Surface area of a Pyramid 6 yards by 10 centimeters by 4 inches Calculator
The Surface Area of Pyramid 6 yards by width 10 centimeters by height 4 inches is 1.5336807 yards2 or 2238.8402219 inches2 or 14444.1015131 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 6 yards by width 10 centimeters by height 4 inches is 1.5336807 yards2 or 2238.8402219 inches2 or 14444.1015131 centimeters2
Surface Area of a Pyramid 6 yd by 10 cm by 4 in in other units
| Value | unit |
|---|---|
| 0.0014024 | km2 |
| 0.0008714 | mi2 |
| 1.4023976 | m2 |
| 4.6010421 | ft2 |
| 55.2125052 | in2 |
| 1.5336807 | yd2 |
| 140.2397632 | cm2 |
| 1402.3976321 | mm2 |
Steps:
The Surface area of Pyramid A = $lw+l$$\sqrt{(\frac{w}{2})^2+(h)^2}$$+w$$\sqrt{(\frac{l}{2})^2+(h)^2}$
Substitute the values of the length l = 6 yd, the width w = 10 cm and the height h = 4 in into the formula for surface area of a pyramid
Unit Conversion of 4 in = 0.1111111 yd
4 Inches is 0.1111111 yards
To convert Inche to Yards
we know that, 1 Inche = 0.02778 Yards or
1 Inche = 1/36 Yards
To convert Inche to Yards, divide the inche value by 36
Result in Foot: 4 × in/12 × yd/in
Cancel The Comman factor of in
Result in Foot: 4/36
Divide the 4 by 36
Result in Yards: 0.1111111 yards
∴ 4 Inches = 0.1111111 yards
Unit Conversion of 10 cm = 0.1093613 yd
10 Centimeter is 0.1093613 yards
To convert Centimeter to Yards
we know that, 1 Centimeter = 0.0109361 Yards or
1 Centimeter = 1/91.44 Yard
To convert Centimeter to Yards, divide the yards value by 91.44
Result in Yards: 10 × cm/91.44 × yd/cm
Cancel The Comman factor of cm
Result in Yards: 10/91.44 yd
Divide 10 by 91.44
Result in Yards: 0.1093613 yards
∴ 10 Centimeter = 0.1093613 yards
A=($6 \cdot0.1093613+6$$\sqrt{(\frac{0.1093613}{2})^2+(0.1111111)^2}$$+0.1093613$$\sqrt{(\frac{6}{2})^2+(0.1111111)^2}$) yd
Simplify each term.
Multiply 6 yd by 0.1093613 yd
A = $0.6561678+6$$\sqrt{(\frac{0.1093613}{2})^2+(0.1111111)^2}$$+0.1093613$$\sqrt{(\frac{6}{2})^2+(0.1111111)^2}$
Square root of $\sqrt{(\frac{0.1093613}{2})^2+(0.1111111)^2}$ is 0.1238372
Put The values in Area Formula:
A= $0.6561678+ 6 \cdot 0.1238372+0.1093613$$\sqrt{(\frac{6}{2})^2+(0.1111111)^2}$
Square Root of $\sqrt{(\frac{6}{2})^2+(0.1111111)^2}$ is 1.2297746
Put The values in Area Formula:
A= 0.6561678 + (6 x 0.1238372) + (0.1093613 x 1.2297746)
Multiply 6 and 0.1238372
A= 0.6561678 + 0.7430231 + (0.1093613 x 1.2297746)
Multiply 0.1093613 and 1.2297746
A= 0.6561678 + 0.7430231 + 0.1344898
Add 0.6561678 and 0.7430231
A= 1.3991909 + 0.1344898
A= 1.5336807 yd2
∴ The Surface Area of Pyramid length 6 yd , width 10 cm and height 4 in is 1.5336807 yd2
or
Unit Conversion of 10 cm = 3.9370079 in
10 Centimeters is 3.9370079 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: 10 × cm/2.54 × in/cm
Cancel The Comman factor of cm
Result in Inches: 10/2.54 in
Divide the 10 by 2.54
Result in Inches: 3.9370079 inches
∴ 10 Centimeters = 3.9370079 inches
Unit Conversion of 6 yd = 216.0 in
6 Yards is 216.0 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: 6 yd x 36 × in/yd
Cancel The Comman factor of yd
Result in Inches: (6 x 36 in)
Multiply 6 into 36
Result in Inches: 216.0 inches
∴ 6 Yards = 216.0 inches
A=($216.0 \cdot3.9370079+216.0$$\sqrt{(\frac{3.9370079}{2})^2+(4)^2}$$+3.9370079$$\sqrt{(\frac{216.0}{2})^2+(4)^2}$) in
Simplify each term.
Multiply 216.0 in by 3.9370079 in
A = $850.3937064+216.0$$\sqrt{(\frac{3.9370079}{2})^2+(4)^2}$$+3.9370079$$\sqrt{(\frac{216.0}{2})^2+(4)^2}$
Square root of $\sqrt{(\frac{3.9370079}{2})^2+(4)^2}$ is 4.4581395
Put The values in Area Formula:
A= $850.3937064+ 216.0 \cdot 4.4581395+3.9370079$$\sqrt{(\frac{216.0}{2})^2+(4)^2}$
Square Root of $\sqrt{(\frac{216.0}{2})^2+(4)^2}$ is 108.0740487
Put The values in Area Formula:
A= 850.3937064 + (216.0 x 4.4581395) + (3.9370079 x 108.0740487)
Multiply 216.0 and 4.4581395
A= 850.3937064 + 962.958132 + (3.9370079 x 108.0740487)
Multiply 3.9370079 and 108.0740487
A= 850.3937064 + 962.958132 + 425.4883835
Add 850.3937064 and 962.958132
A= 1813.3518384 + 425.4883835
A=$2238.8402219$ in2
∴ The Surface Area of Pyramid length 6 yd , width 10 cm and height 4 in is 2238.8402219 in2
or
Unit Conversion of 6 yd = 548.64 cm
6 Yards is 548.64 Centimeters
To convert Yard to Centimeters
we know that, 1 Yard = 91.44 Centimeters
To convert Yards to Centimeters, multiply the yard value by 91.44
Result in Centimeters: 6 yd x 91.44 × cm/yd
Cancel The Comman factor of yd
Result in Centimeters: (6 x 91.44 cm)
Multiply 6 into 91.44
Result in Centimeters: 548.64 Centimeters
∴ 6 Yards = 548.64 Centimeters
Unit Conversion of 4 in = 10.16 cm
4 Inches is 10.16 Centimeters
To convert Inches to Centimeters
we know that, 1 Inche = 2.54 Centimeters
To convert Inches to Centimeters, multiply the inche value by 2.54
Result in Centimeters: 4 in × 2.54 × cm/in
Cancel The Comman factor of in
Result in Centimeters: (4 x 2.54 cm)
Multiply 4 into 2.54
Result in Centimeters: 10.16 Centimeters
∴ 4 Inches = 10.16 Centimeters
A=($548.64 \cdot10+548.64$$\sqrt{(\frac{10}{2})^2+(10.16)^2}$$+10$$\sqrt{(\frac{548.64}{2})^2+(10.16)^2}$) cm
Simplify each term.
Multiply 548.64 cm by 10 cm
A = $5486.4+548.64$$\sqrt{(\frac{10}{2})^2+(10.16)^2}$$+10$$\sqrt{(\frac{548.64}{2})^2+(10.16)^2}$
Square root of $\sqrt{(\frac{10}{2})^2+(4)^2}$ is 11.3236743
Put The values in Area Formula:
A= $5486.4+ 548.64 \cdot 11.3236743+10$$\sqrt{(\frac{548.64}{2})^2+(10.16)^2}$
Square Root of $\sqrt{(\frac{548.64}{2})^2+(10.16)^2}$ is 274.5080837
Put The values in Area Formula:
A = 5486.4 + (548.64 x 11.3236743) + (10 x 274.5080837)
Multiply 548.64 and 11.3236743
A = 5486.4 + 6212.6206764 +(10 x 274.5080837)
Multiply 10 and 274.5080837
A= 5486.4 + 6212.6206764 + 2745.0808367
Add 5486.4 and 6212.6206764
A = 11699.0206764 + 2745.0808367
A= 14444.1015131 cm2
∴ The Surface Area of Pyramid length 6 yd , width 10 cm and height 4 in is 14444.1015131 cm2