Surface area of a Pyramid 8 yards by 40 foot by 7 meters Calculator
The Surface Area of Pyramid 8 yards by width 40 foot by height 7 meters is 291.6744552 yards2 or 253.380981 meters2 or 2727.3702205 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 8 yards by width 40 foot by height 7 meters is 291.6744552 yards2 or 253.380981 meters2 or 2727.3702205 foot2
Surface Area of a Pyramid 8 yd by 40 ft by 7 m in other units
| Value | unit |
|---|---|
| 0.2667071 | km2 |
| 0.1657245 | mi2 |
| 266.7071218 | m2 |
| 875.0233656 | ft2 |
| 10500.2803872 | in2 |
| 291.6744552 | yd2 |
| 26670.7121835 | cm2 |
| 266707.1218349 | mm2 |
Steps:
The Surface area of Pyramid A = $lw+l$$\sqrt{(\frac{w}{2})^2+(h)^2}$$+w$$\sqrt{(\frac{l}{2})^2+(h)^2}$
Substitute the values of the length l = 8 yd, the width w = 40 ft and the height h = 7 m into the formula for surface area of a pyramid
Unit Conversion of 7 m = 7.6552973 yd
7 Meter is 7.6552973 yards
To convert Meter to Yards
we know that, 1 Meter = 1.0936139 Yards
To convert Meter to Yards, multiply the mile value by 1.0936139
Result in Yards: 7 m × 1.0936139 × yd/m
Cancel The Comman factor of m
Result in Yards: (7 x 1.0936139 yd)
Multiply 7 into 1.0936139
Result in Yards: 7.6552973 yards
∴ 7 Meter = 7.6552973 yards
Unit Conversion of 40 ft = 13.3333333 yd
40 Feet is 13.3333333 yards
To convert Feet to Yards
we know that, 1 Foot = 0.333333 or
1 Foot = 1/3 Yards
To convert Feet to Yards, divide the feet value by 3
Result in Yards: 40 × ft/yd × ft/yd
Cancel The Comman factor of ft
Result in Yards: 40/3 yd
Divide the 40 by 3
Result in Yards: 13.3333333 yards
∴ 40 Feet = 13.3333333 yards
A=($8 \cdot13.3333333+8$$\sqrt{(\frac{13.3333333}{2})^2+(7.6552973)^2}$$+13.3333333$$\sqrt{(\frac{8}{2})^2+(7.6552973)^2}$) yd
Simplify each term.
Multiply 8 yd by 13.3333333 yd
A = $106.6666664+8$$\sqrt{(\frac{13.3333333}{2})^2+(7.6552973)^2}$$+13.3333333$$\sqrt{(\frac{8}{2})^2+(7.6552973)^2}$
Square root of $\sqrt{(\frac{13.3333333}{2})^2+(7.6552973)^2}$ is 10.1512571
Put The values in Area Formula:
A= $106.6666664+ 8 \cdot 10.1512571+13.3333333$$\sqrt{(\frac{8}{2})^2+(7.6552973)^2}$
Square Root of $\sqrt{(\frac{8}{2})^2+(7.6552973)^2}$ is 7.7848299
Put The values in Area Formula:
A= 106.6666664 + (8 x 10.1512571) + (13.3333333 x 7.7848299)
Multiply 8 and 10.1512571
A= 106.6666664 + 81.2100569 + (13.3333333 x 7.7848299)
Multiply 13.3333333 and 7.7848299
A= 106.6666664 + 81.2100569 + 103.7977319
Add 106.6666664 and 81.2100569
A= 187.8767233 + 103.7977319
A= 291.6744552 yd2
∴ The Surface Area of Pyramid length 8 yd , width 40 ft and height 7 m is 291.6744552 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 8 yd = 7.3152 m
8 Yard is 7.3152 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: 8 yd × 0.9144 × m/yd
Cancel The Comman factor of yd
Result in Meters: (8 x 0.9144 m)
Multiply 8 into 0.9144
Result in Meters: 7.3152 meters
∴ 8 Yard = 7.3152 meters
A=($7.3152 \cdot12.192+7.3152$$\sqrt{(\frac{12.192}{2})^2+(7)^2}$$+12.192$$\sqrt{(\frac{7.3152}{2})^2+(7)^2}$) m
Simplify each term.
Multiply 7.3152 m by 12.192 m
A = $89.1869184+7.3152$$\sqrt{(\frac{12.192}{2})^2+(7)^2}$$+12.192$$\sqrt{(\frac{7.3152}{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= $89.1869184+ 7.3152 \cdot 9.2823066+12.192$$\sqrt{(\frac{7.3152}{2})^2+(7)^2}$
Square Root of $\sqrt{(\frac{7.3152}{2})^2+(7)^2}$ is 7.8979768
Put The values in Area Formula:
A= 89.1869184 + (7.3152 x 9.2823066) + (12.192 x 7.8979768)
Multiply 7.3152 and 9.2823066
A= 89.1869184 + 67.9019293 + (12.192 x 7.8979768)
Multiply 12.192 and 7.8979768
A= 89.1869184 + 67.9019293 + 96.2921333
Add 89.1869184 and 67.9019293
A= 157.0888477 + 96.2921333
A=$253.380981$ m2
∴ The Surface Area of Pyramid length 8 yd , width 40 ft and height 7 m is 253.380981 m2
or
Unit Conversion of 8 yd = 24.0 ft
8 Yards is 24.0 foots
To convert Yards to Foot
we know that, 1 Yards = 3 Feet
To convert Yards to Foot, multiply the yard value by 3.
Result in Feet: 8 yd x 3 × ft/yd
Cancel The Comman factor of yd
Result in Feet: (8 x 3 ft)
Multiply 8 into 3
Result in Feet: 24.0 feets
∴ 8 Yards = 24.0 foots
Unit Conversion of 7 m = 22.96588 ft
7 Meters is 22.96588 foot
To convert Meters to Foot
we know that, 1 Meter = 3.28084 Foot
To convert Meter to Foot, multiply the meter value by 3.28084.
Result in Foot: 7 m × 3.28084 × ft/m
Cancel The Comman factor of m
Result in Foot: (7 x 3.28084 ft)
Multiply 7 into 3.28084
Result in Foot: 22.96588 foot
∴ 7 Meters = 22.96588 foot
A=($24.0 \cdot40+24.0$$\sqrt{(\frac{40}{2})^2+(22.96588)^2}$$+40$$\sqrt{(\frac{24.0}{2})^2+(22.96588)^2}$) ft
Simplify each term.
Multiply 24.0 ft by 40 ft
A = $960.0+24.0$$\sqrt{(\frac{40}{2})^2+(22.96588)^2}$$+40$$\sqrt{(\frac{24.0}{2})^2+(22.96588)^2}$
Square root of $\sqrt{(\frac{40}{2})^2+(7)^2}$ is 30.4537624
Put The values in Area Formula:
A= $960.0+ 24.0 \cdot 30.4537624+40$$\sqrt{(\frac{24.0}{2})^2+(22.96588)^2}$
Square Root of $\sqrt{(\frac{24.0}{2})^2+(22.96588)^2}$ is 25.9119981
Put The values in Area Formula:
A = 960.0 + (24.0 x 30.4537624) + (40 x 25.9119981)
Multiply 24.0 and 30.4537624
A = 960.0 + 730.8902975 +(40 x 25.9119981)
Multiply 40 and 25.9119981
A= 960.0 + 730.8902975 + 1036.479923
Add 960.0 and 730.8902975
A = 1690.8902975 + 1036.479923
A= 2727.3702205 ft2
∴ The Surface Area of Pyramid length 8 yd , width 40 ft and height 7 m is 2727.3702205 ft2