Surface area of a Pyramid 6 yards by 40 foot by 7 meters Calculator
The Surface Area of Pyramid 6 yards by width 40 foot by height 7 meters is 244.2762044 yards2 or 209.4800018 meters2 or 2254.8240112 foot2
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 40 foot by height 7 meters is 244.2762044 yards2 or 209.4800018 meters2 or 2254.8240112 foot2
Surface Area of a Pyramid 6 yd by 40 ft by 7 m in other units
| Value | unit |
|---|---|
| 0.2233662 | km2 |
| 0.1387936 | mi2 |
| 223.3661613 | m2 |
| 732.8286132 | ft2 |
| 8793.9433584 | in2 |
| 244.2762044 | yd2 |
| 22336.6161303 | cm2 |
| 223366.1613034 | mm2 |
Steps:
The Surface area of Pyramid A = $lw+l$$\sqrt{(\frac{w}{2})^2+(h)^2}$$+w$$\sqrt{(\frac{l}{2})^2+(h)^2}$
Substitute the values of the length l = 6 yd, the width w = 40 ft and the height h = 7 m into the formula for surface area of a pyramid
Unit Conversion of 7 m = 7.6552973 yd
7 Meter is 7.6552973 yards
To convert Meter to Yards
we know that, 1 Meter = 1.0936139 Yards
To convert Meter to Yards, multiply the mile value by 1.0936139
Result in Yards: 7 m × 1.0936139 × yd/m
Cancel The Comman factor of m
Result in Yards: (7 x 1.0936139 yd)
Multiply 7 into 1.0936139
Result in Yards: 7.6552973 yards
∴ 7 Meter = 7.6552973 yards
Unit Conversion of 40 ft = 13.3333333 yd
40 Feet is 13.3333333 yards
To convert Feet to Yards
we know that, 1 Foot = 0.333333 or
1 Foot = 1/3 Yards
To convert Feet to Yards, divide the feet value by 3
Result in Yards: 40 × ft/yd × ft/yd
Cancel The Comman factor of ft
Result in Yards: 40/3 yd
Divide the 40 by 3
Result in Yards: 13.3333333 yards
∴ 40 Feet = 13.3333333 yards
A=($6 \cdot13.3333333+6$$\sqrt{(\frac{13.3333333}{2})^2+(7.6552973)^2}$$+13.3333333$$\sqrt{(\frac{6}{2})^2+(7.6552973)^2}$) yd
Simplify each term.
Multiply 6 yd by 13.3333333 yd
A = $79.9999998+6$$\sqrt{(\frac{13.3333333}{2})^2+(7.6552973)^2}$$+13.3333333$$\sqrt{(\frac{6}{2})^2+(7.6552973)^2}$
Square root of $\sqrt{(\frac{13.3333333}{2})^2+(7.6552973)^2}$ is 10.1512571
Put The values in Area Formula:
A= $79.9999998+ 6 \cdot 10.1512571+13.3333333$$\sqrt{(\frac{6}{2})^2+(7.6552973)^2}$
Square Root of $\sqrt{(\frac{6}{2})^2+(7.6552973)^2}$ is 7.7526497
Put The values in Area Formula:
A= 79.9999998 + (6 x 10.1512571) + (13.3333333 x 7.7526497)
Multiply 6 and 10.1512571
A= 79.9999998 + 60.9075427 + (13.3333333 x 7.7526497)
Multiply 13.3333333 and 7.7526497
A= 79.9999998 + 60.9075427 + 103.3686619
Add 79.9999998 and 60.9075427
A= 140.9075425 + 103.3686619
A= 244.2762044 yd2
∴ The Surface Area of Pyramid length 6 yd , width 40 ft and height 7 m is 244.2762044 yd2
or
Unit Conversion of 40 ft = 12.192 m
40 Foot is 12.192 meters
To convert Feet to Meter
we know that, 1 Foot = 0.3048 Meter
To convert Foot to meters, multiply the feet value by 0.3048.
Result in Meter: 40 ft × 0.3048 × m/ft
Cancel The Comman factor of ft
Result in Meters: (40 x 0.3048 m)
Multiply 40 into 0.3048
Result in Meters: 12.192 meters
∴ 40 Foot = 12.192 meters
Unit Conversion of 6 yd = 5.4864 m
6 Yard is 5.4864 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: 6 yd × 0.9144 × m/yd
Cancel The Comman factor of yd
Result in Meters: (6 x 0.9144 m)
Multiply 6 into 0.9144
Result in Meters: 5.4864 meters
∴ 6 Yard = 5.4864 meters
A=($5.4864 \cdot12.192+5.4864$$\sqrt{(\frac{12.192}{2})^2+(7)^2}$$+12.192$$\sqrt{(\frac{5.4864}{2})^2+(7)^2}$) m
Simplify each term.
Multiply 5.4864 m by 12.192 m
A = $66.8901888+5.4864$$\sqrt{(\frac{12.192}{2})^2+(7)^2}$$+12.192$$\sqrt{(\frac{5.4864}{2})^2+(7)^2}$
Square root of $\sqrt{(\frac{12.192}{2})^2+(7)^2}$ is 9.2823066
Put The values in Area Formula:
A= $66.8901888+ 5.4864 \cdot 9.2823066+12.192$$\sqrt{(\frac{5.4864}{2})^2+(7)^2}$
Square Root of $\sqrt{(\frac{5.4864}{2})^2+(7)^2}$ is 7.5183207
Put The values in Area Formula:
A= 66.8901888 + (5.4864 x 9.2823066) + (12.192 x 7.5183207)
Multiply 5.4864 and 9.2823066
A= 66.8901888 + 50.926447 + (12.192 x 7.5183207)
Multiply 12.192 and 7.5183207
A= 66.8901888 + 50.926447 + 91.663366
Add 66.8901888 and 50.926447
A= 117.8166358 + 91.663366
A=$209.4800018$ m2
∴ The Surface Area of Pyramid length 6 yd , width 40 ft and height 7 m is 209.4800018 m2
or
Unit Conversion of 6 yd = 18.0 ft
6 Yards is 18.0 foots
To convert Yards to Foot
we know that, 1 Yards = 3 Feet
To convert Yards to Foot, multiply the yard value by 3.
Result in Feet: 6 yd x 3 × ft/yd
Cancel The Comman factor of yd
Result in Feet: (6 x 3 ft)
Multiply 6 into 3
Result in Feet: 18.0 feets
∴ 6 Yards = 18.0 foots
Unit Conversion of 7 m = 22.96588 ft
7 Meters is 22.96588 foot
To convert Meters to Foot
we know that, 1 Meter = 3.28084 Foot
To convert Meter to Foot, multiply the meter value by 3.28084.
Result in Foot: 7 m × 3.28084 × ft/m
Cancel The Comman factor of m
Result in Foot: (7 x 3.28084 ft)
Multiply 7 into 3.28084
Result in Foot: 22.96588 foot
∴ 7 Meters = 22.96588 foot
A=($18.0 \cdot40+18.0$$\sqrt{(\frac{40}{2})^2+(22.96588)^2}$$+40$$\sqrt{(\frac{18.0}{2})^2+(22.96588)^2}$) ft
Simplify each term.
Multiply 18.0 ft by 40 ft
A = $720.0+18.0$$\sqrt{(\frac{40}{2})^2+(22.96588)^2}$$+40$$\sqrt{(\frac{18.0}{2})^2+(22.96588)^2}$
Square root of $\sqrt{(\frac{40}{2})^2+(7)^2}$ is 30.4537624
Put The values in Area Formula:
A= $720.0+ 18.0 \cdot 30.4537624+40$$\sqrt{(\frac{18.0}{2})^2+(22.96588)^2}$
Square Root of $\sqrt{(\frac{18.0}{2})^2+(22.96588)^2}$ is 24.6664072
Put The values in Area Formula:
A = 720.0 + (18.0 x 30.4537624) + (40 x 24.6664072)
Multiply 18.0 and 30.4537624
A = 720.0 + 548.1677232 +(40 x 24.6664072)
Multiply 40 and 24.6664072
A= 720.0 + 548.1677232 + 986.656288
Add 720.0 and 548.1677232
A = 1268.1677232 + 986.656288
A= 2254.8240112 ft2
∴ The Surface Area of Pyramid length 6 yd , width 40 ft and height 7 m is 2254.8240112 ft2