tank
= 8 inches × 51 inches²
= 408 in³

Learn more about the volume of plane shapes here:

brainly.com/question/20475473

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