Surface area of a Pyramid 45 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 45 foot by width 98 foot by height 67 foot is 15071.6251659 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 =45 , the width w =98 , and the height h =67 into the formula for surface area of a pyramid

A=($45 \cdot98+45$$\sqrt{(\frac{98}{2})^2+(67)^2}$$+98$$\sqrt{(\frac{45}{2})^2+(67)^2}$) ft

Simplify each term.

Multiply 45 ft by 98 ft

A = $4410.0 + 45$$\sqrt{(\frac{98}{2})^2+(67)^2}$$+98$$\sqrt{(\frac{45}{2})^2+(67)^2}$

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

Put The values in Area Formula:

A= $4410.0 + 45 \cdot 83.0060239 + 98$$\sqrt{(\frac{45}{2})^2 + (67)^2}$

Square Root of $\sqrt{(\frac{45}{2})^2+(67)^2}$ is 70.6770826

Put The values in Area Formula:

A= 4410.0 + 45 x 83.0060239 + 98 x 70.6770826

Multiply 45 and 83.0060239

A= 4410.0 + 3735.2710745 + 98 x 70.6770826

Multiply 98 and 70.6770826

A= 4410.0 + 3735.2710745 + 6926.3540914

Add 4410.0 and 3735.2710745

A=8145.2710745 + 6926.3540914

A= 15071.6251659 ft²

∴ The Surface Area of Pyramid length 45 ft , width 98 ft and height 67 ft is 15071.6251659 ft²