Created By : Abhinandan Kumar

Reviewed By : Rajashekhar Valipishetty

Last Updated : May 30, 2023


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The Surface Area of Pyramid 9 centimeters by width 46 foot by height 7 inches is 43947.648305 centimeters2 or 6920.0086331 inches2 or 48.0556146 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 9 centimeters by width 46 foot by height 7 inches is 43947.648305 centimeters2 or 6920.0086331 inches2 or 48.0556146 foot2


    Surface Area of a Pyramid 9 cm by 46 ft by 7 in in other units

Value unit
0.4394765 km2
0.2730787 mi2
439.4764831 m2
1441.8519785 ft2
17302.2237421 in2
480.6173262 yd2
43947.648305 cm2
439476.48305 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 = 9 cm, the width w = 46 ft and the height h = 7 in into the formula for surface area of a pyramid

      Unit Conversion of 7 in = 17.78 cm

7 Inches is 17.78 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: 7 in × 2.54 × cm/in

Cancel The Comman factor of in

Result in Centimeters: (7 x 2.54 cm)

Multiply 7 into 2.54

Result in Centimeters: 17.78 Centimeters

∴ 7 Inches = 17.78 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=($9 \cdot1402.08+9$$\sqrt{(\frac{1402.08}{2})^2+(17.78)^2}$$+1402.08$$\sqrt{(\frac{9}{2})^2+(17.78)^2}$) cm

Simplify each term.

Multiply 9 cm by 1402.08 cm

A = $12618.72+9$$\sqrt{(\frac{1402.08}{2})^2+(17.78)^2}$$+1402.08$$\sqrt{(\frac{9}{2})^2+(17.78)^2}$

Square root of $\sqrt{(\frac{1402.08}{2})^2+(17.78)^2}$ is 701.2654348

Put The values in Area Formula:

A= $12618.72+ 9 \cdot 701.2654348+1402.08$$\sqrt{(\frac{9}{2})^2+(17.78)^2}$

Square Root of $\sqrt{(\frac{9}{2})^2+(17.78)^2}$ is 17.8431612

Put The values in Area Formula:

A= 12618.72 + (9 x 701.2654348) + (1402.08 x 17.8431612)

Multiply 9 and 701.2654348

A= 12618.72 + 6311.3889129 + (1402.08 x 17.8431612)

Multiply 1402.08 and 17.8431612

A= 12618.72 + 6311.3889129 + 25017.5393921

Add 12618.72 and 6311.3889129

A= 18930.1089129 + 25017.5393921

A= 43947.648305 cm2

∴ The Surface Area of Pyramid length 9 cm , width 46 ft and height 7 in is 43947.648305 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 9 cm = 3.5433071 in

9 Centimeters is 3.5433071 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: 9 × cm/2.54 × in/cm

Cancel The Comman factor of cm

Result in Inches: 9/2.54 in

Divide the 9 by 2.54

Result in Inches: 3.5433071 inches

∴ 9 Centimeters = 3.5433071 inches


A=($3.5433071 \cdot552.0+3.5433071$$\sqrt{(\frac{552.0}{2})^2+(7)^2}$$+552.0$$\sqrt{(\frac{3.5433071}{2})^2+(7)^2}$) in

Simplify each term.

Multiply 3.5433071 in by 552.0 in

A = $1955.9055192+3.5433071$$\sqrt{(\frac{552.0}{2})^2+(7)^2}$$+552.0$$\sqrt{(\frac{3.5433071}{2})^2+(7)^2}$

Square root of $\sqrt{(\frac{552.0}{2})^2+(7)^2}$ is 276.0887538

Put The values in Area Formula:

A= $1955.9055192+ 3.5433071 \cdot 276.0887538+552.0$$\sqrt{(\frac{3.5433071}{2})^2+(7)^2}$

Square Root of $\sqrt{(\frac{3.5433071}{2})^2+(7)^2}$ is 7.2207172

Put The values in Area Formula:

A= 1955.9055192 + (3.5433071 x 276.0887538) + (552.0 x 7.2207172)

Multiply 3.5433071 and 276.0887538

A= 1955.9055192 + 978.2672417 + (552.0 x 7.2207172)

Multiply 552.0 and 7.2207172

A= 1955.9055192 + 978.2672417 + 3985.8358722

Add 1955.9055192 and 978.2672417

A= 2934.1727609 + 3985.8358722

A=$6920.0086331$ in2

∴ The Surface Area of Pyramid length 9 cm , width 46 ft and height 7 in is 6920.0086331 in2

or

      Unit Conversion of 9 cm = 0.2952756 ft

9 Centimeters is 0.2952756 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: 9 × cm/30.84 × ft/cm

Cancel The Comman factor of cm

Result in Foot: 9/30.84 ft

DIvide the 9 by 30.84

Result in Feet: 0.2952756 feet

∴ 9 Centimeters = 0.2952756 foot

      Unit Conversion of 7 in = 0.5833333 ft

7 Inches is 0.5833333 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: 7 × in/12 × ft/in

Cancel The Comman factor of in

Result in Feet: $7\above 1pt12$

Divide the 7 by 12

Result in Feet: 0.5833333 feet

∴ 7 Inches = 0.5833333 feet


A=($0.2952756 \cdot46+0.2952756$$\sqrt{(\frac{46}{2})^2+(0.5833333)^2}$$+46$$\sqrt{(\frac{0.2952756}{2})^2+(0.5833333)^2}$) ft

Simplify each term.

Multiply 0.2952756 ft by 46 ft

A = $13.5826776+0.2952756$$\sqrt{(\frac{46}{2})^2+(0.5833333)^2}$$+46$$\sqrt{(\frac{0.2952756}{2})^2+(0.5833333)^2}$

Square root of $\sqrt{(\frac{46}{2})^2+(7)^2}$ is 23.0073962

Put The values in Area Formula:

A= $13.5826776+ 0.2952756 \cdot 23.0073962+46$$\sqrt{(\frac{0.2952756}{2})^2+(0.5833333)^2}$

Square Root of $\sqrt{(\frac{0.2952756}{2})^2+(0.5833333)^2}$ is 0.6017264

Put The values in Area Formula:

A = 13.5826776 + (0.2952756 x 23.0073962) + (46 x 0.6017264)

Multiply 0.2952756 and 23.0073962

A = 13.5826776 + 6.7935227 +(46 x 0.6017264)

Multiply 46 and 0.6017264

A= 13.5826776 + 6.7935227 + 27.6794143

Add 13.5826776 and 6.7935227

A = 20.3762003 + 27.6794143

A= 48.0556146 ft2

∴ The Surface Area of Pyramid length 9 cm , width 46 ft and height 7 in is 48.0556146 ft2