Calculators & Converters
    Pyramid
    Length :

    Height :

    Width :


    Volume :

    Surface Area :

    Lateral Surface :





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    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.

    pyramid formulas to calculate volume, surface area & lateral surface
    Pyramid formulas to calculate volume, surface area & lateral surface

    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.
    getcalc.com Calculators