Convert quad to BTU

Learn how to convert 1 quad to BTU step by step.

Calculation Breakdown

Set up the equation

1.0 (q u a d) = x (B T U)

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

(j o u l e)

Left side: 1.0 (q u a d) = 1.05435026444 \times 10^{18} (j o u l e) = 1.05435026444 \times 10^{18} (J)

Right side: 1.0 (B T U) = 1054.804 (j o u l e) = 1054.804 (J)

Insert known values into the conversion equation to determine

x

1.0 (q u a d) = x (B T U)

Insert known values =>

1.0 \times 1.05435026444 \times 10^{18} \times (j o u l e) = x \times 1054.804 \times (j o u l e)

Or

1.0 \cdot 1.05435026444 \times 10^{18} \cdot (J) = x \cdot 1054.804 \cdot (J)

Cancel SI units

1.0 \times 1.05435026444 \times 10^{18} \cdot (J) = x \times 1054.804 \times (J)

Conversion Equation

1.05435026444 \times 10^{18} = x \times 1054.804

Switch sides

x \times 1054.804 = 1.05435026444 \times 10^{18}

Isolate

x

Multiply both sides by

(\frac{1.0}{1054.804})

x \times 1054.804 \times \frac{1.0}{1054.804} = 1.05435026444 \times 10^{18} \times \frac{1.0}{1054.804}

Cancel

x \times 1054.804 \times \frac{1.0}{1054.804} = 1.05435026444 \times 10^{18} \times \frac{1.0}{1054.804}

Simplify

x = \frac{1.05435026444 \times 10^{18}}{1054.804}

Solve

x

x \approx 9.9956983898 \times 10^{14} \approx 9.9957 \times 10^{14}

Conversion Equation

1.0 (q u a d) \approx 9.9957 \times 10^{14} (B T U)

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