Surface area of a Pyramid 23 centimeters by 11 centimeters by 44 centimeters 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 23 centimeters by width 11 centimeters by height 44 centimeters is 1773.1337885 centimeters².

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 =23 , the width w =11 , and the height h =44 into the formula for surface area of a pyramid

A=($23 \cdot11+23$$\sqrt{(\frac{11}{2})^2+(44)^2}$$+11$$\sqrt{(\frac{23}{2})^2+(44)^2}$) cm

Simplify each term.

Multiply 23 cm by 11 cm

A = $253.0 + 23$$\sqrt{(\frac{11}{2})^2+(44)^2}$$+11$$\sqrt{(\frac{23}{2})^2+(44)^2}$

Square root of $\sqrt{(\frac{11}{2})^2+(44)^2}$ is 44.3424176

Put The values in Area Formula:

A= $253.0 + 23 \cdot 44.3424176 + 11$$\sqrt{(\frac{23}{2})^2 + (44)^2}$

Square Root of $\sqrt{(\frac{23}{2})^2+(44)^2}$ is 45.4780167

Put The values in Area Formula:

A= 253.0 + 23 x 44.3424176 + 11 x 45.4780167

Multiply 23 and 44.3424176

A= 253.0 + 1019.8756052 + 11 x 45.4780167

Multiply 11 and 45.4780167

A= 253.0 + 1019.8756052 + 500.2581833

Add 253.0 and 1019.8756052

A=1272.8756052 + 500.2581833

A= 1773.1337885 cm²

∴ The Surface Area of Pyramid length 23 cm , width 11 cm and height 44 cm is 1773.1337885 cm²