Question

Which of the following volumes are equal to one liter? Select all that apply.

Answer 1

Dimensional analysis can be defined as the method of conversion from one given unit to another. It is often required to deal with measures that are extremely small (e.g size of an atom) or extremely big, In such circumstances, a conversion between metric measuring units is typically essential.

We are to determine which volumes in the given option are equal to 1 Liter.

Following the International System of Units (SI);

a.

10° nl = 10 nanoliters

10 nanoliters = 1 × 10⁻⁸ Liters

∴

It is incorrect

b.

1 dm = 1 cubic decimeter

1 cubic decimeter is equivalent to 1 Liter.

∴

Option B is correct

c.

10 ml = 10 milliliters

10 milliliters = 0.01 Liter

∴

Option C is incorrect

d.

1000 cm = 1000 centimeters

1 cm = 0.001 Liter

∴

1000 cm =  1 × 0.001 Liters

1000 cm =  1 Liters

Option D is correct

e.

100 dL = 100 deciliters

1 deciliter = 0.1 Liters

∴

100 deciliters = 10 Liters

As such, this option is also incorrect.

Therefore, we can conclude that Only Option B and D are the volumes that are equal to one Liter.

Learn more about Unit conversion here:

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