Convert ounce / square inch to ounce / square yard

Learn how to convert 1 ounce / square inch to ounce / square yard step by step.

Calculation Breakdown

Set up the equation

1.0 (\frac{o u n c e}{s q u a r e i n c h}) = x (\frac{o u n c e}{s q u a r e y a r d})

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{o u n c e}{s q u a r e i n c h}) = \frac{2.78013850953781}{6.4516 \times 10^{- 3}} (p a s c a l) = \frac{2.78013850953781}{6.4516 \times 10^{- 3}} (P a)

Right side: 1.0 (\frac{o u n c e}{s q u a r e y a r d}) = \frac{2.78013850953781}{8.3612736} (p a s c a l) = \frac{2.78013850953781}{8.3612736} (P a)

Insert known values into the conversion equation to determine

x

1.0 (\frac{o u n c e}{s q u a r e i n c h}) = x (\frac{o u n c e}{s q u a r e y a r d})

Insert known values =>

1.0 \times \frac{2.78013850953781}{6.4516 \times 10^{- 3}} \times (p a s c a l) = x \times \frac{2.78013850953781}{8.3612736} \times (p a s c a l)

Or

1.0 \cdot \frac{2.78013850953781}{6.4516 \times 10^{- 3}} \cdot (P a) = x \cdot \frac{2.78013850953781}{8.3612736} \cdot (P a)

Cancel SI units

1.0 \times \frac{2.78013850953781}{6.4516 \times 10^{- 3}} \cdot (P a) = x \times \frac{2.78013850953781}{8.3612736} \times (P a)

Conversion Equation

\frac{2.78013850953781}{6.4516 \times 10^{- 3}} = x \times \frac{2.78013850953781}{8.3612736}

Cancel factors on both sides

Cancel factors

\frac{2.78013850953781}{6.4516 \times 10^{- 3}} = x \times \frac{2.78013850953781}{8.3612736}

Switch sides

x \times \frac{1.0}{8.3612736} = \frac{1.0}{6.4516 \times 10^{- 3}}

Isolate

x

Multiply both sides by

(\frac{8.3612736}{1.0})

x \times \frac{1.0}{8.3612736} \times \frac{8.3612736}{1.0} = \frac{1.0}{6.4516 \times 10^{- 3}} \times \frac{8.3612736}{1.0}

Cancel

x \times \frac{1.0 \times 8.3612736}{8.3612736 \times 1.0} = \frac{1.0 \times 8.3612736}{6.4516 \times 10^{- 3} \times 1.0}

Simplify

x = \frac{8.3612736}{6.4516 \times 10^{- 3}}

Rewrite equation

\frac{1.0}{10^{- 3}} can be rewritten to 10^{3}

Rewrite

x = \frac{10^{3} \times 8.3612736}{6.4516}

Solve

x

x = 1296 = 1.296 \times 10^{3}

Conversion Equation

1.0 (\frac{o u n c e}{s q u a r e i n c h}) = 1.296 \times 10^{3} (\frac{o u n c e}{s q u a r e y a r d})

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