Created By : Abhinandan Kumar

Reviewed By : Rajashekhar Valipishetty

Last Updated : May 30, 2023


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The Surface Area of Pyramid 7 yards by width 4 centimeters by height 6 meters is 46.5310633 yards2 or 38.9330529 meters2 or 389330.5288919 centimeters2

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 7 yards by width 4 centimeters by height 6 meters is 46.5310633 yards2 or 38.9330529 meters2 or 389330.5288919 centimeters2


    Surface Area of a Pyramid 7 yd by 4 cm by 6 m in other units

Value unit
0.042548 km2
0.0264382 mi2
42.5480043 m2
139.5931899 ft2
1675.1182788 in2
46.5310633 yd2
4254.8004282 cm2
42548.0042815 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 = 7 yd, the width w = 4 cm and the height h = 6 m into the formula for surface area of a pyramid

      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 4 cm = 0.0437445 yd

4 Centimeter is 0.0437445 yards

To convert Centimeter to Yards

we know that, 1 Centimeter = 0.0109361 Yards or
                         1 Centimeter = 1/91.44 Yard

To convert Centimeter to Yards, divide the yards value by 91.44

Result in Yards: 4 × cm/91.44 × yd/cm

Cancel The Comman factor of cm

Result in Yards: 4/91.44 yd

Divide 4 by 91.44

Result in Yards: 0.0437445 yards

∴ 4 Centimeter = 0.0437445 yards


A=($7 \cdot0.0437445+7$$\sqrt{(\frac{0.0437445}{2})^2+(6.5616834)^2}$$+0.0437445$$\sqrt{(\frac{7}{2})^2+(6.5616834)^2}$) yd

Simplify each term.

Multiply 7 yd by 0.0437445 yd

A = $0.3062115+7$$\sqrt{(\frac{0.0437445}{2})^2+(6.5616834)^2}$$+0.0437445$$\sqrt{(\frac{7}{2})^2+(6.5616834)^2}$

Square root of $\sqrt{(\frac{0.0437445}{2})^2+(6.5616834)^2}$ is 6.5617199

Put The values in Area Formula:

A= $0.3062115+ 7 \cdot 6.5617199+0.0437445$$\sqrt{(\frac{7}{2})^2+(6.5616834)^2}$

Square Root of $\sqrt{(\frac{7}{2})^2+(6.5616834)^2}$ is 6.6937052

Put The values in Area Formula:

A= 0.3062115 + (7 x 6.5617199) + (0.0437445 x 6.6937052)

Multiply 7 and 6.5617199

A= 0.3062115 + 45.932039 + (0.0437445 x 6.6937052)

Multiply 0.0437445 and 6.6937052

A= 0.3062115 + 45.932039 + 0.2928128

Add 0.3062115 and 45.932039

A= 46.2382505 + 0.2928128

A= 46.5310633 yd2

∴ The Surface Area of Pyramid length 7 yd , width 4 cm and height 6 m is 46.5310633 yd2

or

      Unit Conversion of 4 cm = 0.04 m

4 Centimeters is 0.04 meters

To convert Centimeter to Meter

we know that, 1 Centimeter = 0.01 Meter or
                         1 Centimeter = 1/100 Meter

To convert Centimeters to meters, divide the centimeter value by 100 .

Result in Meter: 4 × cm/m × cm/m

Cancel The Comman factor of cm

Result in Meters: 4/m

Divide the 4 by 100

Result in Meters: 0.04 meters

∴ 4 Centimeters = 0.04 meters

      Unit Conversion of 7 yd = 6.4008 m

7 Yard is 6.4008 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: 7 yd × 0.9144 × m/yd

Cancel The Comman factor of yd

Result in Meters: (7 x 0.9144 m)

Multiply 7 into 0.9144

Result in Meters: 6.4008 meters

∴ 7 Yard = 6.4008 meters


A=($6.4008 \cdot0.04+6.4008$$\sqrt{(\frac{0.04}{2})^2+(6)^2}$$+0.04$$\sqrt{(\frac{6.4008}{2})^2+(6)^2}$) m

Simplify each term.

Multiply 6.4008 m by 0.04 m

A = $0.256032+6.4008$$\sqrt{(\frac{0.04}{2})^2+(6)^2}$$+0.04$$\sqrt{(\frac{6.4008}{2})^2+(6)^2}$

Square root of $\sqrt{(\frac{0.04}{2})^2+(6)^2}$ is 6.0000333

Put The values in Area Formula:

A= $0.256032+ 6.4008 \cdot 6.0000333+0.04$$\sqrt{(\frac{6.4008}{2})^2+(6)^2}$

Square Root of $\sqrt{(\frac{6.4008}{2})^2+(6)^2}$ is 6.8001882

Put The values in Area Formula:

A= 0.256032 + (6.4008 x 6.0000333) + (0.04 x 6.8001882)

Multiply 6.4008 and 6.0000333

A= 0.256032 + 38.4050134 + (0.04 x 6.8001882)

Multiply 0.04 and 6.8001882

A= 0.256032 + 38.4050134 + 0.2720075

Add 0.256032 and 38.4050134

A= 38.6610454 + 0.2720075

A=$38.9330529$ m2

∴ The Surface Area of Pyramid length 7 yd , width 4 cm and height 6 m is 38.9330529 m2

or

      Unit Conversion of 7 yd = 640.08 cm

7 Yards is 640.08 Centimeters

To convert Yard to Centimeters

we know that, 1 Yard = 91.44 Centimeters

To convert Yards to Centimeters, multiply the yard value by 91.44

Result in Centimeters: 7 yd x 91.44 × cm/yd

Cancel The Comman factor of yd

Result in Centimeters: (7 x 91.44 cm)

Multiply 7 into 91.44

Result in Centimeters: 640.08 Centimeters

∴ 7 Yards = 640.08 Centimeters

      Unit Conversion of 6 m = 600.0 cm

6 Meters is 600.0 Centimeters

To convert Meter to Centimeters

we know that, 1 Meter = 100 Centimeters

To convert Meter to Centimeters, multiply the kilometer value by 100

Result in Centimeters: 6 m × 100 × cm/m

Cancel The Comman factor of m

Result in Centimeters: (6 x 100 cm)

Multiply 6 into 100

Result in Centimeters: 600.0 Centimeters

∴ 6 Meters = 600.0 Centimeters


A=($640.08 \cdot4+640.08$$\sqrt{(\frac{4}{2})^2+(600.0)^2}$$+4$$\sqrt{(\frac{640.08}{2})^2+(600.0)^2}$) cm

Simplify each term.

Multiply 640.08 cm by 4 cm

A = $2560.32+640.08$$\sqrt{(\frac{4}{2})^2+(600.0)^2}$$+4$$\sqrt{(\frac{640.08}{2})^2+(600.0)^2}$

Square root of $\sqrt{(\frac{4}{2})^2+(6)^2}$ is 600.0033333

Put The values in Area Formula:

A= $2560.32+ 640.08 \cdot 600.0033333+4$$\sqrt{(\frac{640.08}{2})^2+(600.0)^2}$

Square Root of $\sqrt{(\frac{640.08}{2})^2+(600.0)^2}$ is 680.0188244

Put The values in Area Formula:

A = 2560.32 + (640.08 x 600.0033333) + (4 x 680.0188244)

Multiply 640.08 and 600.0033333

A = 2560.32 + 384050.1335941 +(4 x 680.0188244)

Multiply 4 and 680.0188244

A= 2560.32 + 384050.1335941 + 2720.0752978

Add 2560.32 and 384050.1335941

A = 386610.4535941 + 2720.0752978

A= 389330.5288919 cm2

∴ The Surface Area of Pyramid length 7 yd , width 4 cm and height 6 m is 389330.5288919 cm2