Surface area of a Pyramid 10 foot by 93 foot by 24 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 24 foot is 3733.2059313 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 =24 into the formula for surface area of a pyramid

A=($10 \cdot93+10$$\sqrt{(\frac{93}{2})^2+(24)^2}$$+93$$\sqrt{(\frac{10}{2})^2+(24)^2}$) ft

Simplify each term.

Multiply 10 ft by 93 ft

A = $930.0 + 10$$\sqrt{(\frac{93}{2})^2+(24)^2}$$+93$$\sqrt{(\frac{10}{2})^2+(24)^2}$

Square root of $\sqrt{(\frac{93}{2})^2+(24)^2}$ is 52.3282906

Put The values in Area Formula:

A= $930.0 + 10 \cdot 52.3282906 + 93$$\sqrt{(\frac{10}{2})^2 + (24)^2}$

Square Root of $\sqrt{(\frac{10}{2})^2+(24)^2}$ is 24.5153013

Put The values in Area Formula:

A= 930.0 + 10 x 52.3282906 + 93 x 24.5153013

Multiply 10 and 52.3282906

A= 930.0 + 523.2829063 + 93 x 24.5153013

Multiply 93 and 24.5153013

A= 930.0 + 523.2829063 + 2279.923025

Add 930.0 and 523.2829063

A=1453.2829063 + 2279.923025

A= 3733.2059313 ft²

∴ The Surface Area of Pyramid length 10 ft , width 93 ft and height 24 ft is 3733.2059313 ft²