Surface area of a Pyramid 5 centimeters by 5 centimeters by 10 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 5 centimeters by width 5 centimeters by height 10 centimeters is 128.0776406 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 =5 , the width w =5 , and the height h =10 into the formula for surface area of a pyramid

A=($5 \cdot5+5$$\sqrt{(\frac{5}{2})^2+(10)^2}$$+5$$\sqrt{(\frac{5}{2})^2+(10)^2}$) cm

Simplify each term.

Multiply 5 cm by 5 cm

A = $25.0 + 5$$\sqrt{(\frac{5}{2})^2+(10)^2}$$+5$$\sqrt{(\frac{5}{2})^2+(10)^2}$

Square root of $\sqrt{(\frac{5}{2})^2+(10)^2}$ is 10.3077641

Put The values in Area Formula:

A= $25.0 + 5 \cdot 10.3077641 + 5$$\sqrt{(\frac{5}{2})^2 + (10)^2}$

Square Root of $\sqrt{(\frac{5}{2})^2+(10)^2}$ is 10.3077641

Put The values in Area Formula:

A= 25.0 + 5 x 10.3077641 + 5 x 10.3077641

Multiply 5 and 10.3077641

A= 25.0 + 51.5388203 + 5 x 10.3077641

Multiply 5 and 10.3077641

A= 25.0 + 51.5388203 + 51.5388203

Add 25.0 and 51.5388203

A=76.5388203 + 51.5388203

A= 128.0776406 cm²

∴ The Surface Area of Pyramid length 5 cm , width 5 cm and height 10 cm is 128.0776406 cm²