Find the VOLUME of the triangular prism.

Mathematics

1 answer:

madam [21]2 years ago

5 0

The volume of the triangular prism is 5√3 cubic units if the height of the triangular prism is √3 units. Option (B) is correct.

<h3>What is volume?</h3>

It is defined as a three-dimensional space enclosed by an object or thing.

We have a triangular prism shown in the picture with dimensions.

As we know, the volume of the triangular prism is given by:

V = bhl/2

h = √[2²- (2/2)²]

h = √(4-1)

h = √3 units

V = (2×√3×5)/2

V = 5√3 cubic units

Thus, the volume of the triangular prism is 5√3 cubic units if the height of the triangular prism is √3 units. Option (B) is correct.

Learn more about the volume here:

brainly.com/question/16788902

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olganol [36]

Vertex is at $\left(-3,-6\right)$

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The parabola opens up.

Step-by-step explanation:

The graph of the equation is hereby attached in the answer area.

Vertex is the point on the parabola where the graph crosses its axis of symmetry. The axis of symmetry here( $x =-3$ ), is shown with the dotted line in the graph attached.

y-intercept is defined as the value of y where the graph crosses the y-axis. In other words, when $x=0$ . Putting

And, the graph opens up as shown the graph figure as well. It is also evident from the co-efficient of $x$ in the given equation $y =x^{2} + 6x + 3$ . Here, co-efficient of