Use the right triangular prism shown to answer the following questions.

Mathematics

2 answers:

Tju [1.3M]2 years ago

6 0

Answer:

168cm is the right answer

Step-by-step explanation:

Evgesh-ka [11]2 years ago

5 0

C.168 is your answer

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a pyramid has a regular hexagonal base with side length of 4 and a slant height of 6. what is the total area of the pyramid

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So hmm notice the picture below

the pyramid itself, is really, just one regular hexagon, at the bottom
and 6 triangles, stacked up at each other at the edges

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$\bf \textit{area of a regular polygon}\\\\
A=\cfrac{1}{4}\cdot n\cdot s^2\cdot cot\left( \frac{180}{n} \right)\qquad 
\begin{cases}
n=\textit{number of sides}\\
s=\textit{length of a side}\\
\frac{180}{n}=\textit{angle in degrees}\\
----------\\
n=6\\
s=4
\end{cases}\\\\\\ A=\cfrac{1}{4}\cdot 6\cdot 4^2\cdot cot\left( \frac{180}{6} \right)$

now, for the triangles, well, area of a triangle is 1/2 bh, as you'd know, and you have both