Surface area of a Pyramid 75 centimeters by 37 centimeters by 87 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 75 centimeters by width 37 centimeters by height 87 centimeters is 12951.1890427 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 =75 , the width w =37 , and the height h =87 into the formula for surface area of a pyramid

A=($75 \cdot37+75$$\sqrt{(\frac{37}{2})^2+(87)^2}$$+37$$\sqrt{(\frac{75}{2})^2+(87)^2}$) cm

Simplify each term.

Multiply 75 cm by 37 cm

A = $2775.0 + 75$$\sqrt{(\frac{37}{2})^2+(87)^2}$$+37$$\sqrt{(\frac{75}{2})^2+(87)^2}$

Square root of $\sqrt{(\frac{37}{2})^2+(87)^2}$ is 88.9452079

Put The values in Area Formula:

A= $2775.0 + 75 \cdot 88.9452079 + 37$$\sqrt{(\frac{75}{2})^2 + (87)^2}$

Square Root of $\sqrt{(\frac{75}{2})^2+(87)^2}$ is 94.737796

Put The values in Area Formula:

A= 2775.0 + 75 x 88.9452079 + 37 x 94.737796

Multiply 75 and 88.9452079

A= 2775.0 + 6670.890589 + 37 x 94.737796

Multiply 37 and 94.737796

A= 2775.0 + 6670.890589 + 3505.2984538

Add 2775.0 and 6670.890589

A=9445.890589 + 3505.2984538

A= 12951.1890427 cm²

∴ The Surface Area of Pyramid length 75 cm , width 37 cm and height 87 cm is 12951.1890427 cm²