Surface area of a Pyramid 71 inches by 96 inches by 37 inches Calculator

The surface area of a pyramid is equal to the sum of the areas of each side of the pyramid. The base of the pyramid has area l x w , and sl and sw represent the slant height on the length and slant height on the width. If the Pyramid has a length 71 inches by width 96 inches by height 37 inches is 16041.4913308 inches².

Steps:

The Surface area of Pyramid A = $lw+l$$\sqrt{(\frac{w}{2})^2+(h)^2}$$+w$$\sqrt{(\frac{l}{2})^2+(h)^2}$

Substitute the values of the length l =71 , the width w =96 , and the height h =37 into the formula for surface area of a pyramid

A=($71 \cdot96+71$$\sqrt{(\frac{96}{2})^2+(37)^2}$$+96$$\sqrt{(\frac{71}{2})^2+(37)^2}$) in

Simplify each term.

Multiply 71 in by 96 in

A = $6816.0 + 71$$\sqrt{(\frac{96}{2})^2+(37)^2}$$+96$$\sqrt{(\frac{71}{2})^2+(37)^2}$

Square root of $\sqrt{(\frac{96}{2})^2+(37)^2}$ is 60.6052803

Put The values in Area Formula:

A= $6816.0 + 71 \cdot 60.6052803 + 96$$\sqrt{(\frac{71}{2})^2 + (37)^2}$

Square Root of $\sqrt{(\frac{71}{2})^2+(37)^2}$ is 51.2762128

Put The values in Area Formula:

A= 6816.0 + 71 x 60.6052803 + 96 x 51.2762128

Multiply 71 and 60.6052803

A= 6816.0 + 4302.9749012 + 96 x 51.2762128

Multiply 96 and 51.2762128

A= 6816.0 + 4302.9749012 + 4922.5164296

Add 6816.0 and 4302.9749012

A=11118.9749012 + 4922.5164296

A= 16041.4913308 in²

∴ The Surface Area of Pyramid length 71 in , width 96 in and height 37 in is 16041.4913308 in²