Convert gram / square meter to gram / square foot

Learn how to convert 1 gram / square meter to gram / square foot step by step.

Calculation Breakdown

Set up the equation

1.0 (\frac{g r a m}{s q u a r e m e t e r}) = x (\frac{g r a m}{s q u a r e f o o t})

Define the base values of the selected units in relation to the SI unit

(p a s c a l)

Left side: 1.0 (\frac{g r a m}{s q u a r e m e t e r}) = 9.80665 \times 10^{- 3} (p a s c a l) = 9.80665 \times 10^{- 3} (P a)

Right side: 1.0 (\frac{g r a m}{s q u a r e f o o t}) = \frac{9.80665 \times 10^{- 1}}{9.290304} (p a s c a l) = \frac{9.80665 \times 10^{- 1}}{9.290304} (P a)

Insert known values into the conversion equation to determine

x

1.0 (\frac{g r a m}{s q u a r e m e t e r}) = x (\frac{g r a m}{s q u a r e f o o t})

Insert known values =>

1.0 \times 9.80665 \times 10^{- 3} \times (p a s c a l) = x \times \frac{9.80665 \times 10^{- 1}}{9.290304} \times (p a s c a l)

Or

1.0 \cdot 9.80665 \times 10^{- 3} \cdot (P a) = x \cdot \frac{9.80665 \times 10^{- 1}}{9.290304} \cdot (P a)

Cancel SI units

1.0 \times 9.80665 \times 10^{- 3} \cdot (P a) = x \times \frac{9.80665 \times 10^{- 1}}{9.290304} \times (P a)

Conversion Equation

9.80665 \times 10^{- 3} = x \times \frac{9.80665 \times 10^{- 1}}{9.290304}

Cancel factors on both sides

Cancel factors

9.80665 \times {10^{- 3}}^{10^{- 2}} = x \times \frac{9.80665 \times 10^{- 1}}{9.290304}

Simplify

10^{- 2} = x \times \frac{1.0}{9.290304}

Switch sides

x \times \frac{1.0}{9.290304} = 10^{- 2}

Isolate

x

Multiply both sides by

(\frac{9.290304}{1.0})

x \times \frac{1.0}{9.290304} \times \frac{9.290304}{1.0} = 10^{- 2} \times \frac{9.290304}{1.0}

Cancel

x \times \frac{1.0 \times 9.290304}{9.290304 \times 1.0} = 10^{- 2} \times \frac{9.290304}{1.0}

Simplify

x = 10^{- 2} \times 9.290304

Solve

x

x = 0.09290304 \approx 9.2903 \times 10^{- 2}

Conversion Equation

1.0 (\frac{g r a m}{s q u a r e m e t e r}) \approx 9.2903 \times 10^{- 2} (\frac{g r a m}{s q u a r e f o o t})

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