Surface area of a Pyramid 72 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 72 centimeters by width 37 centimeters by height 87 centimeters is 12551.7577369 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 =72 , the width w =37 , and the height h =87 into the formula for surface area of a pyramid

A=($72 \cdot37+72$$\sqrt{(\frac{37}{2})^2+(87)^2}$$+37$$\sqrt{(\frac{72}{2})^2+(87)^2}$) cm

Simplify each term.

Multiply 72 cm by 37 cm

A = $2664.0 + 72$$\sqrt{(\frac{37}{2})^2+(87)^2}$$+37$$\sqrt{(\frac{72}{2})^2+(87)^2}$

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

Put The values in Area Formula:

A= $2664.0 + 72 \cdot 88.9452079 + 37$$\sqrt{(\frac{72}{2})^2 + (87)^2}$

Square Root of $\sqrt{(\frac{72}{2})^2+(87)^2}$ is 94.154129

Put The values in Area Formula:

A= 2664.0 + 72 x 88.9452079 + 37 x 94.154129

Multiply 72 and 88.9452079

A= 2664.0 + 6404.0549654 + 37 x 94.154129

Multiply 37 and 94.154129

A= 2664.0 + 6404.0549654 + 3483.7027715

Add 2664.0 and 6404.0549654

A=9068.0549654 + 3483.7027715

A= 12551.7577369 cm²

∴ The Surface Area of Pyramid length 72 cm , width 37 cm and height 87 cm is 12551.7577369 cm²