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 70 inches is 2073.4682982 yards2 or 3412144.8028608 inches2 or 23695.4500188 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 70 inches is 2073.4682982 yards2 or 3412144.8028608 inches2 or 23695.4500188 foot2


    Surface Area of a Pyramid 57 yd by 69 ft by 70 in in other units

Value unit
1.8959794 km2
1.1781099 mi2
1895.9794119 m2
6220.4048946 ft2
74644.8587352 in2
2073.4682982 yd2
189597.9411874 cm2
1895979.4118741 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 = 70 in into the formula for surface area of a pyramid

      Unit Conversion of 70 in = 1.9444444 yd

70 Inches is 1.9444444 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: 70 × in/12 × yd/in

Cancel The Comman factor of in

Result in Foot: 70/36

Divide the 70 by 36

Result in Yards: 1.9444444 yards

∴ 70 Inches = 1.9444444 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$$\sqrt{(\frac{23.0}{2})^2+(1.9444444)^2}$$+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

      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$$\sqrt{(\frac{828.0}{2})^2+(70)^2}$$+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

      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 70 in = 5.8333333 ft

70 Inches is 5.8333333 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: 70 × in/12 × ft/in

Cancel The Comman factor of in

Result in Feet: $70\above 1pt12$

Divide the 70 by 12

Result in Feet: 5.8333333 feet

∴ 70 Inches = 5.8333333 feet


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