Created By : Abhinandan Kumar

Reviewed By : Rajashekhar Valipishetty

Last Updated : May 30, 2023


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The Surface Area of Pyramid 12 centimeters by width 46 foot by height 2 inches is 32762.847715 centimeters2 or 5620.373147 inches2 or 39.0303715 foot2

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 12 centimeters by width 46 foot by height 2 inches is 32762.847715 centimeters2 or 5620.373147 inches2 or 39.0303715 foot2


    Surface Area of a Pyramid 12 cm by 46 ft by 2 in in other units

Value unit
0.3276285 km2
0.2035794 mi2
327.6284771 m2
1074.8965786 ft2
12898.7589429 in2
358.2988595 yd2
32762.847715 cm2
327628.47715 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 = 12 cm, the width w = 46 ft and the height h = 2 in into the formula for surface area of a pyramid

      Unit Conversion of 2 in = 5.08 cm

2 Inches is 5.08 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: 2 in × 2.54 × cm/in

Cancel The Comman factor of in

Result in Centimeters: (2 x 2.54 cm)

Multiply 2 into 2.54

Result in Centimeters: 5.08 Centimeters

∴ 2 Inches = 5.08 Centimeters

      Unit Conversion of 46 ft = 1402.08 cm

46 Foot is 1402.08 Centimeters

To convert Foot to Centimeters

we know that, 1 Foot = 30.480 Centimeters

To convert Foot to Centimeters, multiply the foot value by 30.480

Result in Centimeters: 46 ft × 30.480 × cm/ft

Cancel The Comman factor of ft

Result in Centimeters: (46 x 30.480 cm)

Multiply 46 into 30.480

Result in Centimeters: 1402.08 Centimeters

∴ 46 Foot = 1402.08 Centimeters


A=($12 \cdot1402.08+12$$\sqrt{(\frac{1402.08}{2})^2+(5.08)^2}$$+1402.08$$\sqrt{(\frac{12}{2})^2+(5.08)^2}$) cm

Simplify each term.

Multiply 12 cm by 1402.08 cm

A = $16824.96+12$$\sqrt{(\frac{1402.08}{2})^2+(5.08)^2}$$+1402.08$$\sqrt{(\frac{12}{2})^2+(5.08)^2}$

Square root of $\sqrt{(\frac{1402.08}{2})^2+(5.08)^2}$ is 701.0584056

Put The values in Area Formula:

A= $16824.96+ 12 \cdot 701.0584056+1402.08$$\sqrt{(\frac{12}{2})^2+(5.08)^2}$

Square Root of $\sqrt{(\frac{12}{2})^2+(5.08)^2}$ is 5.3671594

Put The values in Area Formula:

A= 16824.96 + (12 x 701.0584056) + (1402.08 x 5.3671594)

Multiply 12 and 701.0584056

A= 16824.96 + 8412.7008667 + (1402.08 x 5.3671594)

Multiply 1402.08 and 5.3671594

A= 16824.96 + 8412.7008667 + 7525.1868483

Add 16824.96 and 8412.7008667

A= 25237.6608667 + 7525.1868483

A= 32762.847715 cm2

∴ The Surface Area of Pyramid length 12 cm , width 46 ft and height 2 in is 32762.847715 cm2

or

      Unit Conversion of 46 ft = 552.0 in

46 Foot is 552.0 inches

To convert Foot to Inches

we know that, 1 Foot = 12 inches

To convert Foot to inches, multiply the foot value by 12.

Result in Foot: 46 ft × 12 × in/ft

Cancel The Comman factor of ft

Result in Inches: (46 x 12 in)

Multiply 46 into 12

Result in Inches: 552.0 inches

∴ 46 Foot = 552.0 inches

      Unit Conversion of 12 cm = 4.7244094 in

12 Centimeters is 4.7244094 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: 12 × cm/2.54 × in/cm

Cancel The Comman factor of cm

Result in Inches: 12/2.54 in

Divide the 12 by 2.54

Result in Inches: 4.7244094 inches

∴ 12 Centimeters = 4.7244094 inches


A=($4.7244094 \cdot552.0+4.7244094$$\sqrt{(\frac{552.0}{2})^2+(2)^2}$$+552.0$$\sqrt{(\frac{4.7244094}{2})^2+(2)^2}$) in

Simplify each term.

Multiply 4.7244094 in by 552.0 in

A = $2607.8739888+4.7244094$$\sqrt{(\frac{552.0}{2})^2+(2)^2}$$+552.0$$\sqrt{(\frac{4.7244094}{2})^2+(2)^2}$

Square root of $\sqrt{(\frac{552.0}{2})^2+(2)^2}$ is 276.0072463

Put The values in Area Formula:

A= $2607.8739888+ 4.7244094 \cdot 276.0072463+552.0$$\sqrt{(\frac{4.7244094}{2})^2+(2)^2}$

Square Root of $\sqrt{(\frac{4.7244094}{2})^2+(2)^2}$ is 3.0951593

Put The values in Area Formula:

A= 2607.8739888 + (4.7244094 x 276.0072463) + (552.0 x 3.0951593)

Multiply 4.7244094 and 276.0072463

A= 2607.8739888 + 1303.9712288 + (552.0 x 3.0951593)

Multiply 552.0 and 3.0951593

A= 2607.8739888 + 1303.9712288 + 1708.5279293

Add 2607.8739888 and 1303.9712288

A= 3911.8452176 + 1708.5279293

A=$5620.373147$ in2

∴ The Surface Area of Pyramid length 12 cm , width 46 ft and height 2 in is 5620.373147 in2

or

      Unit Conversion of 12 cm = 0.3937008 ft

12 Centimeters is 0.3937008 foot

To convert Centimeters to Feet

we know that, 1 Centimeter = 0.032809 Feet or
                         1 Centimeter = 1/30.48 Feet

To convert Centimeters to Foot, multiply the centimeter value by 30.84.

Result in Foot: 12 × cm/30.84 × ft/cm

Cancel The Comman factor of cm

Result in Foot: 12/30.84 ft

DIvide the 12 by 30.84

Result in Feet: 0.3937008 feet

∴ 12 Centimeters = 0.3937008 foot

      Unit Conversion of 2 in = 0.1666667 ft

2 Inches is 0.1666667 feet

To convert Inches to Feet

we know that, 1 Inches = 0.0833333 Feet or
                         1 Foot = 1/12 foot

To convert Inches to Feet, divide the inche value by 12.

Result in Foot: 2 × in/12 × ft/in

Cancel The Comman factor of in

Result in Feet: $2\above 1pt12$

Divide the 2 by 12

Result in Feet: 0.1666667 feet

∴ 2 Inches = 0.1666667 feet


A=($0.3937008 \cdot46+0.3937008$$\sqrt{(\frac{46}{2})^2+(0.1666667)^2}$$+46$$\sqrt{(\frac{0.3937008}{2})^2+(0.1666667)^2}$) ft

Simplify each term.

Multiply 0.3937008 ft by 46 ft

A = $18.1102368+0.3937008$$\sqrt{(\frac{46}{2})^2+(0.1666667)^2}$$+46$$\sqrt{(\frac{0.3937008}{2})^2+(0.1666667)^2}$

Square root of $\sqrt{(\frac{46}{2})^2+(2)^2}$ is 23.0006039

Put The values in Area Formula:

A= $18.1102368+ 0.3937008 \cdot 23.0006039+46$$\sqrt{(\frac{0.3937008}{2})^2+(0.1666667)^2}$

Square Root of $\sqrt{(\frac{0.3937008}{2})^2+(0.1666667)^2}$ is 0.25793

Put The values in Area Formula:

A = 18.1102368 + (0.3937008 x 23.0006039) + (46 x 0.25793)

Multiply 0.3937008 and 23.0006039

A = 18.1102368 + 9.0553561 +(46 x 0.25793)

Multiply 46 and 0.25793

A= 18.1102368 + 9.0553561 + 11.8647786

Add 18.1102368 and 9.0553561

A = 27.1655929 + 11.8647786

A= 39.0303715 ft2

∴ The Surface Area of Pyramid length 12 cm , width 46 ft and height 2 in is 39.0303715 ft2