Created By : Abhinandan Kumar

Reviewed By : Rajashekhar Valipishetty

Last Updated : May 30, 2023


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The Surface Area of Pyramid 90 inches by width 52 foot by height 45 centimeters is 95729.7347763 inches2 or 738469.9697964 centimeters2 or 794.882461 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 90 inches by width 52 foot by height 45 centimeters is 95729.7347763 inches2 or 738469.9697964 centimeters2 or 794.882461 foot2


    Surface Area of a Pyramid 90 in by 52 ft by 45 cm in other units

Value unit
2.4315353 km2
1.5108897 mi2
2431.5352633 m2
7977.477898 ft2
95729.7347763 in2
2659.1592993 yd2
243153.5263318 cm2
2431535.263318 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 = 90 in, the width w = 52 ft and the height h = 45 cm into the formula for surface area of a pyramid

      Unit Conversion of 45 cm = 17.7165354 in

45 Centimeters is 17.7165354 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: 45 × cm/2.54 × in/cm

Cancel The Comman factor of cm

Result in Inches: 45/2.54 in

Divide the 45 by 2.54

Result in Inches: 17.7165354 inches

∴ 45 Centimeters = 17.7165354 inches

      Unit Conversion of 52 ft = 624.0 in

52 Foot is 624.0 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: 52 ft × 12 × in/ft

Cancel The Comman factor of ft

Result in Inches: (52 x 12 in)

Multiply 52 into 12

Result in Inches: 624.0 inches

∴ 52 Foot = 624.0 inches


A=($90 \cdot624.0+90$$\sqrt{(\frac{624.0}{2})^2+(17.7165354)^2}$$+624.0$$\sqrt{(\frac{90}{2})^2+(17.7165354)^2}$) in

Simplify each term.

Multiply 90 in by 624.0 in

A = $56160.0+90$$\sqrt{(\frac{624.0}{2})^2+(17.7165354)^2}$$+624.0$$\sqrt{(\frac{90}{2})^2+(17.7165354)^2}$

Square root of $\sqrt{(\frac{624.0}{2})^2+(17.7165354)^2}$ is 312.502601

Put The values in Area Formula:

A= $56160.0+ 90 \cdot 312.502601+624.0$$\sqrt{(\frac{90}{2})^2+(17.7165354)^2}$

Square Root of $\sqrt{(\frac{90}{2})^2+(17.7165354)^2}$ is 18.340546

Put The values in Area Formula:

A= 56160.0 + (90 x 312.502601) + (624.0 x 18.340546)

Multiply 90 and 312.502601

A= 56160.0 + 28125.2340893 + (624.0 x 18.340546)

Multiply 624.0 and 18.340546

A= 56160.0 + 28125.2340893 + 11444.500687

Add 56160.0 and 28125.2340893

A= 84285.2340893 + 11444.500687

A= 95729.7347763 in2

∴ The Surface Area of Pyramid length 90 in , width 52 ft and height 45 cm is 95729.7347763 in2

or

      Unit Conversion of 52 ft = 1584.96 cm

52 Foot is 1584.96 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: 52 ft × 30.480 × cm/ft

Cancel The Comman factor of ft

Result in Centimeters: (52 x 30.480 cm)

Multiply 52 into 30.480

Result in Centimeters: 1584.96 Centimeters

∴ 52 Foot = 1584.96 Centimeters

      Unit Conversion of 90 in = 228.6 cm

90 Inches is 228.6 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: 90 in × 2.54 × cm/in

Cancel The Comman factor of in

Result in Centimeters: (90 x 2.54 cm)

Multiply 90 into 2.54

Result in Centimeters: 228.6 Centimeters

∴ 90 Inches = 228.6 Centimeters


A=($228.6 \cdot1584.96+228.6$$\sqrt{(\frac{1584.96}{2})^2+(45)^2}$$+1584.96$$\sqrt{(\frac{228.6}{2})^2+(45)^2}$) cm

Simplify each term.

Multiply 228.6 cm by 1584.96 cm

A = $362321.856+228.6$$\sqrt{(\frac{1584.96}{2})^2+(45)^2}$$+1584.96$$\sqrt{(\frac{228.6}{2})^2+(45)^2}$

Square root of $\sqrt{(\frac{1584.96}{2})^2+(45)^2}$ is 793.7566065

Put The values in Area Formula:

A= $362321.856+ 228.6 \cdot 793.7566065+1584.96$$\sqrt{(\frac{228.6}{2})^2+(45)^2}$

Square Root of $\sqrt{(\frac{228.6}{2})^2+(45)^2}$ is 122.8392852

Put The values in Area Formula:

A= 362321.856 + (228.6 x 793.7566065) + (1584.96 x 122.8392852)

Multiply 228.6 and 793.7566065

A= 362321.856 + 181452.7602513 + (1584.96 x 122.8392852)

Multiply 1584.96 and 122.8392852

A= 362321.856 + 181452.7602513 + 194695.3535451

Add 362321.856 and 181452.7602513

A= 543774.6162513 + 194695.3535451

A=$738469.9697964$ cm2

∴ The Surface Area of Pyramid length 90 in , width 52 ft and height 45 cm is 738469.9697964 cm2

or

      Unit Conversion of 90 in = 7.5 ft

90 Inches is 7.5 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: 90 × in/12 × ft/in

Cancel The Comman factor of in

Result in Feet: $90\above 1pt12$

Divide the 90 by 12

Result in Feet: 7.5 feet

∴ 90 Inches = 7.5 feet

      Unit Conversion of 45 cm = 1.476378 ft

45 Centimeters is 1.476378 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: 45 × cm/30.84 × ft/cm

Cancel The Comman factor of cm

Result in Foot: 45/30.84 ft

DIvide the 45 by 30.84

Result in Feet: 1.476378 feet

∴ 45 Centimeters = 1.476378 foot


A=($7.5 \cdot52+7.5$$\sqrt{(\frac{52}{2})^2+(1.476378)^2}$$+52$$\sqrt{(\frac{7.5}{2})^2+(1.476378)^2}$) ft

Simplify each term.

Multiply 7.5 ft by 52 ft

A = $390.0+7.5$$\sqrt{(\frac{52}{2})^2+(1.476378)^2}$$+52$$\sqrt{(\frac{7.5}{2})^2+(1.476378)^2}$

Square root of $\sqrt{(\frac{52}{2})^2+(45)^2}$ is 26.0418834

Put The values in Area Formula:

A= $390.0+ 7.5 \cdot 26.0418834+52$$\sqrt{(\frac{7.5}{2})^2+(1.476378)^2}$

Square Root of $\sqrt{(\frac{7.5}{2})^2+(1.476378)^2}$ is 4.0301603

Put The values in Area Formula:

A = 390.0 + (7.5 x 26.0418834) + (52 x 4.0301603)

Multiply 7.5 and 26.0418834

A = 390.0 + 195.3141256 +(52 x 4.0301603)

Multiply 52 and 4.0301603

A= 390.0 + 195.3141256 + 209.5683353

Add 390.0 and 195.3141256

A = 585.3141256 + 209.5683353

A= 794.882461 ft2

∴ The Surface Area of Pyramid length 90 in , width 52 ft and height 45 cm is 794.882461 ft2