Question

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

Answer 1

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.

What is the volume of plane shapes?

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:

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