Surface area of a Pyramid 58 centimeters by 21 centimeters by 29 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 58 centimeters by width 21 centimeters by height 29 centimeters is 3868.111839 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 =58 , the width w =21 , and the height h =29 into the formula for surface area of a pyramid

A=($58 \cdot21+58$$\sqrt{(\frac{21}{2})^2+(29)^2}$$+21$$\sqrt{(\frac{58}{2})^2+(29)^2}$) cm

Simplify each term.

Multiply 58 cm by 21 cm

A = $1218.0 + 58$$\sqrt{(\frac{21}{2})^2+(29)^2}$$+21$$\sqrt{(\frac{58}{2})^2+(29)^2}$

Square root of $\sqrt{(\frac{21}{2})^2+(29)^2}$ is 30.842341

Put The values in Area Formula:

A= $1218.0 + 58 \cdot 30.842341 + 21$$\sqrt{(\frac{58}{2})^2 + (29)^2}$

Square Root of $\sqrt{(\frac{58}{2})^2+(29)^2}$ is 41.0121933

Put The values in Area Formula:

A= 1218.0 + 58 x 30.842341 + 21 x 41.0121933

Multiply 58 and 30.842341

A= 1218.0 + 1788.8557795 + 21 x 41.0121933

Multiply 21 and 41.0121933

A= 1218.0 + 1788.8557795 + 861.2560595

Add 1218.0 and 1788.8557795

A=3006.8557795 + 861.2560595

A= 3868.111839 cm²

∴ The Surface Area of Pyramid length 58 cm , width 21 cm and height 29 cm is 3868.111839 cm²