Created By : Abhinandan Kumar

Reviewed By : Rajashekhar Valipishetty

Last Updated : May 30, 2023


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The Surface Area of Pyramid 31 centimeters by width 14 yards by height 99 inches is 382932.4934745 centimeters2 or 59446.2974182 inches2 or 45.8690562 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 31 centimeters by width 14 yards by height 99 inches is 382932.4934745 centimeters2 or 59446.2974182 inches2 or 45.8690562 yards2


    Surface Area of a Pyramid 31 cm by 14 yd by 99 in in other units

Value unit
3.8293249 km2
2.3794381 mi2
3829.3249347 m2
12563.4020169 ft2
150760.8242026 in2
4187.8006723 yd2
382932.4934745 cm2
3829324.934745 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 = 31 cm, the width w = 14 yd and the height h = 99 in into the formula for surface area of a pyramid

      Unit Conversion of 99 in = 251.46 cm

99 Inches is 251.46 Centimeters

To convert Inches to Centimeters

we know that, 1 Inche = 2.54 Centimeters

To convert Inches to Centimeters, multiply the inche value by 2.54

Result in Centimeters: 99 in × 2.54 × cm/in

Cancel The Comman factor of in

Result in Centimeters: (99 x 2.54 cm)

Multiply 99 into 2.54

Result in Centimeters: 251.46 Centimeters

∴ 99 Inches = 251.46 Centimeters

      Unit Conversion of 14 yd = 1280.16 cm

14 Yards is 1280.16 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: 14 yd x 91.44 × cm/yd

Cancel The Comman factor of yd

Result in Centimeters: (14 x 91.44 cm)

Multiply 14 into 91.44

Result in Centimeters: 1280.16 Centimeters

∴ 14 Yards = 1280.16 Centimeters


A=($31 \cdot1280.16+31$$\sqrt{(\frac{1280.16}{2})^2+(251.46)^2}$$+1280.16$$\sqrt{(\frac{31}{2})^2+(251.46)^2}$) cm

Simplify each term.

Multiply 31 cm by 1280.16 cm

A = $39684.96+31$$\sqrt{(\frac{1280.16}{2})^2+(251.46)^2}$$+1280.16$$\sqrt{(\frac{31}{2})^2+(251.46)^2}$

Square root of $\sqrt{(\frac{1280.16}{2})^2+(251.46)^2}$ is 687.7023615

Put The values in Area Formula:

A= $39684.96+ 31 \cdot 687.7023615+1280.16$$\sqrt{(\frac{31}{2})^2+(251.46)^2}$

Square Root of $\sqrt{(\frac{31}{2})^2+(251.46)^2}$ is 251.4754095

Put The values in Area Formula:

A= 39684.96 + (31 x 687.7023615) + (1280.16 x 251.4754095)

Multiply 31 and 687.7023615

A= 39684.96 + 21318.7732062 + (1280.16 x 251.4754095)

Multiply 1280.16 and 251.4754095

A= 39684.96 + 21318.7732062 + 321928.7602683

Add 39684.96 and 21318.7732062

A= 61003.7332062 + 321928.7602683

A= 382932.4934745 cm2

∴ The Surface Area of Pyramid length 31 cm , width 14 yd and height 99 in is 382932.4934745 cm2

or

      Unit Conversion of 14 yd = 504.0 in

14 Yards is 504.0 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: 14 yd x 36 × in/yd

Cancel The Comman factor of yd

Result in Inches: (14 x 36 in)

Multiply 14 into 36

Result in Inches: 504.0 inches

∴ 14 Yards = 504.0 inches

      Unit Conversion of 31 cm = 12.2047244 in

31 Centimeters is 12.2047244 inches

To convert Centimeter to Inches

we know that, 1 Centimeter = 0.393705 inches or
                         1 Centimeter = 1/2.54 inches

To convert Centimeters to inches, divide the centimeter value by 2.54.

Result in Centimeters: 31 × cm/2.54 × in/cm

Cancel The Comman factor of cm

Result in Inches: 31/2.54 in

Divide the 31 by 2.54

Result in Inches: 12.2047244 inches

∴ 31 Centimeters = 12.2047244 inches


A=($12.2047244 \cdot504.0+12.2047244$$\sqrt{(\frac{504.0}{2})^2+(99)^2}$$+504.0$$\sqrt{(\frac{12.2047244}{2})^2+(99)^2}$) in

Simplify each term.

Multiply 12.2047244 in by 504.0 in

A = $6151.1810976+12.2047244$$\sqrt{(\frac{504.0}{2})^2+(99)^2}$$+504.0$$\sqrt{(\frac{12.2047244}{2})^2+(99)^2}$

Square root of $\sqrt{(\frac{504.0}{2})^2+(99)^2}$ is 270.7489612

Put The values in Area Formula:

A= $6151.1810976+ 12.2047244 \cdot 270.7489612+504.0$$\sqrt{(\frac{12.2047244}{2})^2+(99)^2}$

Square Root of $\sqrt{(\frac{12.2047244}{2})^2+(99)^2}$ is 99.1878966

Put The values in Area Formula:

A= 6151.1810976 + (12.2047244 x 270.7489612) + (504.0 x 99.1878966)

Multiply 12.2047244 and 270.7489612

A= 6151.1810976 + 3304.4164532 + (504.0 x 99.1878966)

Multiply 504.0 and 99.1878966

A= 6151.1810976 + 3304.4164532 + 49990.6998673

Add 6151.1810976 and 3304.4164532

A= 9455.5975508 + 49990.6998673

A=$59446.2974182$ in2

∴ The Surface Area of Pyramid length 31 cm , width 14 yd and height 99 in is 59446.2974182 in2

or

      Unit Conversion of 31 cm = 0.3390201 yd

31 Centimeter is 0.3390201 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: 31 × cm/91.44 × yd/cm

Cancel The Comman factor of cm

Result in Yards: 31/91.44 yd

Divide 31 by 91.44

Result in Yards: 0.3390201 yards

∴ 31 Centimeter = 0.3390201 yards

      Unit Conversion of 99 in = 2.75 yd

99 Inches is 2.75 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: 99 × in/12 × yd/in

Cancel The Comman factor of in

Result in Foot: 99/36

Divide the 99 by 36

Result in Yards: 2.75 yards

∴ 99 Inches = 2.75 yards


A=($0.3390201 \cdot14+0.3390201$$\sqrt{(\frac{14}{2})^2+(2.75)^2}$$+14$$\sqrt{(\frac{0.3390201}{2})^2+(2.75)^2}$) yd

Simplify each term.

Multiply 0.3390201 yd by 14 yd

A = $4.7462814+0.3390201$$\sqrt{(\frac{14}{2})^2+(2.75)^2}$$+14$$\sqrt{(\frac{0.3390201}{2})^2+(2.75)^2}$

Square root of $\sqrt{(\frac{14}{2})^2+(99)^2}$ is 7.5208045

Put The values in Area Formula:

A= $4.7462814+ 0.3390201 \cdot 7.5208045+14$$\sqrt{(\frac{0.3390201}{2})^2+(2.75)^2}$

Square Root of $\sqrt{(\frac{0.3390201}{2})^2+(2.75)^2}$ is 2.7552193

Put The values in Area Formula:

A = 4.7462814 + (0.3390201 x 7.5208045) + (14 x 2.7552193)

Multiply 0.3390201 and 7.5208045

A = 4.7462814 + 2.5497039 +(14 x 2.7552193)

Multiply 14 and 2.7552193

A= 4.7462814 + 2.5497039 + 38.5730709

Add 4.7462814 and 2.5497039

A = 7.2959853 + 38.5730709

A= 45.8690562 yd2

∴ The Surface Area of Pyramid length 31 cm , width 14 yd and height 99 in is 45.8690562 yd2