Find the area $A$ of a triangular prism if length $l = 15 cm$ and height $h = 20 cm$ .

Answer

$\frac{2600 3}{3} cm^{2}$

Explanation

STEP 1: find side $a$

To find side $a$ use formula:

h = \frac{3 \cdot a}{2}

After substituting $h = 20 cm$ we have:

20 cm = \frac{3 \cdot a}{2}

3 \cdot a = 20 cm \cdot 2

3 \cdot a = 40 cm

a = \frac{40 cm}{3}

a = \frac{40 3}{3} cm

STEP 2: find area $A$

To find area $A$ use formula:

A = \frac{a ^{2} 3}{2} + 3 a l

After substituting $a = \frac{40 3}{3} cm$ and $l = 15 cm$ we have:

A = \frac{\frac{40 3}{3} cm ^{2} 3}{2} + 3 \cdot \frac{40 3}{3} cm \cdot 15 cm

A = \frac{\frac{1600}{3} cm ^{2} 3}{2} + 3 \cdot 2003 cm^{2}

A = \frac{\frac{1600 3}{3} cm ^{2}}{2} + 6003 cm^{2}

A = \frac{800 3}{3} cm^{2} + 6003 cm^{2}

A = \frac{2600 3}{3} cm^{2}

This page was created using

Triangular Prism 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 area A of a triangular prism if length l=15cm and height h=20cm.

326003​​cm2

Find the area $A$ of a triangular prism if length $l = 15 cm$ and height $h = 20 cm$ .

$\frac{2600 3}{3} cm^{2}$