Surface area of a Pyramid 10 foot by 93 foot by 27 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 10 foot by width 93 foot by height 27 foot is 4021.3960704 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 =10 , the width w =93 , and the height h =27 into the formula for surface area of a pyramid

A=($10 \cdot93+10$$\sqrt{(\frac{93}{2})^2+(27)^2}$$+93$$\sqrt{(\frac{10}{2})^2+(27)^2}$) ft

Simplify each term.

Multiply 10 ft by 93 ft

A = $930.0 + 10$$\sqrt{(\frac{93}{2})^2+(27)^2}$$+93$$\sqrt{(\frac{10}{2})^2+(27)^2}$

Square root of $\sqrt{(\frac{93}{2})^2+(27)^2}$ is 53.770345

Put The values in Area Formula:

A= $930.0 + 10 \cdot 53.770345 + 93$$\sqrt{(\frac{10}{2})^2 + (27)^2}$

Square Root of $\sqrt{(\frac{10}{2})^2+(27)^2}$ is 27.4590604

Put The values in Area Formula:

A= 930.0 + 10 x 53.770345 + 93 x 27.4590604

Multiply 10 and 53.770345

A= 930.0 + 537.7034499 + 93 x 27.4590604

Multiply 93 and 27.4590604

A= 930.0 + 537.7034499 + 2553.6926205

Add 930.0 and 537.7034499

A=1467.7034499 + 2553.6926205

A= 4021.3960704 ft²

∴ The Surface Area of Pyramid length 10 ft , width 93 ft and height 27 ft is 4021.3960704 ft²