Surface area of a Pyramid 83 yards by 52 yards by 42 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 83 yards by width 52 yards by height 42 yards is 11486.2102474 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 =83 , the width w =52 , and the height h =42 into the formula for surface area of a pyramid

A=($83 \cdot52+83$$\sqrt{(\frac{52}{2})^2+(42)^2}$$+52$$\sqrt{(\frac{83}{2})^2+(42)^2}$) yd

Simplify each term.

Multiply 83 yd by 52 yd

A = $4316.0 + 83$$\sqrt{(\frac{52}{2})^2+(42)^2}$$+52$$\sqrt{(\frac{83}{2})^2+(42)^2}$

Square root of $\sqrt{(\frac{52}{2})^2+(42)^2}$ is 49.3963561

Put The values in Area Formula:

A= $4316.0 + 83 \cdot 49.3963561 + 52$$\sqrt{(\frac{83}{2})^2 + (42)^2}$

Square Root of $\sqrt{(\frac{83}{2})^2+(42)^2}$ is 59.0444748

Put The values in Area Formula:

A= 4316.0 + 83 x 49.3963561 + 52 x 59.0444748

Multiply 83 and 49.3963561

A= 4316.0 + 4099.8975597 + 52 x 59.0444748

Multiply 52 and 59.0444748

A= 4316.0 + 4099.8975597 + 3070.3126877

Add 4316.0 and 4099.8975597

A=8415.8975597 + 3070.3126877

A= 11486.2102474 yd²

∴ The Surface Area of Pyramid length 83 yd , width 52 yd and height 42 yd is 11486.2102474 yd²