Surface area of a Pyramid 42 yards by 29 yards by 54 yards 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 42 yards by width 29 yards by height 54 yards is 5246.5899924 yards².

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 =42 , the width w =29 , and the height h =54 into the formula for surface area of a pyramid

A=($42 \cdot29+42$$\sqrt{(\frac{29}{2})^2+(54)^2}$$+29$$\sqrt{(\frac{42}{2})^2+(54)^2}$) yd

Simplify each term.

Multiply 42 yd by 29 yd

A = $1218.0 + 42$$\sqrt{(\frac{29}{2})^2+(54)^2}$$+29$$\sqrt{(\frac{42}{2})^2+(54)^2}$

Square root of $\sqrt{(\frac{29}{2})^2+(54)^2}$ is 55.9128787

Put The values in Area Formula:

A= $1218.0 + 42 \cdot 55.9128787 + 29$$\sqrt{(\frac{42}{2})^2 + (54)^2}$

Square Root of $\sqrt{(\frac{42}{2})^2+(54)^2}$ is 57.9396237

Put The values in Area Formula:

A= 1218.0 + 42 x 55.9128787 + 29 x 57.9396237

Multiply 42 and 55.9128787

A= 1218.0 + 2348.3409037 + 29 x 57.9396237

Multiply 29 and 57.9396237

A= 1218.0 + 2348.3409037 + 1680.2490887

Add 1218.0 and 2348.3409037

A=3566.3409037 + 1680.2490887

A= 5246.5899924 yd²

∴ The Surface Area of Pyramid length 42 yd , width 29 yd and height 54 yd is 5246.5899924 yd²