Surface area of a Pyramid 4 yards by 40 foot by 7 meters Calculator
The Surface Area of Pyramid 4 yards by width 40 foot by height 7 meters is 196.8761651 yards2 or 166.7529409 meters2 or 1794.9137531 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 4 yards by width 40 foot by height 7 meters is 196.8761651 yards2 or 166.7529409 meters2 or 1794.9137531 foot2
Surface Area of a Pyramid 4 yd by 40 ft by 7 m in other units
| Value | unit |
|---|---|
| 0.1800236 | km2 |
| 0.1118617 | mi2 |
| 180.0235654 | m2 |
| 590.6284953 | ft2 |
| 7087.5419436 | in2 |
| 196.8761651 | yd2 |
| 18002.3565367 | cm2 |
| 180023.5653674 | mm2 |
Steps:
The Surface area of Pyramid A = $lw+l$$\sqrt{(\frac{w}{2})^2+(h)^2}$$+w$$\sqrt{(\frac{l}{2})^2+(h)^2}$
Substitute the values of the length l = 4 yd, the width w = 40 ft and the height h = 7 m into the formula for surface area of a pyramid
Unit Conversion of 7 m = 7.6552973 yd
7 Meter is 7.6552973 yards
To convert Meter to Yards
we know that, 1 Meter = 1.0936139 Yards
To convert Meter to Yards, multiply the mile value by 1.0936139
Result in Yards: 7 m × 1.0936139 × yd/m
Cancel The Comman factor of m
Result in Yards: (7 x 1.0936139 yd)
Multiply 7 into 1.0936139
Result in Yards: 7.6552973 yards
∴ 7 Meter = 7.6552973 yards
Unit Conversion of 40 ft = 13.3333333 yd
40 Feet is 13.3333333 yards
To convert Feet to Yards
we know that, 1 Foot = 0.333333 or
1 Foot = 1/3 Yards
To convert Feet to Yards, divide the feet value by 3
Result in Yards: 40 × ft/yd × ft/yd
Cancel The Comman factor of ft
Result in Yards: 40/3 yd
Divide the 40 by 3
Result in Yards: 13.3333333 yards
∴ 40 Feet = 13.3333333 yards
A=($4 \cdot13.3333333+4$$\sqrt{(\frac{13.3333333}{2})^2+(7.6552973)^2}$$+13.3333333$$\sqrt{(\frac{4}{2})^2+(7.6552973)^2}$) yd
Simplify each term.
Multiply 4 yd by 13.3333333 yd
A = $53.3333332+4$$\sqrt{(\frac{13.3333333}{2})^2+(7.6552973)^2}$$+13.3333333$$\sqrt{(\frac{4}{2})^2+(7.6552973)^2}$
Square root of $\sqrt{(\frac{13.3333333}{2})^2+(7.6552973)^2}$ is 10.1512571
Put The values in Area Formula:
A= $53.3333332+ 4 \cdot 10.1512571+13.3333333$$\sqrt{(\frac{4}{2})^2+(7.6552973)^2}$
Square Root of $\sqrt{(\frac{4}{2})^2+(7.6552973)^2}$ is 7.7203353
Put The values in Area Formula:
A= 53.3333332 + (4 x 10.1512571) + (13.3333333 x 7.7203353)
Multiply 4 and 10.1512571
A= 53.3333332 + 40.6050285 + (13.3333333 x 7.7203353)
Multiply 13.3333333 and 7.7203353
A= 53.3333332 + 40.6050285 + 102.9378034
Add 53.3333332 and 40.6050285
A= 93.9383617 + 102.9378034
A= 196.8761651 yd2
∴ The Surface Area of Pyramid length 4 yd , width 40 ft and height 7 m is 196.8761651 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 4 yd = 3.6576 m
4 Yard is 3.6576 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: 4 yd × 0.9144 × m/yd
Cancel The Comman factor of yd
Result in Meters: (4 x 0.9144 m)
Multiply 4 into 0.9144
Result in Meters: 3.6576 meters
∴ 4 Yard = 3.6576 meters
A=($3.6576 \cdot12.192+3.6576$$\sqrt{(\frac{12.192}{2})^2+(7)^2}$$+12.192$$\sqrt{(\frac{3.6576}{2})^2+(7)^2}$) m
Simplify each term.
Multiply 3.6576 m by 12.192 m
A = $44.5934592+3.6576$$\sqrt{(\frac{12.192}{2})^2+(7)^2}$$+12.192$$\sqrt{(\frac{3.6576}{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= $44.5934592+ 3.6576 \cdot 9.2823066+12.192$$\sqrt{(\frac{3.6576}{2})^2+(7)^2}$
Square Root of $\sqrt{(\frac{3.6576}{2})^2+(7)^2}$ is 7.2349505
Put The values in Area Formula:
A= 44.5934592 + (3.6576 x 9.2823066) + (12.192 x 7.2349505)
Multiply 3.6576 and 9.2823066
A= 44.5934592 + 33.9509647 + (12.192 x 7.2349505)
Multiply 12.192 and 7.2349505
A= 44.5934592 + 33.9509647 + 88.2085171
Add 44.5934592 and 33.9509647
A= 78.5444239 + 88.2085171
A=$166.7529409$ m2
∴ The Surface Area of Pyramid length 4 yd , width 40 ft and height 7 m is 166.7529409 m2
or
Unit Conversion of 4 yd = 12.0 ft
4 Yards is 12.0 foots
To convert Yards to Foot
we know that, 1 Yards = 3 Feet
To convert Yards to Foot, multiply the yard value by 3.
Result in Feet: 4 yd x 3 × ft/yd
Cancel The Comman factor of yd
Result in Feet: (4 x 3 ft)
Multiply 4 into 3
Result in Feet: 12.0 feets
∴ 4 Yards = 12.0 foots
Unit Conversion of 7 m = 22.96588 ft
7 Meters is 22.96588 foot
To convert Meters to Foot
we know that, 1 Meter = 3.28084 Foot
To convert Meter to Foot, multiply the meter value by 3.28084.
Result in Foot: 7 m × 3.28084 × ft/m
Cancel The Comman factor of m
Result in Foot: (7 x 3.28084 ft)
Multiply 7 into 3.28084
Result in Foot: 22.96588 foot
∴ 7 Meters = 22.96588 foot
A=($12.0 \cdot40+12.0$$\sqrt{(\frac{40}{2})^2+(22.96588)^2}$$+40$$\sqrt{(\frac{12.0}{2})^2+(22.96588)^2}$) ft
Simplify each term.
Multiply 12.0 ft by 40 ft
A = $480.0+12.0$$\sqrt{(\frac{40}{2})^2+(22.96588)^2}$$+40$$\sqrt{(\frac{12.0}{2})^2+(22.96588)^2}$
Square root of $\sqrt{(\frac{40}{2})^2+(7)^2}$ is 30.4537624
Put The values in Area Formula:
A= $480.0+ 12.0 \cdot 30.4537624+40$$\sqrt{(\frac{12.0}{2})^2+(22.96588)^2}$
Square Root of $\sqrt{(\frac{12.0}{2})^2+(22.96588)^2}$ is 23.7367151
Put The values in Area Formula:
A = 480.0 + (12.0 x 30.4537624) + (40 x 23.7367151)
Multiply 12.0 and 30.4537624
A = 480.0 + 365.4451488 +(40 x 23.7367151)
Multiply 40 and 23.7367151
A= 480.0 + 365.4451488 + 949.4686044
Add 480.0 and 365.4451488
A = 845.4451488 + 949.4686044
A= 1794.9137531 ft2
∴ The Surface Area of Pyramid length 4 yd , width 40 ft and height 7 m is 1794.9137531 ft2