Edge Length of Base of Right Square Pyramid given Volume Calculator

Calculate Edge Length of Base of Right Square Pyramid





Formula

The formula to calculate the Edge Length of the Base of a Right Square Pyramid given its Volume is:

\[ l_e = \sqrt{\frac{3V}{h}} \]

Definition

The Edge Length of the Base of a Right Square Pyramid is the length of the straight line connecting any two adjacent vertices of the base of the Right Square Pyramid. The Volume of a Right Square Pyramid is the total quantity of three-dimensional space enclosed by the surface of the Right Square Pyramid. The Height of a Right Square Pyramid is the length of the perpendicular from the apex to the base of the Right Square Pyramid.

Example Calculation

Let's assume the following values:

Using the formula:

\[ l_e = \sqrt{\frac{3 \times 500}{15}} = 10 \text{ Meter} \]

The Edge Length of the Base of the Right Square Pyramid is 10 Meter.

Conversion Chart

Volume (Cubic Meter) Height (Meter) Edge Length (Meter)
450 15 9.486832980505138
460 15 9.591663046625438
470 15 9.695359714832659
480 15 9.797958971132712
490 15 9.899494936611665
500 15 10.000000000000000
510 15 10.099504938362077
520 15 10.198039027185569
530 15 10.295630140987001
540 15 10.392304845413264
550 15 10.488088481701515