Surface area of a Pyramid 72 inches by 96 inches by 32 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 72 inches by width 96 inches by height 32 inches is 15689.5673876 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 =72 , the width w =96 , and the height h =32 into the formula for surface area of a pyramid

A=($72 \cdot96+72$$\sqrt{(\frac{96}{2})^2+(32)^2}$$+96$$\sqrt{(\frac{72}{2})^2+(32)^2}$) in

Simplify each term.

Multiply 72 in by 96 in

A = $6912.0 + 72$$\sqrt{(\frac{96}{2})^2+(32)^2}$$+96$$\sqrt{(\frac{72}{2})^2+(32)^2}$

Square root of $\sqrt{(\frac{96}{2})^2+(32)^2}$ is 57.6888204

Put The values in Area Formula:

A= $6912.0 + 72 \cdot 57.6888204 + 96$$\sqrt{(\frac{72}{2})^2 + (32)^2}$

Square Root of $\sqrt{(\frac{72}{2})^2+(32)^2}$ is 48.1663783

Put The values in Area Formula:

A= 6912.0 + 72 x 57.6888204 + 96 x 48.1663783

Multiply 72 and 57.6888204

A= 6912.0 + 4153.5950693 + 96 x 48.1663783

Multiply 96 and 48.1663783

A= 6912.0 + 4153.5950693 + 4623.9723183

Add 6912.0 and 4153.5950693

A=11065.5950693 + 4623.9723183

A= 15689.5673876 in²

∴ The Surface Area of Pyramid length 72 in , width 96 in and height 32 in is 15689.5673876 in²