Surface area of a Pyramid 72 yards by 89 yards by 85 yards 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 72 yards by width 89 yards by height 85 yards is 21531.4919636 yards².

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 =72 , the width w =89 , and the height h =85 into the formula for surface area of a pyramid

A=($72 \cdot89+72$$\sqrt{(\frac{89}{2})^2+(85)^2}$$+89$$\sqrt{(\frac{72}{2})^2+(85)^2}$) yd

Simplify each term.

Multiply 72 yd by 89 yd

A = $6408.0 + 72$$\sqrt{(\frac{89}{2})^2+(85)^2}$$+89$$\sqrt{(\frac{72}{2})^2+(85)^2}$

Square root of $\sqrt{(\frac{89}{2})^2+(85)^2}$ is 95.9439941

Put The values in Area Formula:

A= $6408.0 + 72 \cdot 95.9439941 + 89$$\sqrt{(\frac{72}{2})^2 + (85)^2}$

Square Root of $\sqrt{(\frac{72}{2})^2+(85)^2}$ is 92.3092628

Put The values in Area Formula:

A= 6408.0 + 72 x 95.9439941 + 89 x 92.3092628

Multiply 72 and 95.9439941

A= 6408.0 + 6907.9675738 + 89 x 92.3092628

Multiply 89 and 92.3092628

A= 6408.0 + 6907.9675738 + 8215.5243898

Add 6408.0 and 6907.9675738

A=13315.9675738 + 8215.5243898

A= 21531.4919636 yd²

∴ The Surface Area of Pyramid length 72 yd , width 89 yd and height 85 yd is 21531.4919636 yd²