Surface area of a Pyramid 76 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 76 centimeters by width 37 centimeters by height 87 centimeters is 13084.4981774 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 =76 , the width w =37 , and the height h =87 into the formula for surface area of a pyramid

A=($76 \cdot37+76$$\sqrt{(\frac{37}{2})^2+(87)^2}$$+37$$\sqrt{(\frac{76}{2})^2+(87)^2}$) cm

Simplify each term.

Multiply 76 cm by 37 cm

A = $2812.0 + 76$$\sqrt{(\frac{37}{2})^2+(87)^2}$$+37$$\sqrt{(\frac{76}{2})^2+(87)^2}$

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

Put The values in Area Formula:

A= $2812.0 + 76 \cdot 88.9452079 + 37$$\sqrt{(\frac{76}{2})^2 + (87)^2}$

Square Root of $\sqrt{(\frac{76}{2})^2+(87)^2}$ is 94.9368211

Put The values in Area Formula:

A= 2812.0 + 76 x 88.9452079 + 37 x 94.9368211

Multiply 76 and 88.9452079

A= 2812.0 + 6759.8357968 + 37 x 94.9368211

Multiply 37 and 94.9368211

A= 2812.0 + 6759.8357968 + 3512.6623806

Add 2812.0 and 6759.8357968

A=9571.8357968 + 3512.6623806

A= 13084.4981774 cm²

∴ The Surface Area of Pyramid length 76 cm , width 37 cm and height 87 cm is 13084.4981774 cm²