Find the slant height $s$ of a pyramid if side $a = 4 cm$ and height $h = 4 cm$ .

Answer

$25 cm$

Explanation

To find slant height $s$ use Pythagorean Theorem:

h^{2} + \frac{a ^{2}}{4} = s^{2}

After substituting $h = 4 cm$ and $a = 4 cm$ we have:

(4 cm)^{2} + \frac{( 4 cm ) ^{2}}{4} = s^{2}

16 cm^{2} + \frac{16 cm ^{2}}{4} = s^{2}

16 cm^{2} + 4 cm^{2} = s^{2}

s^{2} = 20 cm^{2}

s = 20 cm^{2}

s = 25 cm

This page was created using

Pyramid Calculator

About the Author

Welcome to MathPortal. This website's owner is mathematician Miloš Petrović. I designed this website and wrote all the calculators, lessons, and formulas.

If you want to contact me, probably have some questions, write me using the contact form or email me on mathhelp@mathportal.org.

Send Me A Comment

Main Navigation

Online Math Calculators

Find the slant height s of a pyramid if side a=4cm and height h=4cm.

25​cm

Find the slant height $s$ of a pyramid if side $a = 4 cm$ and height $h = 4 cm$ .

$25 cm$