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 75 inches is 2076.3373287 yards2 or 3414206.3943209 inches2 or 23709.7666272 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 75 inches is 2076.3373287 yards2 or 3414206.3943209 inches2 or 23709.7666272 foot2


    Surface Area of a Pyramid 57 yd by 69 ft by 75 in in other units

Value unit
1.8986029 km2
1.1797401 mi2
1898.6028534 m2
6229.0119861 ft2
74748.1438332 in2
2076.3373287 yd2
189860.2853363 cm2
1898602.8533633 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 = 75 in into the formula for surface area of a pyramid

      Unit Conversion of 75 in = 2.0833333 yd

75 Inches is 2.0833333 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: 75 × in/12 × yd/in

Cancel The Comman factor of in

Result in Foot: 75/36

Divide the 75 by 36

Result in Yards: 2.0833333 yards

∴ 75 Inches = 2.0833333 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$$\sqrt{(\frac{23.0}{2})^2+(2.0833333)^2}$$+23.0$$\sqrt{(\frac{57}{2})^2+(2.0833333)^2}$) yd

Simplify each term.

Multiply 57 yd by 23.0 yd

A = $1311.0+57$$\sqrt{(\frac{23.0}{2})^2+(2.0833333)^2}$$+23.0$$\sqrt{(\frac{57}{2})^2+(2.0833333)^2}$

Square root of $\sqrt{(\frac{23.0}{2})^2+(2.0833333)^2}$ is 11.6871843

Put The values in Area Formula:

A= $1311.0+ 57 \cdot 11.6871843+23.0$$\sqrt{(\frac{57}{2})^2+(2.0833333)^2}$

Square Root of $\sqrt{(\frac{57}{2})^2+(2.0833333)^2}$ is 4.3116444

Put The values in Area Formula:

A= 1311.0 + (57 x 11.6871843) + (23.0 x 4.3116444)

Multiply 57 and 11.6871843

A= 1311.0 + 666.169507 + (23.0 x 4.3116444)

Multiply 23.0 and 4.3116444

A= 1311.0 + 666.169507 + 99.1678218

Add 1311.0 and 666.169507

A= 1977.169507 + 99.1678218

A= 2076.3373287 yd2

∴ The Surface Area of Pyramid length 57 yd , width 69 ft and height 75 in is 2076.3373287 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$$\sqrt{(\frac{828.0}{2})^2+(75)^2}$$+828.0$$\sqrt{(\frac{2052.0}{2})^2+(75)^2}$) in

Simplify each term.

Multiply 2052.0 in by 828.0 in

A = $1699056.0+2052.0$$\sqrt{(\frac{828.0}{2})^2+(75)^2}$$+828.0$$\sqrt{(\frac{2052.0}{2})^2+(75)^2}$

Square root of $\sqrt{(\frac{828.0}{2})^2+(75)^2}$ is 420.7386362

Put The values in Area Formula:

A= $1699056.0+ 2052.0 \cdot 420.7386362+828.0$$\sqrt{(\frac{2052.0}{2})^2+(75)^2}$

Square Root of $\sqrt{(\frac{2052.0}{2})^2+(75)^2}$ is 1028.7375759

Put The values in Area Formula:

A= 1699056.0 + (2052.0 x 420.7386362) + (828.0 x 1028.7375759)

Multiply 2052.0 and 420.7386362

A= 1699056.0 + 863355.6815033 + (828.0 x 1028.7375759)

Multiply 828.0 and 1028.7375759

A= 1699056.0 + 863355.6815033 + 851794.7128176

Add 1699056.0 and 863355.6815033

A= 2562411.6815033 + 851794.7128176

A=$3414206.3943209$ in2

∴ The Surface Area of Pyramid length 57 yd , width 69 ft and height 75 in is 3414206.3943209 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 75 in = 6.25 ft

75 Inches is 6.25 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: 75 × in/12 × ft/in

Cancel The Comman factor of in

Result in Feet: $75\above 1pt12$

Divide the 75 by 12

Result in Feet: 6.25 feet

∴ 75 Inches = 6.25 feet


A=($171.0 \cdot69+171.0$$\sqrt{(\frac{69}{2})^2+(6.25)^2}$$+69$$\sqrt{(\frac{171.0}{2})^2+(6.25)^2}$) ft

Simplify each term.

Multiply 171.0 ft by 69 ft

A = $11799.0+171.0$$\sqrt{(\frac{69}{2})^2+(6.25)^2}$$+69$$\sqrt{(\frac{171.0}{2})^2+(6.25)^2}$

Square root of $\sqrt{(\frac{69}{2})^2+(75)^2}$ is 35.061553

Put The values in Area Formula:

A= $11799.0+ 171.0 \cdot 35.061553+69$$\sqrt{(\frac{171.0}{2})^2+(6.25)^2}$

Square Root of $\sqrt{(\frac{171.0}{2})^2+(6.25)^2}$ is 85.7281313

Put The values in Area Formula:

A = 11799.0 + (171.0 x 35.061553) + (69 x 85.7281313)

Multiply 171.0 and 35.061553

A = 11799.0 + 5995.525566 +(69 x 85.7281313)

Multiply 69 and 85.7281313

A= 11799.0 + 5995.525566 + 5915.2410612

Add 11799.0 and 5995.525566

A = 17794.525566 + 5915.2410612

A= 23709.7666272 ft2

∴ The Surface Area of Pyramid length 57 yd , width 69 ft and height 75 in is 23709.7666272 ft2