Surface area of a Pyramid 19 centimeters by 97 centimeters by 73 centimeters 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 19 centimeters by width 97 centimeters by height 73 centimeters is 10648.9209495 centimeters².

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 =19 , the width w =97 , and the height h =73 into the formula for surface area of a pyramid

A=($19 \cdot97+19$$\sqrt{(\frac{97}{2})^2+(73)^2}$$+97$$\sqrt{(\frac{19}{2})^2+(73)^2}$) cm

Simplify each term.

Multiply 19 cm by 97 cm

A = $1843.0 + 19$$\sqrt{(\frac{97}{2})^2+(73)^2}$$+97$$\sqrt{(\frac{19}{2})^2+(73)^2}$

Square root of $\sqrt{(\frac{97}{2})^2+(73)^2}$ is 87.6427407

Put The values in Area Formula:

A= $1843.0 + 19 \cdot 87.6427407 + 97$$\sqrt{(\frac{19}{2})^2 + (73)^2}$

Square Root of $\sqrt{(\frac{19}{2})^2+(73)^2}$ is 73.6155554

Put The values in Area Formula:

A= 1843.0 + 19 x 87.6427407 + 97 x 73.6155554

Multiply 19 and 87.6427407

A= 1843.0 + 1665.2120736 + 97 x 73.6155554

Multiply 97 and 73.6155554

A= 1843.0 + 1665.2120736 + 7140.7088759

Add 1843.0 and 1665.2120736

A=3508.2120736 + 7140.7088759

A= 10648.9209495 cm²

∴ The Surface Area of Pyramid length 19 cm , width 97 cm and height 73 cm is 10648.9209495 cm²