Created By : Abhinandan Kumar

Reviewed By : Rajashekhar Valipishetty

Last Updated : May 30, 2023


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The Surface Area of Pyramid 57 yards by width 69 foot by height 74 inches is 2075.7497905 yards2 or 3413783.0061941 inches2 or 23706.8264331 foot2

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 74 inches is 2075.7497905 yards2 or 3413783.0061941 inches2 or 23706.8264331 foot2


    Surface Area of a Pyramid 57 yd by 69 ft by 74 in in other units

Value unit
1.8980656 km2
1.1794062 mi2
1898.0656084 m2
6227.2493715 ft2
74726.992458 in2
2075.7497905 yd2
189806.5608433 cm2
1898065.6084332 mm2

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 = 74 in into the formula for surface area of a pyramid

      Unit Conversion of 74 in = 2.0555556 yd

74 Inches is 2.0555556 yards

To convert Inche to Yards

we know that, 1 Inche = 0.02778 Yards or
                         1 Inche = 1/36 Yards

To convert Inche to Yards, divide the inche value by 36

Result in Foot: 74 × in/12 × yd/in

Cancel The Comman factor of in

Result in Foot: 74/36

Divide the 74 by 36

Result in Yards: 2.0555556 yards

∴ 74 Inches = 2.0555556 yards

      Unit Conversion of 69 ft = 23.0 yd

69 Feet is 23.0 yards

To convert Feet to Yards

we know that, 1 Foot = 0.333333 or
                        1 Foot = 1/3 Yards

To convert Feet to Yards, divide the feet value by 3

Result in Yards: 69 × ft/yd × ft/yd

Cancel The Comman factor of ft

Result in Yards: 69/3 yd

Divide the 69 by 3

Result in Yards: 23.0 yards

∴ 69 Feet = 23.0 yards


A=($57 \cdot23.0+57$$\sqrt{(\frac{23.0}{2})^2+(2.0555556)^2}$$+23.0$$\sqrt{(\frac{57}{2})^2+(2.0555556)^2}$) yd

Simplify each term.

Multiply 57 yd by 23.0 yd

A = $1311.0+57$$\sqrt{(\frac{23.0}{2})^2+(2.0555556)^2}$$+23.0$$\sqrt{(\frac{57}{2})^2+(2.0555556)^2}$

Square root of $\sqrt{(\frac{23.0}{2})^2+(2.0555556)^2}$ is 11.6822647

Put The values in Area Formula:

A= $1311.0+ 57 \cdot 11.6822647+23.0$$\sqrt{(\frac{57}{2})^2+(2.0555556)^2}$

Square Root of $\sqrt{(\frac{57}{2})^2+(2.0555556)^2}$ is 4.2982914

Put The values in Area Formula:

A= 1311.0 + (57 x 11.6822647) + (23.0 x 4.2982914)

Multiply 57 and 11.6822647

A= 1311.0 + 665.8890886 + (23.0 x 4.2982914)

Multiply 23.0 and 4.2982914

A= 1311.0 + 665.8890886 + 98.8607018

Add 1311.0 and 665.8890886

A= 1976.8890886 + 98.8607018

A= 2075.7497905 yd2

∴ The Surface Area of Pyramid length 57 yd , width 69 ft and height 74 in is 2075.7497905 yd2

or

      Unit Conversion of 69 ft = 828.0 in

69 Foot is 828.0 inches

To convert Foot to Inches

we know that, 1 Foot = 12 inches

To convert Foot to inches, multiply the foot value by 12.

Result in Foot: 69 ft × 12 × in/ft

Cancel The Comman factor of ft

Result in Inches: (69 x 12 in)

Multiply 69 into 12

Result in Inches: 828.0 inches

∴ 69 Foot = 828.0 inches

      Unit Conversion of 57 yd = 2052.0 in

57 Yards is 2052.0 inches

To convert Yard to Inches

we know that, 1 Yard = 36 inches

To convert Yard to inches, multiply the yard value by 36.

Result in Yards: 57 yd x 36 × in/yd

Cancel The Comman factor of yd

Result in Inches: (57 x 36 in)

Multiply 57 into 36

Result in Inches: 2052.0 inches

∴ 57 Yards = 2052.0 inches


A=($2052.0 \cdot828.0+2052.0$$\sqrt{(\frac{828.0}{2})^2+(74)^2}$$+828.0$$\sqrt{(\frac{2052.0}{2})^2+(74)^2}$) in

Simplify each term.

Multiply 2052.0 in by 828.0 in

A = $1699056.0+2052.0$$\sqrt{(\frac{828.0}{2})^2+(74)^2}$$+828.0$$\sqrt{(\frac{2052.0}{2})^2+(74)^2}$

Square root of $\sqrt{(\frac{828.0}{2})^2+(74)^2}$ is 420.5615294

Put The values in Area Formula:

A= $1699056.0+ 2052.0 \cdot 420.5615294+828.0$$\sqrt{(\frac{2052.0}{2})^2+(74)^2}$

Square Root of $\sqrt{(\frac{2052.0}{2})^2+(74)^2}$ is 1028.6651545

Put The values in Area Formula:

A= 1699056.0 + (2052.0 x 420.5615294) + (828.0 x 1028.6651545)

Multiply 2052.0 and 420.5615294

A= 1699056.0 + 862992.2583013 + (828.0 x 1028.6651545)

Multiply 828.0 and 1028.6651545

A= 1699056.0 + 862992.2583013 + 851734.7478928

Add 1699056.0 and 862992.2583013

A= 2562048.2583013 + 851734.7478928

A=$3413783.0061941$ in2

∴ The Surface Area of Pyramid length 57 yd , width 69 ft and height 74 in is 3413783.0061941 in2

or

      Unit Conversion of 57 yd = 171.0 ft

57 Yards is 171.0 foots

To convert Yards to Foot

we know that, 1 Yards = 3 Feet

To convert Yards to Foot, multiply the yard value by 3.

Result in Feet: 57 yd x 3 × ft/yd

Cancel The Comman factor of yd

Result in Feet: (57 x 3 ft)

Multiply 57 into 3

Result in Feet: 171.0 feets

∴ 57 Yards = 171.0 foots

      Unit Conversion of 74 in = 6.1666667 ft

74 Inches is 6.1666667 feet

To convert Inches to Feet

we know that, 1 Inches = 0.0833333 Feet or
                         1 Foot = 1/12 foot

To convert Inches to Feet, divide the inche value by 12.

Result in Foot: 74 × in/12 × ft/in

Cancel The Comman factor of in

Result in Feet: $74\above 1pt12$

Divide the 74 by 12

Result in Feet: 6.1666667 feet

∴ 74 Inches = 6.1666667 feet


A=($171.0 \cdot69+171.0$$\sqrt{(\frac{69}{2})^2+(6.1666667)^2}$$+69$$\sqrt{(\frac{171.0}{2})^2+(6.1666667)^2}$) ft

Simplify each term.

Multiply 171.0 ft by 69 ft

A = $11799.0+171.0$$\sqrt{(\frac{69}{2})^2+(6.1666667)^2}$$+69$$\sqrt{(\frac{171.0}{2})^2+(6.1666667)^2}$

Square root of $\sqrt{(\frac{69}{2})^2+(74)^2}$ is 35.0467941

Put The values in Area Formula:

A= $11799.0+ 171.0 \cdot 35.0467941+69$$\sqrt{(\frac{171.0}{2})^2+(6.1666667)^2}$

Square Root of $\sqrt{(\frac{171.0}{2})^2+(6.1666667)^2}$ is 85.7220962

Put The values in Area Formula:

A = 11799.0 + (171.0 x 35.0467941) + (69 x 85.7220962)

Multiply 171.0 and 35.0467941

A = 11799.0 + 5993.0017948 +(69 x 85.7220962)

Multiply 69 and 85.7220962

A= 11799.0 + 5993.0017948 + 5914.8246383

Add 11799.0 and 5993.0017948

A = 17792.0017948 + 5914.8246383

A= 23706.8264331 ft2

∴ The Surface Area of Pyramid length 57 yd , width 69 ft and height 74 in is 23706.8264331 ft2