Sam is going apple picking with his family this afternoon. He is bringing a box that has a measurement of 4 3/5 inches long,6 1/6 inches wide,and 5 1/2 inches tall for collecting the apples
What is your question?
What is the volume of the box
That's great! Sam is bringing a box that measures 4 3/5 inches long, 6 1/6 inches wide, and 5 1/2 inches tall for collecting the apples.
To summarize:
- The length of the box is 4 3/5 inches.
- The width of the box is 6 1/6 inches.
- The height of the box is 5 1/2 inches.
To find the volume of the box that Sam is bringing for collecting apples, we can use the formula for volume:
Volume = Length × Width × Height
1. First, convert the mixed numbers into improper fractions.
- 4 3/5 inches = (4 × 5 + 3) / 5 = 23/5 inches
- 6 1/6 inches = (6 × 6 + 1) / 6 = 37/6 inches
- 5 1/2 inches = (5 × 2 + 1) / 2 = 11/2 inches
2. Multiply the length, width, and height to find the volume.
Volume = (23/5) × (37/6) × (11/2)
3. To simplify the multiplication, cancel out common factors between the numbers in the numerator of one fraction and the denominator of another.
Volume = (23 × 37 × 11) / (5 × 6 × 2)
4. Calculate the numerator and denominator separately.
Numerator = 23 × 37 × 11 = 9443
Denominator = 5 × 6 × 2 = 60
5. Divide the numerator by the denominator to get the final answer for the volume.
Volume = 9443 / 60
Since volume is usually measured in cubic inches, the answer will also be in cubic inches.
Therefore, the volume of the box Sam is bringing for collecting apples is approximately 157.3833 cubic inches.