Surface area of a Pyramid 3 yards by 40 foot by 7 meters Calculator

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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


Surface area of a Pyramid 3 yards by 40 foot by 7 meters

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

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

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

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

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

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

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

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