Surface area of a Pyramid 13 foot by 93 foot by 23 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 13 foot by width 93 foot by height 23 foot is 4106.1821897 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 =13 , the width w =93 , and the height h =23 into the formula for surface area of a pyramid

A=($13 \cdot93+13$$\sqrt{(\frac{93}{2})^2+(23)^2}$$+93$$\sqrt{(\frac{13}{2})^2+(23)^2}$) ft

Simplify each term.

Multiply 13 ft by 93 ft

A = $1209.0 + 13$$\sqrt{(\frac{93}{2})^2+(23)^2}$$+93$$\sqrt{(\frac{13}{2})^2+(23)^2}$

Square root of $\sqrt{(\frac{93}{2})^2+(23)^2}$ is 51.877259

Put The values in Area Formula:

A= $1209.0 + 13 \cdot 51.877259 + 93$$\sqrt{(\frac{13}{2})^2 + (23)^2}$

Square Root of $\sqrt{(\frac{13}{2})^2+(23)^2}$ is 23.9008368

Put The values in Area Formula:

A= 1209.0 + 13 x 51.877259 + 93 x 23.9008368

Multiply 13 and 51.877259

A= 1209.0 + 674.4043668 + 93 x 23.9008368

Multiply 93 and 23.9008368

A= 1209.0 + 674.4043668 + 2222.7778229

Add 1209.0 and 674.4043668

A=1883.4043668 + 2222.7778229

A= 4106.1821897 ft²

∴ The Surface Area of Pyramid length 13 ft , width 93 ft and height 23 ft is 4106.1821897 ft²