Question
What is the total volume of a pair of dice with side length 12 millimeters?
What is the total volume of a pair of dice with side length 12 millimeters?
What is the total volume of a pair of dice with side length 12 millimeters?
Answers
Answered by
GPT-4o
To find the total volume of a pair of dice, we first need to calculate the volume of a single die and then double that volume, as there are two dice in a pair.
A die is a cube, and the formula for the volume of a cube is:
\[ \text{Volume} = \text{side length}^3 \]
Given the side length is 12 millimeters:
\[ \text{Volume of one die} = 12^3 \]
Calculate \(12^3\):
\[ 12 \times 12 \times 12 = 144 \times 12 = 1728 \; \text{cubic millimeters} \]
Since we have two dice:
\[ \text{Total volume} = 2 \times 1728 = 3456 \; \text{cubic millimeters} \]
So, the total volume of a pair of dice with side length 12 millimeters is 3456 cubic millimeters.
A die is a cube, and the formula for the volume of a cube is:
\[ \text{Volume} = \text{side length}^3 \]
Given the side length is 12 millimeters:
\[ \text{Volume of one die} = 12^3 \]
Calculate \(12^3\):
\[ 12 \times 12 \times 12 = 144 \times 12 = 1728 \; \text{cubic millimeters} \]
Since we have two dice:
\[ \text{Total volume} = 2 \times 1728 = 3456 \; \text{cubic millimeters} \]
So, the total volume of a pair of dice with side length 12 millimeters is 3456 cubic millimeters.
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