Created By : Abhinandan Kumar

Reviewed By : Rajashekhar Valipishetty

Last Updated : May 30, 2023


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The Surface Area of Pyramid 48 yards by width 45 foot by height 92 inches is 1164.8962437 yards2 or 1895218.7540979 inches2 or 13161.2413496 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 48 yards by width 45 foot by height 92 inches is 1164.8962437 yards2 or 1895218.7540979 inches2 or 13161.2413496 foot2


    Surface Area of a Pyramid 48 yd by 45 ft by 92 in in other units

Value unit
1.0651811 km2
0.6618745 mi2
1065.1811252 m2
3494.6887311 ft2
41936.2647732 in2
1164.8962437 yd2
106518.1125239 cm2
1065181.1252393 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 = 48 yd, the width w = 45 ft and the height h = 92 in into the formula for surface area of a pyramid

      Unit Conversion of 92 in = 2.5555556 yd

92 Inches is 2.5555556 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: 92 × in/12 × yd/in

Cancel The Comman factor of in

Result in Foot: 92/36

Divide the 92 by 36

Result in Yards: 2.5555556 yards

∴ 92 Inches = 2.5555556 yards

      Unit Conversion of 45 ft = 15.0 yd

45 Feet is 15.0 yards

To convert Feet to Yards

we know that, 1 Foot = 0.333333 or
                        1 Foot = 1/3 Yards

To convert Feet to Yards, divide the feet value by 3

Result in Yards: 45 × ft/yd × ft/yd

Cancel The Comman factor of ft

Result in Yards: 45/3 yd

Divide the 45 by 3

Result in Yards: 15.0 yards

∴ 45 Feet = 15.0 yards


A=($48 \cdot15.0+48$$\sqrt{(\frac{15.0}{2})^2+(2.5555556)^2}$$+15.0$$\sqrt{(\frac{48}{2})^2+(2.5555556)^2}$) yd

Simplify each term.

Multiply 48 yd by 15.0 yd

A = $720.0+48$$\sqrt{(\frac{15.0}{2})^2+(2.5555556)^2}$$+15.0$$\sqrt{(\frac{48}{2})^2+(2.5555556)^2}$

Square root of $\sqrt{(\frac{15.0}{2})^2+(2.5555556)^2}$ is 7.9234377

Put The values in Area Formula:

A= $720.0+ 48 \cdot 7.9234377+15.0$$\sqrt{(\frac{48}{2})^2+(2.5555556)^2}$

Square Root of $\sqrt{(\frac{48}{2})^2+(2.5555556)^2}$ is 4.3047491

Put The values in Area Formula:

A= 720.0 + (48 x 7.9234377) + (15.0 x 4.3047491)

Multiply 48 and 7.9234377

A= 720.0 + 380.3250079 + (15.0 x 4.3047491)

Multiply 15.0 and 4.3047491

A= 720.0 + 380.3250079 + 64.5712358

Add 720.0 and 380.3250079

A= 1100.3250079 + 64.5712358

A= 1164.8962437 yd2

∴ The Surface Area of Pyramid length 48 yd , width 45 ft and height 92 in is 1164.8962437 yd2

or

      Unit Conversion of 45 ft = 540.0 in

45 Foot is 540.0 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: 45 ft × 12 × in/ft

Cancel The Comman factor of ft

Result in Inches: (45 x 12 in)

Multiply 45 into 12

Result in Inches: 540.0 inches

∴ 45 Foot = 540.0 inches

      Unit Conversion of 48 yd = 1728.0 in

48 Yards is 1728.0 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: 48 yd x 36 × in/yd

Cancel The Comman factor of yd

Result in Inches: (48 x 36 in)

Multiply 48 into 36

Result in Inches: 1728.0 inches

∴ 48 Yards = 1728.0 inches


A=($1728.0 \cdot540.0+1728.0$$\sqrt{(\frac{540.0}{2})^2+(92)^2}$$+540.0$$\sqrt{(\frac{1728.0}{2})^2+(92)^2}$) in

Simplify each term.

Multiply 1728.0 in by 540.0 in

A = $933120.0+1728.0$$\sqrt{(\frac{540.0}{2})^2+(92)^2}$$+540.0$$\sqrt{(\frac{1728.0}{2})^2+(92)^2}$

Square root of $\sqrt{(\frac{540.0}{2})^2+(92)^2}$ is 285.2437554

Put The values in Area Formula:

A= $933120.0+ 1728.0 \cdot 285.2437554+540.0$$\sqrt{(\frac{1728.0}{2})^2+(92)^2}$

Square Root of $\sqrt{(\frac{1728.0}{2})^2+(92)^2}$ is 868.8843421

Put The values in Area Formula:

A= 933120.0 + (1728.0 x 285.2437554) + (540.0 x 868.8843421)

Multiply 1728.0 and 285.2437554

A= 933120.0 + 492901.2093473 + (540.0 x 868.8843421)

Multiply 540.0 and 868.8843421

A= 933120.0 + 492901.2093473 + 469197.5447506

Add 933120.0 and 492901.2093473

A= 1426021.2093473 + 469197.5447506

A=$1895218.7540979$ in2

∴ The Surface Area of Pyramid length 48 yd , width 45 ft and height 92 in is 1895218.7540979 in2

or

      Unit Conversion of 48 yd = 144.0 ft

48 Yards is 144.0 foots

To convert Yards to Foot

we know that, 1 Yards = 3 Feet

To convert Yards to Foot, multiply the yard value by 3.

Result in Feet: 48 yd x 3 × ft/yd

Cancel The Comman factor of yd

Result in Feet: (48 x 3 ft)

Multiply 48 into 3

Result in Feet: 144.0 feets

∴ 48 Yards = 144.0 foots

      Unit Conversion of 92 in = 7.6666667 ft

92 Inches is 7.6666667 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: 92 × in/12 × ft/in

Cancel The Comman factor of in

Result in Feet: $92\above 1pt12$

Divide the 92 by 12

Result in Feet: 7.6666667 feet

∴ 92 Inches = 7.6666667 feet


A=($144.0 \cdot45+144.0$$\sqrt{(\frac{45}{2})^2+(7.6666667)^2}$$+45$$\sqrt{(\frac{144.0}{2})^2+(7.6666667)^2}$) ft

Simplify each term.

Multiply 144.0 ft by 45 ft

A = $6480.0+144.0$$\sqrt{(\frac{45}{2})^2+(7.6666667)^2}$$+45$$\sqrt{(\frac{144.0}{2})^2+(7.6666667)^2}$

Square root of $\sqrt{(\frac{45}{2})^2+(92)^2}$ is 23.770313

Put The values in Area Formula:

A= $6480.0+ 144.0 \cdot 23.770313+45$$\sqrt{(\frac{144.0}{2})^2+(7.6666667)^2}$

Square Root of $\sqrt{(\frac{144.0}{2})^2+(7.6666667)^2}$ is 72.4070285

Put The values in Area Formula:

A = 6480.0 + (144.0 x 23.770313) + (45 x 72.4070285)

Multiply 144.0 and 23.770313

A = 6480.0 + 3422.9250665 +(45 x 72.4070285)

Multiply 45 and 72.4070285

A= 6480.0 + 3422.9250665 + 3258.3162831

Add 6480.0 and 3422.9250665

A = 9902.9250665 + 3258.3162831

A= 13161.2413496 ft2

∴ The Surface Area of Pyramid length 48 yd , width 45 ft and height 92 in is 13161.2413496 ft2