Surface area of a Pyramid 57 yards by 69 foot by 70 inches 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 57 yards by width 69 foot by height 70 inches is 2073.4682982 yards² or 3412144.8028608 inches² or 23695.4500188 foot²

Surface area of a Pyramid 57 yards by 69 foot by 70 inches

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 = 57 yd, the width w = 69 ft and the height h = 70 in into the formula for surface area of a pyramid

A=($57 \cdot23.0+57$$\sqrt{(\frac{23.0}{2})^2+(1.9444444)^2}$$+23.0$$\sqrt{(\frac{57}{2})^2+(1.9444444)^2}$) yd

Simplify each term.

Multiply 57 yd by 23.0 yd

A = $1311.0+57$$\sqrt{(\frac{23.0}{2})^2+(1.9444444)^2}$$+23.0$$\sqrt{(\frac{57}{2})^2+(1.9444444)^2}$

Square root of $\sqrt{(\frac{23.0}{2})^2+(1.9444444)^2}$ is 11.663227

Put The values in Area Formula:

A= $1311.0+ 57 \cdot 11.663227+23.0$$\sqrt{(\frac{57}{2})^2+(1.9444444)^2}$

Square Root of $\sqrt{(\frac{57}{2})^2+(1.9444444)^2}$ is 4.2462765

Put The values in Area Formula:

A= 1311.0 + (57 x 11.663227) + (23.0 x 4.2462765)

Multiply 57 and 11.663227

A= 1311.0 + 664.8039389 + (23.0 x 4.2462765)

Multiply 23.0 and 4.2462765

A= 1311.0 + 664.8039389 + 97.6643593

Add 1311.0 and 664.8039389

A= 1975.8039389 + 97.6643593

A= 2073.4682982 yd²

∴ The Surface Area of Pyramid length 57 yd , width 69 ft and height 70 in is 2073.4682982 yd²

or

A=($2052.0 \cdot828.0+2052.0$$\sqrt{(\frac{828.0}{2})^2+(70)^2}$$+828.0$$\sqrt{(\frac{2052.0}{2})^2+(70)^2}$) in

Simplify each term.

Multiply 2052.0 in by 828.0 in

A = $1699056.0+2052.0$$\sqrt{(\frac{828.0}{2})^2+(70)^2}$$+828.0$$\sqrt{(\frac{2052.0}{2})^2+(70)^2}$

Square root of $\sqrt{(\frac{828.0}{2})^2+(70)^2}$ is 419.8761722

Put The values in Area Formula:

A= $1699056.0+ 2052.0 \cdot 419.8761722+828.0$$\sqrt{(\frac{2052.0}{2})^2+(70)^2}$

Square Root of $\sqrt{(\frac{2052.0}{2})^2+(70)^2}$ is 1028.3851419

Put The values in Area Formula:

A= 1699056.0 + (2052.0 x 419.8761722) + (828.0 x 1028.3851419)

Multiply 2052.0 and 419.8761722

A= 1699056.0 + 861585.9054 + (828.0 x 1028.3851419)

Multiply 828.0 and 1028.3851419

A= 1699056.0 + 861585.9054 + 851502.8974607

Add 1699056.0 and 861585.9054

A= 2560641.9054 + 851502.8974607

A=$3412144.8028608$ in²

∴ The Surface Area of Pyramid length 57 yd , width 69 ft and height 70 in is 3412144.8028608 in²

or

A=($171.0 \cdot69+171.0$$\sqrt{(\frac{69}{2})^2+(5.8333333)^2}$$+69$$\sqrt{(\frac{171.0}{2})^2+(5.8333333)^2}$) ft

Simplify each term.

Multiply 171.0 ft by 69 ft

A = $11799.0+171.0$$\sqrt{(\frac{69}{2})^2+(5.8333333)^2}$$+69$$\sqrt{(\frac{171.0}{2})^2+(5.8333333)^2}$

Square root of $\sqrt{(\frac{69}{2})^2+(70)^2}$ is 34.989681

Put The values in Area Formula:

A= $11799.0+ 171.0 \cdot 34.989681+69$$\sqrt{(\frac{171.0}{2})^2+(5.8333333)^2}$

Square Root of $\sqrt{(\frac{171.0}{2})^2+(5.8333333)^2}$ is 85.6987618

Put The values in Area Formula:

A = 11799.0 + (171.0 x 34.989681) + (69 x 85.6987618)

Multiply 171.0 and 34.989681

A = 11799.0 + 5983.2354532 +(69 x 85.6987618)

Multiply 69 and 85.6987618

A= 11799.0 + 5983.2354532 + 5913.2145655

Add 11799.0 and 5983.2354532

A = 17782.2354532 + 5913.2145655

A= 23695.4500188 ft²

∴ The Surface Area of Pyramid length 57 yd , width 69 ft and height 70 in is 23695.4500188 ft²