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Vesnalui [34]
2 years ago
5

The base of a triangular prism has an area of 18 square inches . If the height of the prism is 4.5 inches then what is the volum

e for the prism?
Mathematics
1 answer:
Nady [450]2 years ago
7 0

Answer:

The volume for the triangular prism is 40.5 cubic inches.

Step-by-step explanation:

Given:

The base of a triangular prism has an area of 18 square inches .  

And the height is 4.5 inches.

Now, to get the triangular prism volume.

The base area = 18 square inches.

Height = 4.5 inches.

Now, to get the volume of prism we put formula:

Volume=\frac{1}{2} \times base\ area\times height\\\\Volume=\frac{1}{2} \times 18\times 4.5\\\\Volume=40.5\ cubic\ inches.

Therefore, the volume for the triangular prism is 40.5 cubic inches.

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Find the perimeter of the following isosceles triangle. show work
julsineya [31]

Answer

Find out the perimeter of the isosceles triangle.

To prove

As shown in the figure.

P(0,4) , Q(-2,0) and R(2,0) are the vertices of the triangle PQR.

Formula

Distance\ formula = \sqrt{(x_{2} - x_{1})^{2} +(y_{2} -y_{1})^{2}}

As P(0,4) and Q(-2,0)

PQ = \sqrt{(-2 - 0)^{2} +(0 - 4)^{2}}

PQ = \sqrt{4+16}  

PQ = \sqrt{20}\unit

In the isoceles triangle the two sides of the triangles are equal .

Therefore PQ = PR

PR = \sqrt{20}\unit

As Q(-2,0) and R(2,0)

QR = \sqrt{(2- (-2))^{2} +(0 - 0)^{2}}

QR = \sqrt{(4)^{2}}

QR = 16 unit

Perimeter\ of\ triangle PQR = \sqrt{20} +\sqrt{20} + 16

Perimeter\ of\ triangle PQR = 4\sqrt{5} + 16\ units^{2}


3 0
3 years ago
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GREYUIT [131]
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7 0
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How many ways are there to elect a president, vice-president, and a treasurer from a club of 8 students?
Klio2033 [76]
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Answer:

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