Question

[Pic of triangle] Find the volume of the pyramid. Write your answer as a fraction or mixed number.

Solid Geometry
ANSWERED
asked 2020-10-26
[Pic of triangle] Find the volume of the pyramid. Write your answer as a fraction or mixed number.

Answers (1)

2020-10-27
The volume of a pyramid is \(\displaystyle{V}={\frac{{{1}}}{{{3}}}}{B}{h}\) where B is the area of the base and hh is the height of the pyramid.
From the figure, the base of the pyramid is a rectangle with a length of l=2 ft and a width of w=1 ft. The area of the base is then B=lw=2(1)=2.
From the figure, the height of the pyramid is h=2 ft. The volume is then \(\displaystyle{V}={\frac{{{1}}}{{{3}}}}{B}{h}={\frac{{{1}}}{{{3}}}}{\left({2}\right)}{\left({2}\right)}={\frac{{{4}}}{{{3}}}}={1}{\frac{{{1}}}{{{3}}}}{f}{t}^{{{3}}}\)
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