Surface area of a Pyramid 11 foot by 64 foot by 17 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 64 foot by height 17 foot is 2246.1131372 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 =64 , and the height h =17 into the formula for surface area of a pyramid

A=($11 \cdot64+11$$\sqrt{(\frac{64}{2})^2+(17)^2}$$+64$$\sqrt{(\frac{11}{2})^2+(17)^2}$) ft

Simplify each term.

Multiply 11 ft by 64 ft

A = $704.0 + 11$$\sqrt{(\frac{64}{2})^2+(17)^2}$$+64$$\sqrt{(\frac{11}{2})^2+(17)^2}$

Square root of $\sqrt{(\frac{64}{2})^2+(17)^2}$ is 36.2353419

Put The values in Area Formula:

A= $704.0 + 11 \cdot 36.2353419 + 64$$\sqrt{(\frac{11}{2})^2 + (17)^2}$

Square Root of $\sqrt{(\frac{11}{2})^2+(17)^2}$ is 17.8675684

Put The values in Area Formula:

A= 704.0 + 11 x 36.2353419 + 64 x 17.8675684

Multiply 11 and 36.2353419

A= 704.0 + 398.5887605 + 64 x 17.8675684

Multiply 64 and 17.8675684

A= 704.0 + 398.5887605 + 1143.5243767

Add 704.0 and 398.5887605

A=1102.5887605 + 1143.5243767

A= 2246.1131372 ft²

∴ The Surface Area of Pyramid length 11 ft , width 64 ft and height 17 ft is 2246.1131372 ft²