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zhenek [66]
3 years ago
8

Matherson made a wooden triangular pencil holder with an opening at the top. It has a height of 5 inches with the base being an

equilateral triangle with sides of 3.5 inches. If the height of the triangle is 4 inches, how much surface area is needed to be painted?
Urgent PLS
Mathematics
1 answer:
qwelly [4]3 years ago
4 0

Answer:

Step-by-step explanation:

2.5 surface area

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Using V = lwh, what is an expression for the volume of the following prism? The dimensions of a prism are shown. The height is S
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<h2>Explanation:</h2><h2></h2>

We know that the volume of a prism is defined by:

V=lwh \\ \\ \\ Where: \\ \\ l:length \\ \\ w:width \\ \\ h:height \\ \\ \\ l=\frac{d-2}{3d-9} \\ \\ w=\frac{4}{d-4} \\ \\ h=\frac{2d-6}{2d-4}

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V=\left(\frac{d-2}{3d-9}\right)\left(\frac{4}{d-4}\right)\left(\frac{2d-6}{2d-4}\right) \\ \\ \\ Simplifying: \\ \\ V=\frac{d-2}{3d-9}\cdot \frac{4}{d-4}\cdot \frac{d-3}{d-2} \\ \\ V=\frac{\left(d-2\right)\cdot \:4\left(d-3\right)}{\left(3d-9\right)\left(d-4\right)\left(d-2\right)} \\ \\ V=\frac{4\left(d-3\right)}{\left(3d-9\right)\left(d-4\right)} \\ \\ V=\frac{4\left(d-3\right)}{3\left(d-3\right)\left(d-4\right)}

Finally: \\ \\  \boxed{V=\frac{4}{3\left(d-4\right)}}

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