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;
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
<h2>
d ≈ 19.1 cm</h2>
<em>Using the formulas</em>
<em>C = 2πr</em>
<em>d = 2r</em>
<em>Solving for 'd' (diameter)</em>
<em>d = C</em>
<em>π = 60</em>
<em>π ≈ 19.09859cm</em>
<em />
Answer:
Step-by-step explanation:
2x² + 5x + 3 = (x + 1) (2x + 3)
x² + 2x + 1 = (x + 1) (x + 1)
(x + 1) cancels out because there is one in the denominator and the numerator, leaving you with the answer.
Hope this helps!
Yes, because the sum of any 2 sides of the triangle is greater than the value of the third side.
