Surface area of a Pyramid 40 foot by 98 foot by 70 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 70 foot is 14472.3432639 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 =70 into the formula for surface area of a pyramid

A=($40 \cdot98+40$$\sqrt{(\frac{98}{2})^2+(70)^2}$$+98$$\sqrt{(\frac{40}{2})^2+(70)^2}$) ft

Simplify each term.

Multiply 40 ft by 98 ft

A = $3920.0 + 40$$\sqrt{(\frac{98}{2})^2+(70)^2}$$+98$$\sqrt{(\frac{40}{2})^2+(70)^2}$

Square root of $\sqrt{(\frac{98}{2})^2+(70)^2}$ is 85.4458893

Put The values in Area Formula:

A= $3920.0 + 40 \cdot 85.4458893 + 98$$\sqrt{(\frac{40}{2})^2 + (70)^2}$

Square Root of $\sqrt{(\frac{40}{2})^2+(70)^2}$ is 72.8010989

Put The values in Area Formula:

A= 3920.0 + 40 x 85.4458893 + 98 x 72.8010989

Multiply 40 and 85.4458893

A= 3920.0 + 3417.8355724 + 98 x 72.8010989

Multiply 98 and 72.8010989

A= 3920.0 + 3417.8355724 + 7134.5076915

Add 3920.0 and 3417.8355724

A=7337.8355724 + 7134.5076915

A= 14472.3432639 ft²

∴ The Surface Area of Pyramid length 40 ft , width 98 ft and height 70 ft is 14472.3432639 ft²