Created By : Abhinandan Kumar

Reviewed By : Rajashekhar Valipishetty

Last Updated : May 30, 2023


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The Surface Area of Pyramid 3 meters by width 71 yards by height 6 inches is 349.2402538 meters2 or 604557.0536723 inches2 or 466.4803949 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 3 meters by width 71 yards by height 6 inches is 349.2402538 meters2 or 604557.0536723 inches2 or 466.4803949 yards2


    Surface Area of a Pyramid 3 m by 71 yd by 6 in in other units

Value unit
0.3492403 km2
0.2170084 mi2
349.2402538 m2
1145.8013576 ft2
13749.6162913 in2
381.9337859 yd2
34924.02538 cm2
349240.2538 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 = 3 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=($3 \cdot64.9224+3$$\sqrt{(\frac{64.9224}{2})^2+(0.1524)^2}$$+64.9224$$\sqrt{(\frac{3}{2})^2+(0.1524)^2}$) m

Simplify each term.

Multiply 3 m by 64.9224 m

A = $194.7672+3$$\sqrt{(\frac{64.9224}{2})^2+(0.1524)^2}$$+64.9224$$\sqrt{(\frac{3}{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= $194.7672+ 3 \cdot 32.4615577+64.9224$$\sqrt{(\frac{3}{2})^2+(0.1524)^2}$

Square Root of $\sqrt{(\frac{3}{2})^2+(0.1524)^2}$ is 0.8793326

Put The values in Area Formula:

A= 194.7672 + (3 x 32.4615577) + (64.9224 x 0.8793326)

Multiply 3 and 32.4615577

A= 194.7672 + 97.3846732 + (64.9224 x 0.8793326)

Multiply 64.9224 and 0.8793326

A= 194.7672 + 97.3846732 + 57.0883805

Add 194.7672 and 97.3846732

A= 292.1518732 + 57.0883805

A= 349.2402538 m2

∴ The Surface Area of Pyramid length 3 m , width 71 yd and height 6 in is 349.2402538 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 3 m = 118.11 in

3 meter is 118.11 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: 3 m × 39.37 × in/m

Cancel The Comman factor of m

Result in Inches: (3 * 39.37 in)

Multiply 118.11 into 39.37

∴ 3 meter = 118.11 inches


A=($118.11 \cdot2556.0+118.11$$\sqrt{(\frac{2556.0}{2})^2+(6)^2}$$+2556.0$$\sqrt{(\frac{118.11}{2})^2+(6)^2}$) in

Simplify each term.

Multiply 118.11 in by 2556.0 in

A = $301889.16+118.11$$\sqrt{(\frac{2556.0}{2})^2+(6)^2}$$+2556.0$$\sqrt{(\frac{118.11}{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= $301889.16+ 118.11 \cdot 1278.0140844+2556.0$$\sqrt{(\frac{118.11}{2})^2+(6)^2}$

Square Root of $\sqrt{(\frac{118.11}{2})^2+(6)^2}$ is 59.3590181

Put The values in Area Formula:

A= 301889.16 + (118.11 x 1278.0140844) + (2556.0 x 59.3590181)

Multiply 118.11 and 1278.0140844

A= 301889.16 + 150946.243512 + (2556.0 x 59.3590181)

Multiply 2556.0 and 59.3590181

A= 301889.16 + 150946.243512 + 151721.6501603

Add 301889.16 and 150946.243512

A= 452835.403512 + 151721.6501603

A=$604557.0536723$ in2

∴ The Surface Area of Pyramid length 3 m , width 71 yd and height 6 in is 604557.0536723 in2

or

      Unit Conversion of 3 m = 3.2808417 yd

3 Meter is 3.2808417 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: 3 m × 1.0936139 × yd/m

Cancel The Comman factor of m

Result in Yards: (3 x 1.0936139 yd)

Multiply 3 into 1.0936139

Result in Yards: 3.2808417 yards

∴ 3 Meter = 3.2808417 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=($3.2808417 \cdot71+3.2808417$$\sqrt{(\frac{71}{2})^2+(0.1666667)^2}$$+71$$\sqrt{(\frac{3.2808417}{2})^2+(0.1666667)^2}$) yd

Simplify each term.

Multiply 3.2808417 yd by 71 yd

A = $232.9397607+3.2808417$$\sqrt{(\frac{71}{2})^2+(0.1666667)^2}$$+71$$\sqrt{(\frac{3.2808417}{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= $232.9397607+ 3.2808417 \cdot 35.5003912+71$$\sqrt{(\frac{3.2808417}{2})^2+(0.1666667)^2}$

Square Root of $\sqrt{(\frac{3.2808417}{2})^2+(0.1666667)^2}$ is 1.6488658

Put The values in Area Formula:

A = 232.9397607 + (3.2808417 x 35.5003912) + (71 x 1.6488658)

Multiply 3.2808417 and 35.5003912

A = 232.9397607 + 116.4711639 +(71 x 1.6488658)

Multiply 71 and 1.6488658

A= 232.9397607 + 116.4711639 + 117.0694702

Add 232.9397607 and 116.4711639

A = 349.4109246 + 117.0694702

A= 466.4803949 yd2

∴ The Surface Area of Pyramid length 3 m , width 71 yd and height 6 in is 466.4803949 yd2