Surface area of a Pyramid 4 meters by 71 yards by 6 inches Calculator
The Surface Area of Pyramid 4 meters by width 71 yards by height 6 inches is 455.2078394 meters2 or 805623.435055 inches2 or 621.624604 yards2
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 4 meters by width 71 yards by height 6 inches is 455.2078394 meters2 or 805623.435055 inches2 or 621.624604 yards2
Surface Area of a Pyramid 4 m by 71 yd by 6 in in other units
| Value | unit |
|---|---|
| 0.4552078 | km2 |
| 0.2828537 | mi2 |
| 455.2078394 | m2 |
| 1493.46404 | ft2 |
| 17921.5684803 | in2 |
| 497.8213467 | yd2 |
| 45520.78394 | cm2 |
| 455207.8394 | mm2 |
Steps:
The Surface area of Pyramid A = $lw+l$$\sqrt{(\frac{w}{2})^2+(h)^2}$$+w$$\sqrt{(\frac{l}{2})^2+(h)^2}$
Substitute the values of the length l = 4 m, the width w = 71 yd and the height h = 6 in into the formula for surface area of a pyramid
Unit Conversion of 6 in = 0.1524 m
6 inches is 0.1524 meters
To convert inches to meter
we know that, 1 inch = 0.0254 meters
To convert inches to meter,multiply the inches value by 0.0254.
Result in Inches: 6 in x 0.0254 × m/in
Cancel The Comman factor of m
Result in Meters: (6 x 0.0254 m)
Multiply 6 into 0.0254
Result in meters: 0.1524 meters
∴ 6 inches = 0.1524 meters
Unit Conversion of 71 yd = 64.9224 m
71 Yard is 64.9224 meters
To convert Yard to Meter
we know that, 1 Yard = 0.9144 Meter
To convert Yards to meters, multiply the yard value by 0.9144.
Result in Meter: 71 yd × 0.9144 × m/yd
Cancel The Comman factor of yd
Result in Meters: (71 x 0.9144 m)
Multiply 71 into 0.9144
Result in Meters: 64.9224 meters
∴ 71 Yard = 64.9224 meters
A=($4 \cdot64.9224+4$$\sqrt{(\frac{64.9224}{2})^2+(0.1524)^2}$$+64.9224$$\sqrt{(\frac{4}{2})^2+(0.1524)^2}$) m
Simplify each term.
Multiply 4 m by 64.9224 m
A = $259.6896+4$$\sqrt{(\frac{64.9224}{2})^2+(0.1524)^2}$$+64.9224$$\sqrt{(\frac{4}{2})^2+(0.1524)^2}$
Square root of $\sqrt{(\frac{64.9224}{2})^2+(0.1524)^2}$ is 32.4615577
Put The values in Area Formula:
A= $259.6896+ 4 \cdot 32.4615577+64.9224$$\sqrt{(\frac{4}{2})^2+(0.1524)^2}$
Square Root of $\sqrt{(\frac{4}{2})^2+(0.1524)^2}$ is 1.0115462
Put The values in Area Formula:
A= 259.6896 + (4 x 32.4615577) + (64.9224 x 1.0115462)
Multiply 4 and 32.4615577
A= 259.6896 + 129.846231 + (64.9224 x 1.0115462)
Multiply 64.9224 and 1.0115462
A= 259.6896 + 129.846231 + 65.6720085
Add 259.6896 and 129.846231
A= 389.535831 + 65.6720085
A= 455.2078394 m2
∴ The Surface Area of Pyramid length 4 m , width 71 yd and height 6 in is 455.2078394 m2
or
Unit Conversion of 71 yd = 2556.0 in
71 Yards is 2556.0 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: 71 yd x 36 × in/yd
Cancel The Comman factor of yd
Result in Inches: (71 x 36 in)
Multiply 71 into 36
Result in Inches: 2556.0 inches
∴ 71 Yards = 2556.0 inches
Unit Conversion of 4 m = 157.48 in
4 meter is 157.48 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: 4 m × 39.37 × in/m
Cancel The Comman factor of m
Result in Inches: (4 * 39.37 in)
Multiply 157.48 into 39.37
∴ 4 meter = 157.48 inches
A=($157.48 \cdot2556.0+157.48$$\sqrt{(\frac{2556.0}{2})^2+(6)^2}$$+2556.0$$\sqrt{(\frac{157.48}{2})^2+(6)^2}$) in
Simplify each term.
Multiply 157.48 in by 2556.0 in
A = $402518.88+157.48$$\sqrt{(\frac{2556.0}{2})^2+(6)^2}$$+2556.0$$\sqrt{(\frac{157.48}{2})^2+(6)^2}$
Square root of $\sqrt{(\frac{2556.0}{2})^2+(6)^2}$ is 1278.0140844
Put The values in Area Formula:
A= $402518.88+ 157.48 \cdot 1278.0140844+2556.0$$\sqrt{(\frac{157.48}{2})^2+(6)^2}$
Square Root of $\sqrt{(\frac{157.48}{2})^2+(6)^2}$ is 78.9682696
Put The values in Area Formula:
A= 402518.88 + (157.48 x 1278.0140844) + (2556.0 x 78.9682696)
Multiply 157.48 and 1278.0140844
A= 402518.88 + 201261.6580159 + (2556.0 x 78.9682696)
Multiply 2556.0 and 78.9682696
A= 402518.88 + 201261.6580159 + 201842.897039
Add 402518.88 and 201261.6580159
A= 603780.5380159 + 201842.897039
A=$805623.435055$ in2
∴ The Surface Area of Pyramid length 4 m , width 71 yd and height 6 in is 805623.435055 in2
or
Unit Conversion of 4 m = 4.3744556 yd
4 Meter is 4.3744556 yards
To convert Meter to Yards
we know that, 1 Meter = 1.0936139 Yards
To convert Meter to Yards, multiply the mile value by 1.0936139
Result in Yards: 4 m × 1.0936139 × yd/m
Cancel The Comman factor of m
Result in Yards: (4 x 1.0936139 yd)
Multiply 4 into 1.0936139
Result in Yards: 4.3744556 yards
∴ 4 Meter = 4.3744556 yards
Unit Conversion of 6 in = 0.1666667 yd
6 Inches is 0.1666667 yards
To convert Inche to Yards
we know that, 1 Inche = 0.02778 Yards or
1 Inche = 1/36 Yards
To convert Inche to Yards, divide the inche value by 36
Result in Foot: 6 × in/12 × yd/in
Cancel The Comman factor of in
Result in Foot: 6/36
Divide the 6 by 36
Result in Yards: 0.1666667 yards
∴ 6 Inches = 0.1666667 yards
A=($4.3744556 \cdot71+4.3744556$$\sqrt{(\frac{71}{2})^2+(0.1666667)^2}$$+71$$\sqrt{(\frac{4.3744556}{2})^2+(0.1666667)^2}$) yd
Simplify each term.
Multiply 4.3744556 yd by 71 yd
A = $310.5863476+4.3744556$$\sqrt{(\frac{71}{2})^2+(0.1666667)^2}$$+71$$\sqrt{(\frac{4.3744556}{2})^2+(0.1666667)^2}$
Square root of $\sqrt{(\frac{71}{2})^2+(6)^2}$ is 35.5003912
Put The values in Area Formula:
A= $310.5863476+ 4.3744556 \cdot 35.5003912+71$$\sqrt{(\frac{4.3744556}{2})^2+(0.1666667)^2}$
Square Root of $\sqrt{(\frac{4.3744556}{2})^2+(0.1666667)^2}$ is 2.1935686
Put The values in Area Formula:
A = 310.5863476 + (4.3744556 x 35.5003912) + (71 x 2.1935686)
Multiply 4.3744556 and 35.5003912
A = 310.5863476 + 155.2948852 +(71 x 2.1935686)
Multiply 71 and 2.1935686
A= 310.5863476 + 155.2948852 + 155.7433712
Add 310.5863476 and 155.2948852
A = 465.8812328 + 155.7433712
A= 621.624604 yd2
∴ The Surface Area of Pyramid length 4 m , width 71 yd and height 6 in is 621.624604 yd2