Question

If there are 10 decimeters in a meter, explain why there are not 10 cubic decimeters in a cubic meter.

Choose the correct answer below.
OA. There are not 10 cubic decimeters in a cubic meter because a cubic meter is a meter squared. This means
that there are 10² cubic decimeters in a cubic meter.
OB. There are not 10 cubic decimeters in a cubic meter because a cubic meter is a meter cubed. This means
that there are 10 cubic decimeters in a cubic meter.
OC. There are not 10 cubic decimeters in a cubic meter because a cubic meter is a meter squared. This means
1
that there are cubic decimeters in a cubic meter.
10²
OD. There are not 10 cubic decimeters in a cubic meter because a cubic meter is a meter cubed. This means
that there are
1
cubic decimeters in a cubic meter.
10

Answer 1

B. There are not 10 cubic decimeters in a cubic meter because a cubic meter is a meter cubed. This means that there are 10³ cubic decimeters in a cubic meter.

Explanation:

When we cube a number, we multiply the number by itself twice.

Therefore a cubic meter is:

• m × m × m = m³

To calculate the number of cubic decimeters in a cubic meter, we need to cube the number of decimeters in a meter.

Given there are 10 decimeters in a meter, then there are 10³ cubic decimeters in a cubic meter:

• 10 × 10 × 10 = 10³