Surface area of a Pyramid 3 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 3 centimeters by width 4 centimeters by height 5 centimeters is 49.0361074 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 =3 , the width w =4 , and the height h =5 into the formula for surface area of a pyramid

A=($3 \cdot4+3$$\sqrt{(\frac{4}{2})^2+(5)^2}$$+4$$\sqrt{(\frac{3}{2})^2+(5)^2}$) cm

Simplify each term.

Multiply 3 cm by 4 cm

A = $12.0 + 3$$\sqrt{(\frac{4}{2})^2+(5)^2}$$+4$$\sqrt{(\frac{3}{2})^2+(5)^2}$

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

Put The values in Area Formula:

A= $12.0 + 3 \cdot 5.3851648 + 4$$\sqrt{(\frac{3}{2})^2 + (5)^2}$

Square Root of $\sqrt{(\frac{3}{2})^2+(5)^2}$ is 5.2201533

Put The values in Area Formula:

A= 12.0 + 3 x 5.3851648 + 4 x 5.2201533

Multiply 3 and 5.3851648

A= 12.0 + 16.1554944 + 4 x 5.2201533

Multiply 4 and 5.2201533

A= 12.0 + 16.1554944 + 20.880613

Add 12.0 and 16.1554944

A=28.1554944 + 20.880613

A= 49.0361074 cm²

∴ The Surface Area of Pyramid length 3 cm , width 4 cm and height 5 cm is 49.0361074 cm²