Surface area of a Pyramid 4 centimeters by 4 centimeters by 5 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 4 centimeters by width 4 centimeters by height 5 centimeters is 59.0813185 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 =4 , the width w =4 , and the height h =5 into the formula for surface area of a pyramid

A=($4 \cdot4+4$$\sqrt{(\frac{4}{2})^2+(5)^2}$$+4$$\sqrt{(\frac{4}{2})^2+(5)^2}$) cm

Simplify each term.

Multiply 4 cm by 4 cm

A = $16.0 + 4$$\sqrt{(\frac{4}{2})^2+(5)^2}$$+4$$\sqrt{(\frac{4}{2})^2+(5)^2}$

Square root of $\sqrt{(\frac{4}{2})^2+(5)^2}$ is 5.3851648

Put The values in Area Formula:

A= $16.0 + 4 \cdot 5.3851648 + 4$$\sqrt{(\frac{4}{2})^2 + (5)^2}$

Square Root of $\sqrt{(\frac{4}{2})^2+(5)^2}$ is 5.3851648

Put The values in Area Formula:

A= 16.0 + 4 x 5.3851648 + 4 x 5.3851648

Multiply 4 and 5.3851648

A= 16.0 + 21.5406592 + 4 x 5.3851648

Multiply 4 and 5.3851648

A= 16.0 + 21.5406592 + 21.5406592

Add 16.0 and 21.5406592

A=37.5406592 + 21.5406592

A= 59.0813185 cm²

∴ The Surface Area of Pyramid length 4 cm , width 4 cm and height 5 cm is 59.0813185 cm²