Surface area of a Pyramid 5 yards by 40 foot by 7 meters Calculator
The Surface Area of Pyramid 5 yards by width 40 foot by height 7 meters is 220.5764097 yards2 or 187.9601827 meters2 or 2023.1866048 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 5 yards by width 40 foot by height 7 meters is 220.5764097 yards2 or 187.9601827 meters2 or 2023.1866048 foot2
Surface Area of a Pyramid 5 yd by 40 ft by 7 m in other units
| Value | unit |
|---|---|
| 0.2016951 | km2 |
| 0.1253278 | mi2 |
| 201.695069 | m2 |
| 661.7292291 | ft2 |
| 7940.7507492 | in2 |
| 220.5764097 | yd2 |
| 20169.506903 | cm2 |
| 201695.0690297 | mm2 |
Steps:
The Surface area of Pyramid A = $lw+l$$\sqrt{(\frac{w}{2})^2+(h)^2}$$+w$$\sqrt{(\frac{l}{2})^2+(h)^2}$
Substitute the values of the length l = 5 yd, the width w = 40 ft and the height h = 7 m into the formula for surface area of a pyramid
Unit Conversion of 7 m = 7.6552973 yd
7 Meter is 7.6552973 yards
To convert Meter to Yards
we know that, 1 Meter = 1.0936139 Yards
To convert Meter to Yards, multiply the mile value by 1.0936139
Result in Yards: 7 m × 1.0936139 × yd/m
Cancel The Comman factor of m
Result in Yards: (7 x 1.0936139 yd)
Multiply 7 into 1.0936139
Result in Yards: 7.6552973 yards
∴ 7 Meter = 7.6552973 yards
Unit Conversion of 40 ft = 13.3333333 yd
40 Feet is 13.3333333 yards
To convert Feet to Yards
we know that, 1 Foot = 0.333333 or
1 Foot = 1/3 Yards
To convert Feet to Yards, divide the feet value by 3
Result in Yards: 40 × ft/yd × ft/yd
Cancel The Comman factor of ft
Result in Yards: 40/3 yd
Divide the 40 by 3
Result in Yards: 13.3333333 yards
∴ 40 Feet = 13.3333333 yards
A=($5 \cdot13.3333333+5$$\sqrt{(\frac{13.3333333}{2})^2+(7.6552973)^2}$$+13.3333333$$\sqrt{(\frac{5}{2})^2+(7.6552973)^2}$) yd
Simplify each term.
Multiply 5 yd by 13.3333333 yd
A = $66.6666665+5$$\sqrt{(\frac{13.3333333}{2})^2+(7.6552973)^2}$$+13.3333333$$\sqrt{(\frac{5}{2})^2+(7.6552973)^2}$
Square root of $\sqrt{(\frac{13.3333333}{2})^2+(7.6552973)^2}$ is 10.1512571
Put The values in Area Formula:
A= $66.6666665+ 5 \cdot 10.1512571+13.3333333$$\sqrt{(\frac{5}{2})^2+(7.6552973)^2}$
Square Root of $\sqrt{(\frac{5}{2})^2+(7.6552973)^2}$ is 7.7365093
Put The values in Area Formula:
A= 66.6666665 + (5 x 10.1512571) + (13.3333333 x 7.7365093)
Multiply 5 and 10.1512571
A= 66.6666665 + 50.7562856 + (13.3333333 x 7.7365093)
Multiply 13.3333333 and 7.7365093
A= 66.6666665 + 50.7562856 + 103.1534576
Add 66.6666665 and 50.7562856
A= 117.4229521 + 103.1534576
A= 220.5764097 yd2
∴ The Surface Area of Pyramid length 5 yd , width 40 ft and height 7 m is 220.5764097 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 5 yd = 4.572 m
5 Yard is 4.572 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: 5 yd × 0.9144 × m/yd
Cancel The Comman factor of yd
Result in Meters: (5 x 0.9144 m)
Multiply 5 into 0.9144
Result in Meters: 4.572 meters
∴ 5 Yard = 4.572 meters
A=($4.572 \cdot12.192+4.572$$\sqrt{(\frac{12.192}{2})^2+(7)^2}$$+12.192$$\sqrt{(\frac{4.572}{2})^2+(7)^2}$) m
Simplify each term.
Multiply 4.572 m by 12.192 m
A = $55.741824+4.572$$\sqrt{(\frac{12.192}{2})^2+(7)^2}$$+12.192$$\sqrt{(\frac{4.572}{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= $55.741824+ 4.572 \cdot 9.2823066+12.192$$\sqrt{(\frac{4.572}{2})^2+(7)^2}$
Square Root of $\sqrt{(\frac{4.572}{2})^2+(7)^2}$ is 7.3638167
Put The values in Area Formula:
A= 55.741824 + (4.572 x 9.2823066) + (12.192 x 7.3638167)
Multiply 4.572 and 9.2823066
A= 55.741824 + 42.4387058 + (12.192 x 7.3638167)
Multiply 12.192 and 7.3638167
A= 55.741824 + 42.4387058 + 89.7796529
Add 55.741824 and 42.4387058
A= 98.1805298 + 89.7796529
A=$187.9601827$ m2
∴ The Surface Area of Pyramid length 5 yd , width 40 ft and height 7 m is 187.9601827 m2
or
Unit Conversion of 5 yd = 15.0 ft
5 Yards is 15.0 foots
To convert Yards to Foot
we know that, 1 Yards = 3 Feet
To convert Yards to Foot, multiply the yard value by 3.
Result in Feet: 5 yd x 3 × ft/yd
Cancel The Comman factor of yd
Result in Feet: (5 x 3 ft)
Multiply 5 into 3
Result in Feet: 15.0 feets
∴ 5 Yards = 15.0 foots
Unit Conversion of 7 m = 22.96588 ft
7 Meters is 22.96588 foot
To convert Meters to Foot
we know that, 1 Meter = 3.28084 Foot
To convert Meter to Foot, multiply the meter value by 3.28084.
Result in Foot: 7 m × 3.28084 × ft/m
Cancel The Comman factor of m
Result in Foot: (7 x 3.28084 ft)
Multiply 7 into 3.28084
Result in Foot: 22.96588 foot
∴ 7 Meters = 22.96588 foot
A=($15.0 \cdot40+15.0$$\sqrt{(\frac{40}{2})^2+(22.96588)^2}$$+40$$\sqrt{(\frac{15.0}{2})^2+(22.96588)^2}$) ft
Simplify each term.
Multiply 15.0 ft by 40 ft
A = $600.0+15.0$$\sqrt{(\frac{40}{2})^2+(22.96588)^2}$$+40$$\sqrt{(\frac{15.0}{2})^2+(22.96588)^2}$
Square root of $\sqrt{(\frac{40}{2})^2+(7)^2}$ is 30.4537624
Put The values in Area Formula:
A= $600.0+ 15.0 \cdot 30.4537624+40$$\sqrt{(\frac{15.0}{2})^2+(22.96588)^2}$
Square Root of $\sqrt{(\frac{15.0}{2})^2+(22.96588)^2}$ is 24.1595042
Put The values in Area Formula:
A = 600.0 + (15.0 x 30.4537624) + (40 x 24.1595042)
Multiply 15.0 and 30.4537624
A = 600.0 + 456.806436 +(40 x 24.1595042)
Multiply 40 and 24.1595042
A= 600.0 + 456.806436 + 966.3801688
Add 600.0 and 456.806436
A = 1056.806436 + 966.3801688
A= 2023.1866048 ft2
∴ The Surface Area of Pyramid length 5 yd , width 40 ft and height 7 m is 2023.1866048 ft2