Created By : Abhinandan Kumar

Reviewed By : Rajashekhar Valipishetty

Last Updated : May 30, 2023


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The Surface Area of Pyramid 6 meters by width 71 yards by height 6 inches is 664.4303445 meters2 or 1207949.2512132 inches2 or 932.0619829 yards2

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 6 meters by width 71 yards by height 6 inches is 664.4303445 meters2 or 1207949.2512132 inches2 or 932.0619829 yards2


    Surface Area of a Pyramid 6 m by 71 yd by 6 in in other units

Value unit
0.6644303 km2
0.4128589 mi2
664.4303445 m2
2179.8895817 ft2
26158.6749803 in2
726.6298606 yd2
66443.03445 cm2
664430.3445 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 = 6 m, the width w = 71 yd and the height h = 6 in into the formula for surface area of a pyramid

      Unit Conversion of 6 in = 0.1524 m

6 inches is 0.1524 meters

To convert inches to meter

we know that, 1 inch = 0.0254 meters

To convert inches to meter,multiply the inches value by 0.0254.

Result in Inches: 6 in x 0.0254 × m/in

Cancel The Comman factor of m

Result in Meters: (6 x 0.0254 m)

Multiply 6 into 0.0254

Result in meters: 0.1524 meters

∴ 6 inches = 0.1524 meters

      Unit Conversion of 71 yd = 64.9224 m

71 Yard is 64.9224 meters

To convert Yard to Meter

we know that, 1 Yard = 0.9144 Meter

To convert Yards to meters, multiply the yard value by 0.9144.

Result in Meter: 71 yd × 0.9144 × m/yd

Cancel The Comman factor of yd

Result in Meters: (71 x 0.9144 m)

Multiply 71 into 0.9144

Result in Meters: 64.9224 meters

∴ 71 Yard = 64.9224 meters


A=($6 \cdot64.9224+6$$\sqrt{(\frac{64.9224}{2})^2+(0.1524)^2}$$+64.9224$$\sqrt{(\frac{6}{2})^2+(0.1524)^2}$) m

Simplify each term.

Multiply 6 m by 64.9224 m

A = $389.5344+6$$\sqrt{(\frac{64.9224}{2})^2+(0.1524)^2}$$+64.9224$$\sqrt{(\frac{6}{2})^2+(0.1524)^2}$

Square root of $\sqrt{(\frac{64.9224}{2})^2+(0.1524)^2}$ is 32.4615577

Put The values in Area Formula:

A= $389.5344+ 6 \cdot 32.4615577+64.9224$$\sqrt{(\frac{6}{2})^2+(0.1524)^2}$

Square Root of $\sqrt{(\frac{6}{2})^2+(0.1524)^2}$ is 1.2341903

Put The values in Area Formula:

A= 389.5344 + (6 x 32.4615577) + (64.9224 x 1.2341903)

Multiply 6 and 32.4615577

A= 389.5344 + 194.7693465 + (64.9224 x 1.2341903)

Multiply 64.9224 and 1.2341903

A= 389.5344 + 194.7693465 + 80.126598

Add 389.5344 and 194.7693465

A= 584.3037465 + 80.126598

A= 664.4303445 m2

∴ The Surface Area of Pyramid length 6 m , width 71 yd and height 6 in is 664.4303445 m2

or

      Unit Conversion of 71 yd = 2556.0 in

71 Yards is 2556.0 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: 71 yd x 36 × in/yd

Cancel The Comman factor of yd

Result in Inches: (71 x 36 in)

Multiply 71 into 36

Result in Inches: 2556.0 inches

∴ 71 Yards = 2556.0 inches

      Unit Conversion of 6 m = 236.22 in

6 meter is 236.22 inches

To convert Meters to Inches

we know that, 1 Meter = 39.37 Inch

To convert meter to Inch,multiply the meter value by 39.37.

Result in Inches: 6 m × 39.37 × in/m

Cancel The Comman factor of m

Result in Inches: (6 * 39.37 in)

Multiply 236.22 into 39.37

∴ 6 meter = 236.22 inches


A=($236.22 \cdot2556.0+236.22$$\sqrt{(\frac{2556.0}{2})^2+(6)^2}$$+2556.0$$\sqrt{(\frac{236.22}{2})^2+(6)^2}$) in

Simplify each term.

Multiply 236.22 in by 2556.0 in

A = $603778.32+236.22$$\sqrt{(\frac{2556.0}{2})^2+(6)^2}$$+2556.0$$\sqrt{(\frac{236.22}{2})^2+(6)^2}$

Square root of $\sqrt{(\frac{2556.0}{2})^2+(6)^2}$ is 1278.0140844

Put The values in Area Formula:

A= $603778.32+ 236.22 \cdot 1278.0140844+2556.0$$\sqrt{(\frac{236.22}{2})^2+(6)^2}$

Square Root of $\sqrt{(\frac{236.22}{2})^2+(6)^2}$ is 118.2623021

Put The values in Area Formula:

A= 603778.32 + (236.22 x 1278.0140844) + (2556.0 x 118.2623021)

Multiply 236.22 and 1278.0140844

A= 603778.32 + 301892.4870239 + (2556.0 x 118.2623021)

Multiply 2556.0 and 118.2623021

A= 603778.32 + 301892.4870239 + 302278.4441893

Add 603778.32 and 301892.4870239

A= 905670.8070239 + 302278.4441893

A=$1207949.2512132$ in2

∴ The Surface Area of Pyramid length 6 m , width 71 yd and height 6 in is 1207949.2512132 in2

or

      Unit Conversion of 6 m = 6.5616834 yd

6 Meter is 6.5616834 yards

To convert Meter to Yards

we know that, 1 Meter = 1.0936139 Yards

To convert Meter to Yards, multiply the mile value by 1.0936139

Result in Yards: 6 m × 1.0936139 × yd/m

Cancel The Comman factor of m

Result in Yards: (6 x 1.0936139 yd)

Multiply 6 into 1.0936139

Result in Yards: 6.5616834 yards

∴ 6 Meter = 6.5616834 yards

      Unit Conversion of 6 in = 0.1666667 yd

6 Inches is 0.1666667 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: 6 × in/12 × yd/in

Cancel The Comman factor of in

Result in Foot: 6/36

Divide the 6 by 36

Result in Yards: 0.1666667 yards

∴ 6 Inches = 0.1666667 yards


A=($6.5616834 \cdot71+6.5616834$$\sqrt{(\frac{71}{2})^2+(0.1666667)^2}$$+71$$\sqrt{(\frac{6.5616834}{2})^2+(0.1666667)^2}$) yd

Simplify each term.

Multiply 6.5616834 yd by 71 yd

A = $465.8795214+6.5616834$$\sqrt{(\frac{71}{2})^2+(0.1666667)^2}$$+71$$\sqrt{(\frac{6.5616834}{2})^2+(0.1666667)^2}$

Square root of $\sqrt{(\frac{71}{2})^2+(6)^2}$ is 35.5003912

Put The values in Area Formula:

A= $465.8795214+ 6.5616834 \cdot 35.5003912+71$$\sqrt{(\frac{6.5616834}{2})^2+(0.1666667)^2}$

Square Root of $\sqrt{(\frac{6.5616834}{2})^2+(0.1666667)^2}$ is 3.2850723

Put The values in Area Formula:

A = 465.8795214 + (6.5616834 x 35.5003912) + (71 x 3.2850723)

Multiply 6.5616834 and 35.5003912

A = 465.8795214 + 232.9423279 +(71 x 3.2850723)

Multiply 71 and 3.2850723

A= 465.8795214 + 232.9423279 + 233.2401337

Add 465.8795214 and 232.9423279

A = 698.8218493 + 233.2401337

A= 932.0619829 yd2

∴ The Surface Area of Pyramid length 6 m , width 71 yd and height 6 in is 932.0619829 yd2