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]
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