Surface area of a Pyramid 76 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 76 inches by width 96 inches by height 32 inches is 16449.5314127 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 =76 , the width w =96 , and the height h =32 into the formula for surface area of a pyramid

A=($76 \cdot96+76$$\sqrt{(\frac{96}{2})^2+(32)^2}$$+96$$\sqrt{(\frac{76}{2})^2+(32)^2}$) in

Simplify each term.

Multiply 76 in by 96 in

A = $7296.0 + 76$$\sqrt{(\frac{96}{2})^2+(32)^2}$$+96$$\sqrt{(\frac{76}{2})^2+(32)^2}$

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

Put The values in Area Formula:

A= $7296.0 + 76 \cdot 57.6888204 + 96$$\sqrt{(\frac{76}{2})^2 + (32)^2}$

Square Root of $\sqrt{(\frac{76}{2})^2+(32)^2}$ is 49.6789694

Put The values in Area Formula:

A= 7296.0 + 76 x 57.6888204 + 96 x 49.6789694

Multiply 76 and 57.6888204

A= 7296.0 + 4384.350351 + 96 x 49.6789694

Multiply 96 and 49.6789694

A= 7296.0 + 4384.350351 + 4769.1810618

Add 7296.0 and 4384.350351

A=11680.350351 + 4769.1810618

A= 16449.5314127 in²

∴ The Surface Area of Pyramid length 76 in , width 96 in and height 32 in is 16449.5314127 in²