Surface area of a Pyramid 46 inches by 55 inches by 75 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 46 inches by width 55 inches by height 75 inches is 10519.2143256 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 =46 , the width w =55 , and the height h =75 into the formula for surface area of a pyramid

A=($46 \cdot55+46$$\sqrt{(\frac{55}{2})^2+(75)^2}$$+55$$\sqrt{(\frac{46}{2})^2+(75)^2}$) in

Simplify each term.

Multiply 46 in by 55 in

A = $2530.0 + 46$$\sqrt{(\frac{55}{2})^2+(75)^2}$$+55$$\sqrt{(\frac{46}{2})^2+(75)^2}$

Square root of $\sqrt{(\frac{55}{2})^2+(75)^2}$ is 79.8827265

Put The values in Area Formula:

A= $2530.0 + 46 \cdot 79.8827265 + 55$$\sqrt{(\frac{46}{2})^2 + (75)^2}$

Square Root of $\sqrt{(\frac{46}{2})^2+(75)^2}$ is 78.4474346

Put The values in Area Formula:

A= 2530.0 + 46 x 79.8827265 + 55 x 78.4474346

Multiply 46 and 79.8827265

A= 2530.0 + 3674.605421 + 55 x 78.4474346

Multiply 55 and 78.4474346

A= 2530.0 + 3674.605421 + 4314.6089046

Add 2530.0 and 3674.605421

A=6204.605421 + 4314.6089046

A= 10519.2143256 in²

∴ The Surface Area of Pyramid length 46 in , width 55 in and height 75 in is 10519.2143256 in²