Surface area of a Pyramid 5 centimeters by 6 centimeters by 7 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 6 centimeters by height 7 centimeters is 112.6770718 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 =6 , and the height h =7 into the formula for surface area of a pyramid

A=($5 \cdot6+5$$\sqrt{(\frac{6}{2})^2+(7)^2}$$+6$$\sqrt{(\frac{5}{2})^2+(7)^2}$) cm

Simplify each term.

Multiply 5 cm by 6 cm

A = $30.0 + 5$$\sqrt{(\frac{6}{2})^2+(7)^2}$$+6$$\sqrt{(\frac{5}{2})^2+(7)^2}$

Square root of $\sqrt{(\frac{6}{2})^2+(7)^2}$ is 7.6157731

Put The values in Area Formula:

A= $30.0 + 5 \cdot 7.6157731 + 6$$\sqrt{(\frac{5}{2})^2 + (7)^2}$

Square Root of $\sqrt{(\frac{5}{2})^2+(7)^2}$ is 7.4330344

Put The values in Area Formula:

A= 30.0 + 5 x 7.6157731 + 6 x 7.4330344

Multiply 5 and 7.6157731

A= 30.0 + 38.0788655 + 6 x 7.4330344

Multiply 6 and 7.4330344

A= 30.0 + 38.0788655 + 44.5982062

Add 30.0 and 38.0788655

A=68.0788655 + 44.5982062

A= 112.6770718 cm²

∴ The Surface Area of Pyramid length 5 cm , width 6 cm and height 7 cm is 112.6770718 cm²