Surface area of a Pyramid 71 centimeters by 37 centimeters by 90 centimeters 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 centimeters by width 37 centimeters by height 90 centimeters is 12730.2921833 centimeters².

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 =37 , and the height h =90 into the formula for surface area of a pyramid

A=($71 \cdot37+71$$\sqrt{(\frac{37}{2})^2+(90)^2}$$+37$$\sqrt{(\frac{71}{2})^2+(90)^2}$) cm

Simplify each term.

Multiply 71 cm by 37 cm

A = $2627.0 + 71$$\sqrt{(\frac{37}{2})^2+(90)^2}$$+37$$\sqrt{(\frac{71}{2})^2+(90)^2}$

Square root of $\sqrt{(\frac{37}{2})^2+(90)^2}$ is 91.8817174

Put The values in Area Formula:

A= $2627.0 + 71 \cdot 91.8817174 + 37$$\sqrt{(\frac{71}{2})^2 + (90)^2}$

Square Root of $\sqrt{(\frac{71}{2})^2+(90)^2}$ is 96.748385

Put The values in Area Formula:

A= 2627.0 + 71 x 91.8817174 + 37 x 96.748385

Multiply 71 and 91.8817174

A= 2627.0 + 6523.6019383 + 37 x 96.748385

Multiply 37 and 96.748385

A= 2627.0 + 6523.6019383 + 3579.690245

Add 2627.0 and 6523.6019383

A=9150.6019383 + 3579.690245

A= 12730.2921833 cm²

∴ The Surface Area of Pyramid length 71 cm , width 37 cm and height 90 cm is 12730.2921833 cm²