Surface area of a Pyramid 71 centimeters by 37 centimeters by 89 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 89 centimeters is 12626.3688958 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 =89 into the formula for surface area of a pyramid

A=($71 \cdot37+71$$\sqrt{(\frac{37}{2})^2+(89)^2}$$+37$$\sqrt{(\frac{71}{2})^2+(89)^2}$) cm

Simplify each term.

Multiply 71 cm by 37 cm

A = $2627.0 + 71$$\sqrt{(\frac{37}{2})^2+(89)^2}$$+37$$\sqrt{(\frac{71}{2})^2+(89)^2}$

Square root of $\sqrt{(\frac{37}{2})^2+(89)^2}$ is 90.9024202

Put The values in Area Formula:

A= $2627.0 + 71 \cdot 90.9024202 + 37$$\sqrt{(\frac{71}{2})^2 + (89)^2}$

Square Root of $\sqrt{(\frac{71}{2})^2+(89)^2}$ is 95.8188395

Put The values in Area Formula:

A= 2627.0 + 71 x 90.9024202 + 37 x 95.8188395

Multiply 71 and 90.9024202

A= 2627.0 + 6454.0718349 + 37 x 95.8188395

Multiply 37 and 95.8188395

A= 2627.0 + 6454.0718349 + 3545.2970609

Add 2627.0 and 6454.0718349

A=9081.0718349 + 3545.2970609

A= 12626.3688958 cm²

∴ The Surface Area of Pyramid length 71 cm , width 37 cm and height 89 cm is 12626.3688958 cm²