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This figure represents the base of an fish tank that is 6 inches high.


What is the volume of the fish tank?


390 in³


330 in³


270 in³


240 in³

This figure represents the base of an fish tank that is 6 inches high What is the volume of the fish tank 390 in³ 330

Answer :

The Volume of the fish tank is 240 in³.

The correct option is (D).

What is the volume of plane shapes?

The volume of a flat shape resembles a three-dimensional representation of the shape's boundary.

Given:

The figure can be differentiated into two shapes:

  • A rectangle
  • A triangle

The volume of the rectangle is known as:

[tex]=\text{ Length} \times \text{Breadth}[/tex]

[tex]= 7 \ \text{inches} \times5 \ \text{inches}[/tex]

[tex]= 35 \ \text{inches}^2[/tex]

The volume of the triangle is:

[tex]= \dfrac{1}{2} \times \text{base} \times \text{height}[/tex]

[tex]= \dfrac{1}{2} \times 2 \times 5[/tex]

[tex]= 5 \ \text{inches}^2[/tex]

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

[tex]= 35 \ \text{inches}^2 +5 \ \text{inches}^2[/tex]

[tex]= 40 \ \text{inches}^2[/tex]

Now, the volume of the fish tank is:

[tex]= \text{Height} \times \text{base of the fish tank}[/tex]

[tex]= 6 \ \text{inches} \times40 \ \text{inches}^2[/tex]

[tex]= 240 \ \text{in}^3[/tex]

Learn more about the volume here:

https://brainly.com/question/17727857

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