Surface area of a Pyramid 18 inches by 39 inches by 37 inches 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 18 inches by width 39 inches by height 37 inches is 2939.9084064 inches².

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 =18 , the width w =39 , and the height h =37 into the formula for surface area of a pyramid

A=($18 \cdot39+18$$\sqrt{(\frac{39}{2})^2+(37)^2}$$+39$$\sqrt{(\frac{18}{2})^2+(37)^2}$) in

Simplify each term.

Multiply 18 in by 39 in

A = $702.0 + 18$$\sqrt{(\frac{39}{2})^2+(37)^2}$$+39$$\sqrt{(\frac{18}{2})^2+(37)^2}$

Square root of $\sqrt{(\frac{39}{2})^2+(37)^2}$ is 41.8240362

Put The values in Area Formula:

A= $702.0 + 18 \cdot 41.8240362 + 39$$\sqrt{(\frac{18}{2})^2 + (37)^2}$

Square Root of $\sqrt{(\frac{18}{2})^2+(37)^2}$ is 38.0788655

Put The values in Area Formula:

A= 702.0 + 18 x 41.8240362 + 39 x 38.0788655

Multiply 18 and 41.8240362

A= 702.0 + 752.8326507 + 39 x 38.0788655

Multiply 39 and 38.0788655

A= 702.0 + 752.8326507 + 1485.0757556

Add 702.0 and 752.8326507

A=1454.8326507 + 1485.0757556

A= 2939.9084064 in²

∴ The Surface Area of Pyramid length 18 in , width 39 in and height 37 in is 2939.9084064 in²