Question

Find the height of a square pyramid with volume 37.3 ft3 and dimensions of base 4 ft by 4 ft. Please help!

Answer 1

`\bf \textit{volume of a square pyramid}\\\\ V=\cfrac{1}{3}Bh~~ \begin{cases} B=area~of\\ \qquad its~base\\ h=height\\ \cline{1-1} B=\stackrel{4* 4}{16}\\ V=37.3 \end{cases}\implies 37.3=\cfrac{1}{3}(16)h\implies 111.9=16h \\\\\\ \cfrac{111.9}{16}=h\implies 6.99375=h`

Answer 2

6.99

Explanation:

To find the height use the formula 3*V/b squared

So plug the numbers you have which is the base and volume

3*37.3/4 squared

Now solve:

4 squared = 16

3*37.3 = 111.9

111.9/16 = 6.99375

6.99375 can be rounded down to 6.99