Surface area of a Pyramid 15 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 15 foot by width 93 foot by height 23 foot is 4423.0093798 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 =15 , the width w =93 , and the height h =23 into the formula for surface area of a pyramid

A=($15 \cdot93+15$$\sqrt{(\frac{93}{2})^2+(23)^2}$$+93$$\sqrt{(\frac{15}{2})^2+(23)^2}$) ft

Simplify each term.

Multiply 15 ft by 93 ft

A = $1395.0 + 15$$\sqrt{(\frac{93}{2})^2+(23)^2}$$+93$$\sqrt{(\frac{15}{2})^2+(23)^2}$

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

Put The values in Area Formula:

A= $1395.0 + 15 \cdot 51.877259 + 93$$\sqrt{(\frac{15}{2})^2 + (23)^2}$

Square Root of $\sqrt{(\frac{15}{2})^2+(23)^2}$ is 24.1919408

Put The values in Area Formula:

A= 1395.0 + 15 x 51.877259 + 93 x 24.1919408

Multiply 15 and 51.877259

A= 1395.0 + 778.1588848 + 93 x 24.1919408

Multiply 93 and 24.1919408

A= 1395.0 + 778.1588848 + 2249.850495

Add 1395.0 and 778.1588848

A=2173.1588848 + 2249.850495

A= 4423.0093798 ft²

∴ The Surface Area of Pyramid length 15 ft , width 93 ft and height 23 ft is 4423.0093798 ft²