Surface area of a Pyramid 3 yards by 40 foot by 7 meters Calculator
The Surface Area of Pyramid 3 yards by width 40 foot by height 7 meters is 173.1754677 yards2 or 145.8752192 meters2 or 1570.1878252 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 3 yards by width 40 foot by height 7 meters is 173.1754677 yards2 or 145.8752192 meters2 or 1570.1878252 foot2
Surface Area of a Pyramid 3 yd by 40 ft by 7 m in other units
| Value | unit |
|---|---|
| 0.1583516 | km2 |
| 0.0983954 | mi2 |
| 158.3516477 | m2 |
| 519.5264031 | ft2 |
| 6234.3168372 | in2 |
| 173.1754677 | yd2 |
| 15835.1647665 | cm2 |
| 158351.6476649 | mm2 |
Steps:
The Surface area of Pyramid A = $lw+l$$\sqrt{(\frac{w}{2})^2+(h)^2}$$+w$$\sqrt{(\frac{l}{2})^2+(h)^2}$
Substitute the values of the length l = 3 yd, the width w = 40 ft and the height h = 7 m into the formula for surface area of a pyramid
Unit Conversion of 7 m = 7.6552973 yd
7 Meter is 7.6552973 yards
To convert Meter to Yards
we know that, 1 Meter = 1.0936139 Yards
To convert Meter to Yards, multiply the mile value by 1.0936139
Result in Yards: 7 m × 1.0936139 × yd/m
Cancel The Comman factor of m
Result in Yards: (7 x 1.0936139 yd)
Multiply 7 into 1.0936139
Result in Yards: 7.6552973 yards
∴ 7 Meter = 7.6552973 yards
Unit Conversion of 40 ft = 13.3333333 yd
40 Feet is 13.3333333 yards
To convert Feet to Yards
we know that, 1 Foot = 0.333333 or
1 Foot = 1/3 Yards
To convert Feet to Yards, divide the feet value by 3
Result in Yards: 40 × ft/yd × ft/yd
Cancel The Comman factor of ft
Result in Yards: 40/3 yd
Divide the 40 by 3
Result in Yards: 13.3333333 yards
∴ 40 Feet = 13.3333333 yards
A=($3 \cdot13.3333333+3$$\sqrt{(\frac{13.3333333}{2})^2+(7.6552973)^2}$$+13.3333333$$\sqrt{(\frac{3}{2})^2+(7.6552973)^2}$) yd
Simplify each term.
Multiply 3 yd by 13.3333333 yd
A = $39.9999999+3$$\sqrt{(\frac{13.3333333}{2})^2+(7.6552973)^2}$$+13.3333333$$\sqrt{(\frac{3}{2})^2+(7.6552973)^2}$
Square root of $\sqrt{(\frac{13.3333333}{2})^2+(7.6552973)^2}$ is 10.1512571
Put The values in Area Formula:
A= $39.9999999+ 3 \cdot 10.1512571+13.3333333$$\sqrt{(\frac{3}{2})^2+(7.6552973)^2}$
Square Root of $\sqrt{(\frac{3}{2})^2+(7.6552973)^2}$ is 7.7041273
Put The values in Area Formula:
A= 39.9999999 + (3 x 10.1512571) + (13.3333333 x 7.7041273)
Multiply 3 and 10.1512571
A= 39.9999999 + 30.4537713 + (13.3333333 x 7.7041273)
Multiply 13.3333333 and 7.7041273
A= 39.9999999 + 30.4537713 + 102.7216965
Add 39.9999999 and 30.4537713
A= 70.4537712 + 102.7216965
A= 173.1754677 yd2
∴ The Surface Area of Pyramid length 3 yd , width 40 ft and height 7 m is 173.1754677 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 3 yd = 2.7432 m
3 Yard is 2.7432 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: 3 yd × 0.9144 × m/yd
Cancel The Comman factor of yd
Result in Meters: (3 x 0.9144 m)
Multiply 3 into 0.9144
Result in Meters: 2.7432 meters
∴ 3 Yard = 2.7432 meters
A=($2.7432 \cdot12.192+2.7432$$\sqrt{(\frac{12.192}{2})^2+(7)^2}$$+12.192$$\sqrt{(\frac{2.7432}{2})^2+(7)^2}$) m
Simplify each term.
Multiply 2.7432 m by 12.192 m
A = $33.4450944+2.7432$$\sqrt{(\frac{12.192}{2})^2+(7)^2}$$+12.192$$\sqrt{(\frac{2.7432}{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= $33.4450944+ 2.7432 \cdot 9.2823066+12.192$$\sqrt{(\frac{2.7432}{2})^2+(7)^2}$
Square Root of $\sqrt{(\frac{2.7432}{2})^2+(7)^2}$ is 7.133112
Put The values in Area Formula:
A= 33.4450944 + (2.7432 x 9.2823066) + (12.192 x 7.133112)
Multiply 2.7432 and 9.2823066
A= 33.4450944 + 25.4632235 + (12.192 x 7.133112)
Multiply 12.192 and 7.133112
A= 33.4450944 + 25.4632235 + 86.9669013
Add 33.4450944 and 25.4632235
A= 58.9083179 + 86.9669013
A=$145.8752192$ m2
∴ The Surface Area of Pyramid length 3 yd , width 40 ft and height 7 m is 145.8752192 m2
or
Unit Conversion of 3 yd = 9.0 ft
3 Yards is 9.0 foots
To convert Yards to Foot
we know that, 1 Yards = 3 Feet
To convert Yards to Foot, multiply the yard value by 3.
Result in Feet: 3 yd x 3 × ft/yd
Cancel The Comman factor of yd
Result in Feet: (3 x 3 ft)
Multiply 3 into 3
Result in Feet: 9.0 feets
∴ 3 Yards = 9.0 foots
Unit Conversion of 7 m = 22.96588 ft
7 Meters is 22.96588 foot
To convert Meters to Foot
we know that, 1 Meter = 3.28084 Foot
To convert Meter to Foot, multiply the meter value by 3.28084.
Result in Foot: 7 m × 3.28084 × ft/m
Cancel The Comman factor of m
Result in Foot: (7 x 3.28084 ft)
Multiply 7 into 3.28084
Result in Foot: 22.96588 foot
∴ 7 Meters = 22.96588 foot
A=($9.0 \cdot40+9.0$$\sqrt{(\frac{40}{2})^2+(22.96588)^2}$$+40$$\sqrt{(\frac{9.0}{2})^2+(22.96588)^2}$) ft
Simplify each term.
Multiply 9.0 ft by 40 ft
A = $360.0+9.0$$\sqrt{(\frac{40}{2})^2+(22.96588)^2}$$+40$$\sqrt{(\frac{9.0}{2})^2+(22.96588)^2}$
Square root of $\sqrt{(\frac{40}{2})^2+(7)^2}$ is 30.4537624
Put The values in Area Formula:
A= $360.0+ 9.0 \cdot 30.4537624+40$$\sqrt{(\frac{9.0}{2})^2+(22.96588)^2}$
Square Root of $\sqrt{(\frac{9.0}{2})^2+(22.96588)^2}$ is 23.4025991
Put The values in Area Formula:
A = 360.0 + (9.0 x 30.4537624) + (40 x 23.4025991)
Multiply 9.0 and 30.4537624
A = 360.0 + 274.0838616 +(40 x 23.4025991)
Multiply 40 and 23.4025991
A= 360.0 + 274.0838616 + 936.1039636
Add 360.0 and 274.0838616
A = 634.0838616 + 936.1039636
A= 1570.1878252 ft2
∴ The Surface Area of Pyramid length 3 yd , width 40 ft and height 7 m is 1570.1878252 ft2