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 96 inches is 373093.0545988 centimeters2 or 57924.039297 inches2 or 44.6944747 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 96 inches is 373093.0545988 centimeters2 or 57924.039297 inches2 or 44.6944747 yards2


    Surface Area of a Pyramid 31 cm by 14 yd by 96 in in other units

Value unit
3.7309305 km2
2.3182985 mi2
3730.930546 m2
12240.5857808 ft2
146887.0293696 in2
4080.1952603 yd2
373093.0545988 cm2
3730930.545988 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 = 96 in into the formula for surface area of a pyramid

      Unit Conversion of 96 in = 243.84 cm

96 Inches is 243.84 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: 96 in × 2.54 × cm/in

Cancel The Comman factor of in

Result in Centimeters: (96 x 2.54 cm)

Multiply 96 into 2.54

Result in Centimeters: 243.84 Centimeters

∴ 96 Inches = 243.84 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$$\sqrt{(\frac{1280.16}{2})^2+(243.84)^2}$$+1280.16$$\sqrt{(\frac{31}{2})^2+(243.84)^2}$) cm

Simplify each term.

Multiply 31 cm by 1280.16 cm

A = $39684.96+31$$\sqrt{(\frac{1280.16}{2})^2+(243.84)^2}$$+1280.16$$\sqrt{(\frac{31}{2})^2+(243.84)^2}$

Square root of $\sqrt{(\frac{1280.16}{2})^2+(243.84)^2}$ is 684.9528101

Put The values in Area Formula:

A= $39684.96+ 31 \cdot 684.9528101+1280.16$$\sqrt{(\frac{31}{2})^2+(243.84)^2}$

Square Root of $\sqrt{(\frac{31}{2})^2+(243.84)^2}$ is 243.8558911

Put The values in Area Formula:

A= 39684.96 + (31 x 684.9528101) + (1280.16 x 243.8558911)

Multiply 31 and 684.9528101

A= 39684.96 + 21233.5371117 + (1280.16 x 243.8558911)

Multiply 1280.16 and 243.8558911

A= 39684.96 + 21233.5371117 + 312174.5574871

Add 39684.96 and 21233.5371117

A= 60918.4971117 + 312174.5574871

A= 373093.0545988 cm2

∴ The Surface Area of Pyramid length 31 cm , width 14 yd and height 96 in is 373093.0545988 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$$\sqrt{(\frac{504.0}{2})^2+(96)^2}$$+504.0$$\sqrt{(\frac{12.2047244}{2})^2+(96)^2}$) in

Simplify each term.

Multiply 12.2047244 in by 504.0 in

A = $6151.1810976+12.2047244$$\sqrt{(\frac{504.0}{2})^2+(96)^2}$$+504.0$$\sqrt{(\frac{12.2047244}{2})^2+(96)^2}$

Square root of $\sqrt{(\frac{504.0}{2})^2+(96)^2}$ is 269.6664607

Put The values in Area Formula:

A= $6151.1810976+ 12.2047244 \cdot 269.6664607+504.0$$\sqrt{(\frac{12.2047244}{2})^2+(96)^2}$

Square Root of $\sqrt{(\frac{12.2047244}{2})^2+(96)^2}$ is 96.1937567

Put The values in Area Formula:

A= 6151.1810976 + (12.2047244 x 269.6664607) + (504.0 x 96.1937567)

Multiply 12.2047244 and 269.6664607

A= 6151.1810976 + 3291.2048322 + (504.0 x 96.1937567)

Multiply 504.0 and 96.1937567

A= 6151.1810976 + 3291.2048322 + 48481.6533673

Add 6151.1810976 and 3291.2048322

A= 9442.3859298 + 48481.6533673

A=$57924.039297$ in2

∴ The Surface Area of Pyramid length 31 cm , width 14 yd and height 96 in is 57924.039297 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 96 in = 2.6666667 yd

96 Inches is 2.6666667 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: 96 × in/12 × yd/in

Cancel The Comman factor of in

Result in Foot: 96/36

Divide the 96 by 36

Result in Yards: 2.6666667 yards

∴ 96 Inches = 2.6666667 yards


A=($0.3390201 \cdot14+0.3390201$$\sqrt{(\frac{14}{2})^2+(2.6666667)^2}$$+14$$\sqrt{(\frac{0.3390201}{2})^2+(2.6666667)^2}$) yd

Simplify each term.

Multiply 0.3390201 yd by 14 yd

A = $4.7462814+0.3390201$$\sqrt{(\frac{14}{2})^2+(2.6666667)^2}$$+14$$\sqrt{(\frac{0.3390201}{2})^2+(2.6666667)^2}$

Square root of $\sqrt{(\frac{14}{2})^2+(96)^2}$ is 7.490735

Put The values in Area Formula:

A= $4.7462814+ 0.3390201 \cdot 7.490735+14$$\sqrt{(\frac{0.3390201}{2})^2+(2.6666667)^2}$

Square Root of $\sqrt{(\frac{0.3390201}{2})^2+(2.6666667)^2}$ is 2.6720488

Put The values in Area Formula:

A = 4.7462814 + (0.3390201 x 7.490735) + (14 x 2.6720488)

Multiply 0.3390201 and 7.490735

A = 4.7462814 + 2.5395097 +(14 x 2.6720488)

Multiply 14 and 2.6720488

A= 4.7462814 + 2.5395097 + 37.4086836

Add 4.7462814 and 2.5395097

A = 7.2857911 + 37.4086836

A= 44.6944747 yd2

∴ The Surface Area of Pyramid length 31 cm , width 14 yd and height 96 in is 44.6944747 yd2