Question

how much material was used in the manufacture of 24,000 celluloid dice, if each die has an edge of 1/4 in.?

Answer 1

To find how much material was used in the manufacture of 24,000 dice, you can follow the steps below.

Step 1: Find the volume of one dice.

Since a dice is a cube, its volume (V) for edge (a) is:

`\begin{gathered} V=a^3 \\ \end{gathered}`

Knowing the measure of the edge (1/4 in), find the volume:

`\begin{gathered} V=((1)/(4))^3 \\ V=(1^3)/(4^3) \\ V=(1)/(64)in^3 \end{gathered}`

Step 2: Find the volume of 24,000 dice.

Since the volume of one dice is 1/64 in³,

The volume of 24,000 dice is:

`\begin{gathered} V=24,000\cdot(1)/(64) \\ V=(24,000)/(64) \\ V=375in^3 \end{gathered}`

Answer: It is needed 375 in³ of material to manufacture 24,000 dice.