Question

A board game comes with a set of 8 cubical dice, each with side lengths of 2 centimeters. What is the total combined volume of the set of dice in cubic centimeters?

Answer 1

The total combined volume of the set of 8 cubical dice, each with side lengths of 2 centimeters, is 64 cubic centimeters.

Step-by-step explanation:

To find the total combined volume of the set of 8 cubical dice, we first calculate the volume of one die and then multiply it by the number of dice. Since a cube's volume is given by the formula V = s³, where s is the length of a side, we find that the volume of one die is:

V = 2 cm × 2 cm × 2 cm = 8 cm³.

Then, to find the total combined volume of the 8 dice:

Total volume = 8 cm³ × 8 dice = 64 cm³.

Therefore, the total combined volume of the set of dice is 64 cubic centimeters.

Answer 2

`8( {2}^(3) ) = 8(8) = 64`

The total combined volume of the 8 cubical dice is 64 cm³.