A few students conducted a study of some solids and found that jawbreakers take up approximately 1.6 cubic inches each. Using the data collected, approximately how many jawbreakers will fit in the candy jar shown if the dimensions are 5 inches by 5 inches by 4 inches?

To determine how many jawbreakers will fit into the candy jar, we need to compare the volume of the candy jar with the volume of a single jawbreaker.

### Step 1: Calculate the volume of the candy jar.
The candy jar is shaped as a rectangular prism, and the formula for the volume of a rectangular prism is:

\[
\text{Volume of the jar} = \text{Length} \times \text{Width} \times \text{Height}
\]

Given the dimensions of the jar as 5 inches by 5 inches by 4 inches:

\[
\text{Volume of the jar} = 5 \times 5 \times 4 = 100 \, \text{cubic inches}
\]

### Step 2: Determine how many jawbreakers will fit.
Each jawbreaker takes up approximately 1.6 cubic inches of space. To find how many jawbreakers will fit, we divide the volume of the jar by the volume of a single jawbreaker:

\[
\text{Number of jawbreakers} = \frac{\text{Volume of the jar}}{\text{Volume of one jawbreaker}} = \frac{100}{1.6} \approx 62.5
\]

Since we can't have a fraction of a jawbreaker, we round down to the nearest whole number. Therefore, approximately **62 jawbreakers** will fit in the jar.

Would you like further details or have any questions?

### 5 Related Questions:
1. What is the formula for the volume of a sphere, and how would it apply to a spherical jar?
2. How would packing efficiency affect the number of jawbreakers fitting into the jar?
3. How does the shape of a jar influence the number of items that fit inside it?
4. What is the difference between volume and surface area when discussing solids?
5. How would the number of jawbreakers change if the jar had different dimensions?

### Tip:
Always remember that packing efficiency (how objects fit together) can affect the real number of objects that fit into a space!

Learn how to calculate the number of jawbreakers that fit in a candy jar with dimensions 5 inches by 5 inches by 4 inches. This problem involves volume calculations and division, estimating that approximately 62 jawbreakers fit in the jar. Suitable for students in Grades 6-8.

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