Surface area of a Pyramid 25 foot by 90 foot by 39 foot 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 25 foot by width 90 foot by height 39 foot is 7424.5893414 foot².

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 =25 , the width w =90 , and the height h =39 into the formula for surface area of a pyramid

A=($25 \cdot90+25$$\sqrt{(\frac{90}{2})^2+(39)^2}$$+90$$\sqrt{(\frac{25}{2})^2+(39)^2}$) ft

Simplify each term.

Multiply 25 ft by 90 ft

A = $2250.0 + 25$$\sqrt{(\frac{90}{2})^2+(39)^2}$$+90$$\sqrt{(\frac{25}{2})^2+(39)^2}$

Square root of $\sqrt{(\frac{90}{2})^2+(39)^2}$ is 59.5482997

Put The values in Area Formula:

A= $2250.0 + 25 \cdot 59.5482997 + 90$$\sqrt{(\frac{25}{2})^2 + (39)^2}$

Square Root of $\sqrt{(\frac{25}{2})^2+(39)^2}$ is 40.9542428

Put The values in Area Formula:

A= 2250.0 + 25 x 59.5482997 + 90 x 40.9542428

Multiply 25 and 59.5482997

A= 2250.0 + 1488.7074931 + 90 x 40.9542428

Multiply 90 and 40.9542428

A= 2250.0 + 1488.7074931 + 3685.8818484

Add 2250.0 and 1488.7074931

A=3738.7074931 + 3685.8818484

A= 7424.5893414 ft²

∴ The Surface Area of Pyramid length 25 ft , width 90 ft and height 39 ft is 7424.5893414 ft²