Question

Find the volume of the pyramid. Write your answer as a fraction or mixed number.

Answer 1

Check the picture below.

let's notice that the base of the pyramid is triangle with a base of 5 and an altitude of 4, so it has an area of (1/2)(5)(4).

$\bf \textit{volume of a pyramid}\\\\ V=\cfrac{1}{3}Bh~~ \begin{cases} B=\stackrel{\textit{area of its}}{base}\\ h=height\\[-0.5em] \hrulefill\\ B=\frac{1}{2}(5)(4)\\ h=8 \end{cases}\implies V=\cfrac{1}{3}\left( \cfrac{1}{2}(5)(4) \right)(8)\implies V=\cfrac{1}{3}(10)(8) \\\\\\ V=\cfrac{80}{3}\implies V=26\frac{2}{3}$

Answer 2

The volume of the given pyramid is 262/3yd^3.

We have given that,

The pyramid is a triangle with a base of 5 and an altitude of 4

What is the formula of the pyramid?

$V=\frac{1}{3}BH$

B=area of its base

h=height

$\ Area\ of \ the \ base=1/2(5)(4)=10$

height=8yd,

Use the given values in the formula of the pyramid

$V=\frac{1}{3}(10)(5)$

$V=\frac{80}{3} \\V=26\frac{2}{3}$

Therefore the volume of the given pyramid is 262/3yd^3.

To learn more about the pyramid visit:

https://brainly.com/question/218706

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