Surface area of a Pyramid 10 foot by 93 foot by 28 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 28 foot is 4117.9857528 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 =28 into the formula for surface area of a pyramid

A=($10 \cdot93+10$$\sqrt{(\frac{93}{2})^2+(28)^2}$$+93$$\sqrt{(\frac{10}{2})^2+(28)^2}$) ft

Simplify each term.

Multiply 10 ft by 93 ft

A = $930.0 + 10$$\sqrt{(\frac{93}{2})^2+(28)^2}$$+93$$\sqrt{(\frac{10}{2})^2+(28)^2}$

Square root of $\sqrt{(\frac{93}{2})^2+(28)^2}$ is 54.2793699

Put The values in Area Formula:

A= $930.0 + 10 \cdot 54.2793699 + 93$$\sqrt{(\frac{10}{2})^2 + (28)^2}$

Square Root of $\sqrt{(\frac{10}{2})^2+(28)^2}$ is 28.4429253

Put The values in Area Formula:

A= 930.0 + 10 x 54.2793699 + 93 x 28.4429253

Multiply 10 and 54.2793699

A= 930.0 + 542.7936993 + 93 x 28.4429253

Multiply 93 and 28.4429253

A= 930.0 + 542.7936993 + 2645.1920535

Add 930.0 and 542.7936993

A=1472.7936993 + 2645.1920535

A= 4117.9857528 ft²

∴ The Surface Area of Pyramid length 10 ft , width 93 ft and height 28 ft is 4117.9857528 ft²