Surface area of a Pyramid 7 meters by 71 yards by 6 inches Calculator
The Surface Area of Pyramid 7 meters by width 71 yards by height 6 inches is 768.1400102 meters2 or 1409153.6907125 inches2 or 1087.3127181 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 7 meters by width 71 yards by height 6 inches is 768.1400102 meters2 or 1409153.6907125 inches2 or 1087.3127181 yards2
Surface Area of a Pyramid 7 m by 71 yd by 6 in in other units
Value | unit |
---|---|
0.76814 | km2 |
0.4773013 | mi2 |
768.1400102 | m2 |
2520.1443904 | ft2 |
30241.732685 | in2 |
840.0481301 | yd2 |
76814.00102 | cm2 |
768140.0102 | mm2 |
Steps:
The Surface area of Pyramid A = $lw+l$$\sqrt{(\frac{w}{2})^2+(h)^2}$$+w$$\sqrt{(\frac{l}{2})^2+(h)^2}$
Substitute the values of the length l = 7 m, the width w = 71 yd and the height h = 6 in into the formula for surface area of a pyramid
Unit Conversion of 6 in = 0.1524 m
6 inches is 0.1524 meters
To convert inches to meter
we know that, 1 inch = 0.0254 meters
To convert inches to meter,multiply the inches value by 0.0254.
Result in Inches: 6 in x 0.0254 × m/in
Cancel The Comman factor of m
Result in Meters: (6 x 0.0254 m)
Multiply 6 into 0.0254
Result in meters: 0.1524 meters
∴ 6 inches = 0.1524 meters
Unit Conversion of 71 yd = 64.9224 m
71 Yard is 64.9224 meters
To convert Yard to Meter
we know that, 1 Yard = 0.9144 Meter
To convert Yards to meters, multiply the yard value by 0.9144.
Result in Meter: 71 yd × 0.9144 × m/yd
Cancel The Comman factor of yd
Result in Meters: (71 x 0.9144 m)
Multiply 71 into 0.9144
Result in Meters: 64.9224 meters
∴ 71 Yard = 64.9224 meters
A=($7 \cdot64.9224+7$$\sqrt{(\frac{64.9224}{2})^2+(0.1524)^2}$$+64.9224$$\sqrt{(\frac{7}{2})^2+(0.1524)^2}$) m
Simplify each term.
Multiply 7 m by 64.9224 m
A = $454.4568+7$$\sqrt{(\frac{64.9224}{2})^2+(0.1524)^2}$$+64.9224$$\sqrt{(\frac{7}{2})^2+(0.1524)^2}$
Square root of $\sqrt{(\frac{64.9224}{2})^2+(0.1524)^2}$ is 32.4615577
Put The values in Area Formula:
A= $454.4568+ 7 \cdot 32.4615577+64.9224$$\sqrt{(\frac{7}{2})^2+(0.1524)^2}$
Square Root of $\sqrt{(\frac{7}{2})^2+(0.1524)^2}$ is 1.3316252
Put The values in Area Formula:
A= 454.4568 + (7 x 32.4615577) + (64.9224 x 1.3316252)
Multiply 7 and 32.4615577
A= 454.4568 + 227.2309042 + (64.9224 x 1.3316252)
Multiply 64.9224 and 1.3316252
A= 454.4568 + 227.2309042 + 86.452306
Add 454.4568 and 227.2309042
A= 681.6877042 + 86.452306
A= 768.1400102 m2
∴ The Surface Area of Pyramid length 7 m , width 71 yd and height 6 in is 768.1400102 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 7 m = 275.59 in
7 meter is 275.59 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: 7 m × 39.37 × in/m
Cancel The Comman factor of m
Result in Inches: (7 * 39.37 in)
Multiply 275.59 into 39.37
∴ 7 meter = 275.59 inches
A=($275.59 \cdot2556.0+275.59$$\sqrt{(\frac{2556.0}{2})^2+(6)^2}$$+2556.0$$\sqrt{(\frac{275.59}{2})^2+(6)^2}$) in
Simplify each term.
Multiply 275.59 in by 2556.0 in
A = $704408.04+275.59$$\sqrt{(\frac{2556.0}{2})^2+(6)^2}$$+2556.0$$\sqrt{(\frac{275.59}{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= $704408.04+ 275.59 \cdot 1278.0140844+2556.0$$\sqrt{(\frac{275.59}{2})^2+(6)^2}$
Square Root of $\sqrt{(\frac{275.59}{2})^2+(6)^2}$ is 137.925567
Put The values in Area Formula:
A= 704408.04 + (275.59 x 1278.0140844) + (2556.0 x 137.925567)
Multiply 275.59 and 1278.0140844
A= 704408.04 + 352207.9015279 + (2556.0 x 137.925567)
Multiply 2556.0 and 137.925567
A= 704408.04 + 352207.9015279 + 352537.7491846
Add 704408.04 and 352207.9015279
A= 1056615.9415279 + 352537.7491846
A=$1409153.6907125$ in2
∴ The Surface Area of Pyramid length 7 m , width 71 yd and height 6 in is 1409153.6907125 in2
or
Unit Conversion of 7 m = 7.6552973 yd
7 Meter is 7.6552973 yards
To convert Meter to Yards
we know that, 1 Meter = 1.0936139 Yards
To convert Meter to Yards, multiply the mile value by 1.0936139
Result in Yards: 7 m × 1.0936139 × yd/m
Cancel The Comman factor of m
Result in Yards: (7 x 1.0936139 yd)
Multiply 7 into 1.0936139
Result in Yards: 7.6552973 yards
∴ 7 Meter = 7.6552973 yards
Unit Conversion of 6 in = 0.1666667 yd
6 Inches is 0.1666667 yards
To convert Inche to Yards
we know that, 1 Inche = 0.02778 Yards or
1 Inche = 1/36 Yards
To convert Inche to Yards, divide the inche value by 36
Result in Foot: 6 × in/12 × yd/in
Cancel The Comman factor of in
Result in Foot: 6/36
Divide the 6 by 36
Result in Yards: 0.1666667 yards
∴ 6 Inches = 0.1666667 yards
A=($7.6552973 \cdot71+7.6552973$$\sqrt{(\frac{71}{2})^2+(0.1666667)^2}$$+71$$\sqrt{(\frac{7.6552973}{2})^2+(0.1666667)^2}$) yd
Simplify each term.
Multiply 7.6552973 yd by 71 yd
A = $543.5261083+7.6552973$$\sqrt{(\frac{71}{2})^2+(0.1666667)^2}$$+71$$\sqrt{(\frac{7.6552973}{2})^2+(0.1666667)^2}$
Square root of $\sqrt{(\frac{71}{2})^2+(6)^2}$ is 35.5003912
Put The values in Area Formula:
A= $543.5261083+ 7.6552973 \cdot 35.5003912+71$$\sqrt{(\frac{7.6552973}{2})^2+(0.1666667)^2}$
Square Root of $\sqrt{(\frac{7.6552973}{2})^2+(0.1666667)^2}$ is 3.8312755
Put The values in Area Formula:
A = 543.5261083 + (7.6552973 x 35.5003912) + (71 x 3.8312755)
Multiply 7.6552973 and 35.5003912
A = 543.5261083 + 271.7660492 +(71 x 3.8312755)
Multiply 71 and 3.8312755
A= 543.5261083 + 271.7660492 + 272.0205607
Add 543.5261083 and 271.7660492
A = 815.2921575 + 272.0205607
A= 1087.3127181 yd2
∴ The Surface Area of Pyramid length 7 m , width 71 yd and height 6 in is 1087.3127181 yd2