Surface area of a Pyramid 42 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 42 foot by width 98 foot by height 67 foot is 14483.220958 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 =42 , the width w =98 , and the height h =67 into the formula for surface area of a pyramid

A=($42 \cdot98+42$$\sqrt{(\frac{98}{2})^2+(67)^2}$$+98$$\sqrt{(\frac{42}{2})^2+(67)^2}$) ft

Simplify each term.

Multiply 42 ft by 98 ft

A = $4116.0 + 42$$\sqrt{(\frac{98}{2})^2+(67)^2}$$+98$$\sqrt{(\frac{42}{2})^2+(67)^2}$

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

Put The values in Area Formula:

A= $4116.0 + 42 \cdot 83.0060239 + 98$$\sqrt{(\frac{42}{2})^2 + (67)^2}$

Square Root of $\sqrt{(\frac{42}{2})^2+(67)^2}$ is 70.2139587

Put The values in Area Formula:

A= 4116.0 + 42 x 83.0060239 + 98 x 70.2139587

Multiply 42 and 83.0060239

A= 4116.0 + 3486.2530029 + 98 x 70.2139587

Multiply 98 and 70.2139587

A= 4116.0 + 3486.2530029 + 6880.9679552

Add 4116.0 and 3486.2530029

A=7602.2530029 + 6880.9679552

A= 14483.220958 ft²

∴ The Surface Area of Pyramid length 42 ft , width 98 ft and height 67 ft is 14483.220958 ft²