Surface area of a Pyramid 40 foot by 98 foot by 67 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 40 foot by width 98 foot by height 67 foot is 14092.5366288 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 =40 , the width w =98 , and the height h =67 into the formula for surface area of a pyramid

A=($40 \cdot98+40$$\sqrt{(\frac{98}{2})^2+(67)^2}$$+98$$\sqrt{(\frac{40}{2})^2+(67)^2}$) ft

Simplify each term.

Multiply 40 ft by 98 ft

A = $3920.0 + 40$$\sqrt{(\frac{98}{2})^2+(67)^2}$$+98$$\sqrt{(\frac{40}{2})^2+(67)^2}$

Square root of $\sqrt{(\frac{98}{2})^2+(67)^2}$ is 83.0060239

Put The values in Area Formula:

A= $3920.0 + 40 \cdot 83.0060239 + 98$$\sqrt{(\frac{40}{2})^2 + (67)^2}$

Square Root of $\sqrt{(\frac{40}{2})^2+(67)^2}$ is 69.9213844

Put The values in Area Formula:

A= 3920.0 + 40 x 83.0060239 + 98 x 69.9213844

Multiply 40 and 83.0060239

A= 3920.0 + 3320.2409551 + 98 x 69.9213844

Multiply 98 and 69.9213844

A= 3920.0 + 3320.2409551 + 6852.2956737

Add 3920.0 and 3320.2409551

A=7240.2409551 + 6852.2956737

A= 14092.5366288 ft²

∴ The Surface Area of Pyramid length 40 ft , width 98 ft and height 67 ft is 14092.5366288 ft²