Explanation
Step 1
1.how many table tennis balls are in the box?
to find the total number of balls in the box
[tex]\begin{gathered} Volume=side^3_{} \\ \text{Volume}=(6)^3 \\ \text{Volume}=216\text{ balls} \end{gathered}[/tex]so, the total is 216 balls
Step 2
write a multiplication expression to represent the volume of the box in cubic inches .
[tex]\begin{gathered} \text{Volume}=side^3 \\ \text{Volume}=(10inches)^3=(10\text{ inch}\cdot\text{ 10 inch }\cdot10\text{ inch)} \\ \text{Volume}=100\text{ cubic inches} \end{gathered}[/tex]Step 3
write the expression you wrote for the volume of the box using exponents.
[tex]\begin{gathered} \text{Volume}=side^3 \\ \text{Volume}=(10inches)^3 \end{gathered}[/tex]Step 4
Write a multiplication expression to represent the number of table tennis balls in one layer of the box.
so, to find the number of table tennis balls in one layer of the box. make a multiplication
[tex]\begin{gathered} B=6\cdot6\text{ balls} \\ B=36\text{ balls per layer} \end{gathered}[/tex]Step 5
Write a multiplication expression to represent the number of table tennis balls in all 6 layers of the box .
[tex]\begin{gathered} \text{Total number of balls} \\ T=B\cdot6 \\ T=36\cdot6 \\ \text{Total}=216\text{ balls} \end{gathered}[/tex]Step 6
Write an expression using exponents to represent the total number of table tennis balls in the box .
[tex]\text{total}=(6)^{3\text{ }}balls[/tex]
