Surface area of a Pyramid 35 yards by 23 yards by 56 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 35 yards by width 23 yards by height 56 yards is 4155.3272558 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 =35 , the width w =23 , and the height h =56 into the formula for surface area of a pyramid

A=($35 \cdot23+35$$\sqrt{(\frac{23}{2})^2+(56)^2}$$+23$$\sqrt{(\frac{35}{2})^2+(56)^2}$) yd

Simplify each term.

Multiply 35 yd by 23 yd

A = $805.0 + 35$$\sqrt{(\frac{23}{2})^2+(56)^2}$$+23$$\sqrt{(\frac{35}{2})^2+(56)^2}$

Square root of $\sqrt{(\frac{23}{2})^2+(56)^2}$ is 57.1686103

Put The values in Area Formula:

A= $805.0 + 35 \cdot 57.1686103 + 23$$\sqrt{(\frac{35}{2})^2 + (56)^2}$

Square Root of $\sqrt{(\frac{35}{2})^2+(56)^2}$ is 58.6706911

Put The values in Area Formula:

A= 805.0 + 35 x 57.1686103 + 23 x 58.6706911

Multiply 35 and 57.1686103

A= 805.0 + 2000.9013594 + 23 x 58.6706911

Multiply 23 and 58.6706911

A= 805.0 + 2000.9013594 + 1349.4258964

Add 805.0 and 2000.9013594

A=2805.9013594 + 1349.4258964

A= 4155.3272558 yd²

∴ The Surface Area of Pyramid length 35 yd , width 23 yd and height 56 yd is 4155.3272558 yd²