Surface area of a Pyramid 6 inches by 5 centimeters by 10 meters Calculator
The Surface Area of Pyramid 6 inches by width 5 centimeters by height 10 meters is 3149.0221407 inches2 or 2.0316393 meters2 or 20316.3927838 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 inches by width 5 centimeters by height 10 meters is 3149.0221407 inches2 or 2.0316393 meters2 or 20316.3927838 centimeters2
Surface Area of a Pyramid 6 in by 5 cm by 10 m in other units
Value | unit |
---|---|
0.0799852 | km2 |
0.0497006 | mi2 |
79.9851624 | m2 |
262.4185117 | ft2 |
3149.0221407 | in2 |
87.4728372 | yd2 |
7998.5162374 | cm2 |
79985.1623738 | mm2 |
Steps:
The Surface area of Pyramid A = $lw+l$$\sqrt{(\frac{w}{2})^2+(h)^2}$$+w$$\sqrt{(\frac{l}{2})^2+(h)^2}$
Substitute the values of the length l = 6 in, the width w = 5 cm and the height h = 10 m into the formula for surface area of a pyramid
Unit Conversion of 10 m = 393.7 in
10 meter is 393.7 inches
To convert Meters to Inches
we know that, 1 Meter = 39.37 Inch
To convert meter to Inch,multiply the meter value by 39.37.
Result in Inches: 10 m × 39.37 × in/m
Cancel The Comman factor of m
Result in Inches: (10 * 39.37 in)
Multiply 393.7 into 39.37
∴ 10 meter = 393.7 inches
Unit Conversion of 5 cm = 1.9685039 in
5 Centimeters is 1.9685039 inches
To convert Centimeter to Inches
we know that, 1 Centimeter = 0.393705 inches or
1 Centimeter = 1/2.54 inches
To convert Centimeters to inches, divide the centimeter value by 2.54.
Result in Centimeters: 5 × cm/2.54 × in/cm
Cancel The Comman factor of cm
Result in Inches: 5/2.54 in
Divide the 5 by 2.54
Result in Inches: 1.9685039 inches
∴ 5 Centimeters = 1.9685039 inches
A=($6 \cdot1.9685039+6$$\sqrt{(\frac{1.9685039}{2})^2+(393.7)^2}$$+1.9685039$$\sqrt{(\frac{6}{2})^2+(393.7)^2}$) in
Simplify each term.
Multiply 6 in by 1.9685039 in
A = $11.8110234+6$$\sqrt{(\frac{1.9685039}{2})^2+(393.7)^2}$$+1.9685039$$\sqrt{(\frac{6}{2})^2+(393.7)^2}$
Square root of $\sqrt{(\frac{1.9685039}{2})^2+(393.7)^2}$ is 393.7012303
Put The values in Area Formula:
A= $11.8110234+ 6 \cdot 393.7012303+1.9685039$$\sqrt{(\frac{6}{2})^2+(393.7)^2}$
Square Root of $\sqrt{(\frac{6}{2})^2+(393.7)^2}$ is 393.701905
Put The values in Area Formula:
A= 11.8110234 + (6 x 393.7012303) + (1.9685039 x 393.701905)
Multiply 6 and 393.7012303
A= 11.8110234 + 2362.2073819 + (1.9685039 x 393.701905)
Multiply 1.9685039 and 393.701905
A= 11.8110234 + 2362.2073819 + 775.0037354
Add 11.8110234 and 2362.2073819
A= 2374.0184053 + 775.0037354
A= 3149.0221407 in2
∴ The Surface Area of Pyramid length 6 in , width 5 cm and height 10 m is 3149.0221407 in2
or
Unit Conversion of 5 cm = 0.05 m
5 Centimeters is 0.05 meters
To convert Centimeter to Meter
we know that, 1 Centimeter = 0.01 Meter or
1 Centimeter = 1/100 Meter
To convert Centimeters to meters, divide the centimeter value by 100 .
Result in Meter: 5 × cm/m × cm/m
Cancel The Comman factor of cm
Result in Meters: 5/m
Divide the 5 by 100
Result in Meters: 0.05 meters
∴ 5 Centimeters = 0.05 meters
Unit Conversion of 6 in = 0.1524 m
6 inches is 0.1524 meters
To convert inches to meter
we know that, 1 inch = 0.0254 meters
To convert inches to meter,multiply the inches value by 0.0254.
Result in Inches: 6 in x 0.0254 × m/in
Cancel The Comman factor of m
Result in Meters: (6 x 0.0254 m)
Multiply 6 into 0.0254
Result in meters: 0.1524 meters
∴ 6 inches = 0.1524 meters
A=($0.1524 \cdot0.05+0.1524$$\sqrt{(\frac{0.05}{2})^2+(10)^2}$$+0.05$$\sqrt{(\frac{0.1524}{2})^2+(10)^2}$) m
Simplify each term.
Multiply 0.1524 m by 0.05 m
A = $0.00762+0.1524$$\sqrt{(\frac{0.05}{2})^2+(10)^2}$$+0.05$$\sqrt{(\frac{0.1524}{2})^2+(10)^2}$
Square root of $\sqrt{(\frac{0.05}{2})^2+(10)^2}$ is 10.0000312
Put The values in Area Formula:
A= $0.00762+ 0.1524 \cdot 10.0000312+0.05$$\sqrt{(\frac{0.1524}{2})^2+(10)^2}$
Square Root of $\sqrt{(\frac{0.1524}{2})^2+(10)^2}$ is 10.0002903
Put The values in Area Formula:
A= 0.00762 + (0.1524 x 10.0000312) + (0.05 x 10.0002903)
Multiply 0.1524 and 10.0000312
A= 0.00762 + 1.5240048 + (0.05 x 10.0002903)
Multiply 0.05 and 10.0002903
A= 0.00762 + 1.5240048 + 0.5000145
Add 0.00762 and 1.5240048
A= 1.5316248 + 0.5000145
A=$2.0316393$ m2
∴ The Surface Area of Pyramid length 6 in , width 5 cm and height 10 m is 2.0316393 m2
or
Unit Conversion of 6 in = 15.24 cm
6 Inches is 15.24 Centimeters
To convert Inches to Centimeters
we know that, 1 Inche = 2.54 Centimeters
To convert Inches to Centimeters, multiply the inche value by 2.54
Result in Centimeters: 6 in × 2.54 × cm/in
Cancel The Comman factor of in
Result in Centimeters: (6 x 2.54 cm)
Multiply 6 into 2.54
Result in Centimeters: 15.24 Centimeters
∴ 6 Inches = 15.24 Centimeters
Unit Conversion of 10 m = 1000.0 cm
10 Meters is 1000.0 Centimeters
To convert Meter to Centimeters
we know that, 1 Meter = 100 Centimeters
To convert Meter to Centimeters, multiply the kilometer value by 100
Result in Centimeters: 10 m × 100 × cm/m
Cancel The Comman factor of m
Result in Centimeters: (10 x 100 cm)
Multiply 10 into 100
Result in Centimeters: 1000.0 Centimeters
∴ 10 Meters = 1000.0 Centimeters
A=($15.24 \cdot5+15.24$$\sqrt{(\frac{5}{2})^2+(1000.0)^2}$$+5$$\sqrt{(\frac{15.24}{2})^2+(1000.0)^2}$) cm
Simplify each term.
Multiply 15.24 cm by 5 cm
A = $76.2+15.24$$\sqrt{(\frac{5}{2})^2+(1000.0)^2}$$+5$$\sqrt{(\frac{15.24}{2})^2+(1000.0)^2}$
Square root of $\sqrt{(\frac{5}{2})^2+(10)^2}$ is 1000.003125
Put The values in Area Formula:
A= $76.2+ 15.24 \cdot 1000.003125+5$$\sqrt{(\frac{15.24}{2})^2+(1000.0)^2}$
Square Root of $\sqrt{(\frac{15.24}{2})^2+(1000.0)^2}$ is 1000.0290318
Put The values in Area Formula:
A = 76.2 + (15.24 x 1000.003125) + (5 x 1000.0290318)
Multiply 15.24 and 1000.003125
A = 76.2 + 15240.0476249 +(5 x 1000.0290318)
Multiply 5 and 1000.0290318
A= 76.2 + 15240.0476249 + 5000.1451589
Add 76.2 and 15240.0476249
A = 15316.2476249 + 5000.1451589
A= 20316.3927838 cm2
∴ The Surface Area of Pyramid length 6 in , width 5 cm and height 10 m is 20316.3927838 cm2