Surface area of a Pyramid 22 meters by 59 foot by 36 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 22 meters by width 59 foot by height 36 yards is 1739.8442543 meters² or 2117.5254591 yards² or 19057.7223689 foot²

Surface area of a Pyramid 22 meters by 59 foot by 36 yards

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 = 22 m, the width w = 59 ft and the height h = 36 yd into the formula for surface area of a pyramid

A=($22 \cdot17.9832+22$$\sqrt{(\frac{17.9832}{2})^2+(32.9184)^2}$$+17.9832$$\sqrt{(\frac{22}{2})^2+(32.9184)^2}$) m

Simplify each term.

Multiply 22 m by 17.9832 m

A = $395.6304+22$$\sqrt{(\frac{17.9832}{2})^2+(32.9184)^2}$$+17.9832$$\sqrt{(\frac{22}{2})^2+(32.9184)^2}$

Square root of $\sqrt{(\frac{17.9832}{2})^2+(32.9184)^2}$ is 34.1243305

Put The values in Area Formula:

A= $395.6304+ 22 \cdot 34.1243305+17.9832$$\sqrt{(\frac{22}{2})^2+(32.9184)^2}$

Square Root of $\sqrt{(\frac{22}{2})^2+(32.9184)^2}$ is 33.0018342

Put The values in Area Formula:

A= 395.6304 + (22 x 34.1243305) + (17.9832 x 33.0018342)

Multiply 22 and 34.1243305

A= 395.6304 + 750.73527 + (17.9832 x 33.0018342)

Multiply 17.9832 and 33.0018342

A= 395.6304 + 750.73527 + 593.4785842

Add 395.6304 and 750.73527

A= 1146.36567 + 593.4785842

A= 1739.8442543 m²

∴ The Surface Area of Pyramid length 22 m , width 59 ft and height 36 yd is 1739.8442543 m²

or

A=($24.0595058 \cdot19.6666667+24.0595058$$\sqrt{(\frac{19.6666667}{2})^2+(36)^2}$$+19.6666667$$\sqrt{(\frac{24.0595058}{2})^2+(36)^2}$) yd

Simplify each term.

Multiply 24.0595058 yd by 19.6666667 yd

A = $473.17028154+24.0595058$$\sqrt{(\frac{19.6666667}{2})^2+(36)^2}$$+19.6666667$$\sqrt{(\frac{24.0595058}{2})^2+(36)^2}$

Square root of $\sqrt{(\frac{19.6666667}{2})^2+(36)^2}$ is 37.3188216

Put The values in Area Formula:

A= $473.17028154+ 24.0595058 \cdot 37.3188216+19.6666667$$\sqrt{(\frac{24.0595058}{2})^2+(36)^2}$

Square Root of $\sqrt{(\frac{24.0595058}{2})^2+(36)^2}$ is 37.9567511

Put The values in Area Formula:

A= 473.1702815 + (24.0595058 x 37.3188216) + (19.6666667 x 37.9567511)

Multiply 24.0595058 and 37.3188216

A= 473.1702815 + 897.8724045 + (19.6666667 x 37.9567511)

Multiply 19.6666667 and 37.9567511

A= 473.1702815 + 897.8724045 + 746.4827731

Add 473.1702815 and 897.8724045

A= 1371.042686 + 746.4827731

A=$2117.5254591$ yd²

∴ The Surface Area of Pyramid length 22 m , width 59 ft and height 36 yd is 2117.5254591 yd²

or

A=($72.17848 \cdot59+72.17848$$\sqrt{(\frac{59}{2})^2+(108.0)^2}$$+59$$\sqrt{(\frac{72.17848}{2})^2+(108.0)^2}$) ft

Simplify each term.

Multiply 72.17848 ft by 59 ft

A = $4258.53032+72.17848$$\sqrt{(\frac{59}{2})^2+(108.0)^2}$$+59$$\sqrt{(\frac{72.17848}{2})^2+(108.0)^2}$

Square root of $\sqrt{(\frac{59}{2})^2+(36)^2}$ is 111.9564648

Put The values in Area Formula:

A= $4258.53032+ 72.17848 \cdot 111.9564648+59$$\sqrt{(\frac{72.17848}{2})^2+(108.0)^2}$

Square Root of $\sqrt{(\frac{72.17848}{2})^2+(108.0)^2}$ is 113.8702474

Put The values in Area Formula:

A = 4258.53032 + (72.17848 x 111.9564648) + (59 x 113.8702474)

Multiply 72.17848 and 111.9564648

A = 4258.53032 + 8080.847452 +(59 x 113.8702474)

Multiply 59 and 113.8702474

A= 4258.53032 + 8080.847452 + 6718.3445968

Add 4258.53032 and 8080.847452

A = 12339.377772 + 6718.3445968

A= 19057.7223689 ft²

∴ The Surface Area of Pyramid length 22 m , width 59 ft and height 36 yd is 19057.7223689 ft²