Pyramid
Length :

Height :

Width :

Volume :

Surface Area :

Lateral Surface :

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HISTORY

# 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

Below are the practice problems for grade school students, on finding what is the volume, surface area and lateral surface of pyramid. By click on the corresponding problem shows the step-by-step calculation or work with steps for how to find the volume, surface area and lateral surface of pyramid. For any other similar values, use this pyramid calculator to verify the results.