Created By : Abhinandan Kumar

Reviewed By : Rajashekhar Valipishetty

Last Updated : May 30, 2023


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The Surface Area of Pyramid 8 yards by width 13 centimeters by height 5 inches is 2.5875674 yards2 or 3829.1143765 inches2 or 24703.9144278 centimeters2

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 8 yards by width 13 centimeters by height 5 inches is 2.5875674 yards2 or 3829.1143765 inches2 or 24703.9144278 centimeters2


    Surface Area of a Pyramid 8 yd by 13 cm by 5 in in other units

Value unit
0.0023661 km2
0.0014702 mi2
2.3660716 m2
7.7627022 ft2
93.1524264 in2
2.5875674 yd2
236.6071631 cm2
2366.0716306 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 = 8 yd, the width w = 13 cm and the height h = 5 in into the formula for surface area of a pyramid

      Unit Conversion of 5 in = 0.1388889 yd

5 Inches is 0.1388889 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: 5 × in/12 × yd/in

Cancel The Comman factor of in

Result in Foot: 5/36

Divide the 5 by 36

Result in Yards: 0.1388889 yards

∴ 5 Inches = 0.1388889 yards

      Unit Conversion of 13 cm = 0.1421697 yd

13 Centimeter is 0.1421697 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: 13 × cm/91.44 × yd/cm

Cancel The Comman factor of cm

Result in Yards: 13/91.44 yd

Divide 13 by 91.44

Result in Yards: 0.1421697 yards

∴ 13 Centimeter = 0.1421697 yards


A=($8 \cdot0.1421697+8$$\sqrt{(\frac{0.1421697}{2})^2+(0.1388889)^2}$$+0.1421697$$\sqrt{(\frac{8}{2})^2+(0.1388889)^2}$) yd

Simplify each term.

Multiply 8 yd by 0.1421697 yd

A = $1.1373576+8$$\sqrt{(\frac{0.1421697}{2})^2+(0.1388889)^2}$$+0.1421697$$\sqrt{(\frac{8}{2})^2+(0.1388889)^2}$

Square root of $\sqrt{(\frac{0.1421697}{2})^2+(0.1388889)^2}$ is 0.156023

Put The values in Area Formula:

A= $1.1373576+ 8 \cdot 0.156023+0.1421697$$\sqrt{(\frac{8}{2})^2+(0.1388889)^2}$

Square Root of $\sqrt{(\frac{8}{2})^2+(0.1388889)^2}$ is 1.4210173

Put The values in Area Formula:

A= 1.1373576 + (8 x 0.156023) + (0.1421697 x 1.4210173)

Multiply 8 and 0.156023

A= 1.1373576 + 1.2481842 + (0.1421697 x 1.4210173)

Multiply 0.1421697 and 1.4210173

A= 1.1373576 + 1.2481842 + 0.2020256

Add 1.1373576 and 1.2481842

A= 2.3855418 + 0.2020256

A= 2.5875674 yd2

∴ The Surface Area of Pyramid length 8 yd , width 13 cm and height 5 in is 2.5875674 yd2

or

      Unit Conversion of 13 cm = 5.1181102 in

13 Centimeters is 5.1181102 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: 13 × cm/2.54 × in/cm

Cancel The Comman factor of cm

Result in Inches: 13/2.54 in

Divide the 13 by 2.54

Result in Inches: 5.1181102 inches

∴ 13 Centimeters = 5.1181102 inches

      Unit Conversion of 8 yd = 288.0 in

8 Yards is 288.0 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: 8 yd x 36 × in/yd

Cancel The Comman factor of yd

Result in Inches: (8 x 36 in)

Multiply 8 into 36

Result in Inches: 288.0 inches

∴ 8 Yards = 288.0 inches


A=($288.0 \cdot5.1181102+288.0$$\sqrt{(\frac{5.1181102}{2})^2+(5)^2}$$+5.1181102$$\sqrt{(\frac{288.0}{2})^2+(5)^2}$) in

Simplify each term.

Multiply 288.0 in by 5.1181102 in

A = $1474.0157376+288.0$$\sqrt{(\frac{5.1181102}{2})^2+(5)^2}$$+5.1181102$$\sqrt{(\frac{288.0}{2})^2+(5)^2}$

Square root of $\sqrt{(\frac{5.1181102}{2})^2+(5)^2}$ is 5.6168286

Put The values in Area Formula:

A= $1474.0157376+ 288.0 \cdot 5.6168286+5.1181102$$\sqrt{(\frac{288.0}{2})^2+(5)^2}$

Square Root of $\sqrt{(\frac{288.0}{2})^2+(5)^2}$ is 144.0867794

Put The values in Area Formula:

A= 1474.0157376 + (288.0 x 5.6168286) + (5.1181102 x 144.0867794)

Multiply 288.0 and 5.6168286

A= 1474.0157376 + 1617.6466235 + (5.1181102 x 144.0867794)

Multiply 5.1181102 and 144.0867794

A= 1474.0157376 + 1617.6466235 + 737.4520154

Add 1474.0157376 and 1617.6466235

A= 3091.6623611 + 737.4520154

A=$3829.1143765$ in2

∴ The Surface Area of Pyramid length 8 yd , width 13 cm and height 5 in is 3829.1143765 in2

or

      Unit Conversion of 8 yd = 731.52 cm

8 Yards is 731.52 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: 8 yd x 91.44 × cm/yd

Cancel The Comman factor of yd

Result in Centimeters: (8 x 91.44 cm)

Multiply 8 into 91.44

Result in Centimeters: 731.52 Centimeters

∴ 8 Yards = 731.52 Centimeters

      Unit Conversion of 5 in = 12.7 cm

5 Inches is 12.7 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: 5 in × 2.54 × cm/in

Cancel The Comman factor of in

Result in Centimeters: (5 x 2.54 cm)

Multiply 5 into 2.54

Result in Centimeters: 12.7 Centimeters

∴ 5 Inches = 12.7 Centimeters


A=($731.52 \cdot13+731.52$$\sqrt{(\frac{13}{2})^2+(12.7)^2}$$+13$$\sqrt{(\frac{731.52}{2})^2+(12.7)^2}$) cm

Simplify each term.

Multiply 731.52 cm by 13 cm

A = $9509.76+731.52$$\sqrt{(\frac{13}{2})^2+(12.7)^2}$$+13$$\sqrt{(\frac{731.52}{2})^2+(12.7)^2}$

Square root of $\sqrt{(\frac{13}{2})^2+(5)^2}$ is 14.2667445

Put The values in Area Formula:

A= $9509.76+ 731.52 \cdot 14.2667445+13$$\sqrt{(\frac{731.52}{2})^2+(12.7)^2}$

Square Root of $\sqrt{(\frac{731.52}{2})^2+(12.7)^2}$ is 365.9804197

Put The values in Area Formula:

A = 9509.76 + (731.52 x 14.2667445) + (13 x 365.9804197)

Multiply 731.52 and 14.2667445

A = 9509.76 + 10436.4089718 +(13 x 365.9804197)

Multiply 13 and 365.9804197

A= 9509.76 + 10436.4089718 + 4757.745456

Add 9509.76 and 10436.4089718

A = 19946.1689718 + 4757.745456

A= 24703.9144278 cm2

∴ The Surface Area of Pyramid length 8 yd , width 13 cm and height 5 in is 24703.9144278 cm2