# Pyramid (Volume, Surface Area & Lateral Surface) Calculator

getcalc.com's **pyramid calculator** is an online geometry tool to calculate volume, surface area & lateral surface of a rectangular pyramid shape, in both US customary & metric (SI) units.

## Steps to Find Volume, Surface Area & Lateral Surface Area of a Pyramid

The step by step workout for how to find what is the volume, surface area & lateral surface area of a pyramid.__Workout :__

step 1 Address the formula input parmaeter & values

Length = 5 in

Height = 3 in

Width = 4 in

step 2 Find Pyramid Volume using length, height and width values

Volume V = lwh/3

=5 x 4 x 3/3in³

= 60/3in³

Volume v = 20 in³

step 3 Find Surface Area using length, height and width values

Surface Area = lw + l √(w/2)² + h² + w √(l/2)² + h²

= (5 x 4) + 5 √(4/2)² + 3² + 4 √(5/2)² + 3² in²

= 20 + 5 √(2)² + 3² + 4 √(2.5)² + 3² in²

= 20 + 5 √(4) + 9 + 4 √(6.25) + 9 in²

= 20 + 5 √13 + 4 √15.25 in²

= 20 + (5 x 3.6056) + (4 x 3.9051) in²

= 25 + 18.0278 + 15.6205 in²

Surface Area = 53.6483 in²

step 4 Find Lateral Area using length, height and width values

Lateral Area = l √(w/2)² + h² + w √(l/2)² + h²

= 5 √(4/2)² + 3² + 4 √(5/2)² + 3² in²

= 5 √(2)² + 3² + 4 √(2.5)² + 3² in²

= 5 √(4) + 9 + 4 √(6.25) + 9 in²

= 5 √13 + 4 √15.25 in²

= (5 x 3.6056) + (4 x 3.9051) in²

= 18.0278 + 15.6205 in²

Lateral Area = 33.6483 in²

## Pyramid & Formulas

**Pyramid** is a three dimensional plane or geometric shape, a polyhedron having its base of one polygon with any number of sides and the other faces are triangle with common vertices connecting at the top middle point called the apex. K-12 students may refer the below formulas of pyramid to know what are all the input parameters are being used to find the volume, surface area & lateral surface of pyramid.

### Problems on Volume, Surface Area & Lateral Surface of a Pyramid

- The length, width & height of a pyramid measured as 9 inches, 7 inches and 6 inches respectively, find what is the volume, surface area and lateral surface of the pyramid?
- The length of pyramid is 90 inches, width is 75 inches and height is 30 inches, find what is the volume, surface area and lateral surface of the pyramid?