Surface area of a Pyramid 11 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 11 foot by width 93 foot by height 23 foot is 3792.9572967 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 =11 , the width w =93 , and the height h =23 into the formula for surface area of a pyramid

A=($11 \cdot93+11$$\sqrt{(\frac{93}{2})^2+(23)^2}$$+93$$\sqrt{(\frac{11}{2})^2+(23)^2}$) ft

Simplify each term.

Multiply 11 ft by 93 ft

A = $1023.0 + 11$$\sqrt{(\frac{93}{2})^2+(23)^2}$$+93$$\sqrt{(\frac{11}{2})^2+(23)^2}$

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

Put The values in Area Formula:

A= $1023.0 + 11 \cdot 51.877259 + 93$$\sqrt{(\frac{11}{2})^2 + (23)^2}$

Square Root of $\sqrt{(\frac{11}{2})^2+(23)^2}$ is 23.6484672

Put The values in Area Formula:

A= 1023.0 + 11 x 51.877259 + 93 x 23.6484672

Multiply 11 and 51.877259

A= 1023.0 + 570.6498489 + 93 x 23.6484672

Multiply 93 and 23.6484672

A= 1023.0 + 570.6498489 + 2199.3074478

Add 1023.0 and 570.6498489

A=1593.6498489 + 2199.3074478

A= 3792.9572967 ft²

∴ The Surface Area of Pyramid length 11 ft , width 93 ft and height 23 ft is 3792.9572967 ft²