Question
You notice these two old suitcases stacked in the closet. The smaller suitcase is 25 in x 8 in x 9in, and the larger suitcase is 75 in x 20 in x 18in. The big suitcase is 15 times larger than the small suitcase. You decide to use the larger suitcase to transport rectangular prism watermelons back home. Though their dimensions vary, the average rectangular watermelon has a volume of roughly 720 cubic inches. If one of these watermelons is about 10 inches long and 9 inches wide, about how tall would it be?
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Answer to a math question You notice these two old suitcases stacked in the closet. The smaller suitcase is 25 in x 8 in x 9in, and the larger suitcase is 75 in x 20 in x 18in. The big suitcase is 15 times larger than the small suitcase. You decide to use the larger suitcase to transport rectangular prism watermelons back home. Though their dimensions vary, the average rectangular watermelon has a volume of roughly 720 cubic inches. If one of these watermelons is about 10 inches long and 9 inches wide, about how tall would it be?
Corbin
4.6104 Answers
1. The formula for the volume of a rectangular prism is:
V = \text{length} \times \text{width} \times \text{height}
2. Given:
\text{Volume} = 720 \, \text{cubic inches}, \, \text{length} = 10 \, \text{inches}, \, \text{width} = 9 \, \text{inches}
3. Substitute the known values and solve for height:
720 = 10 \times 9 \times \text{height}
4. Simplify and solve:
\text{height} = \frac{720}{10 \times 9}
\text{height} = \frac{720}{90}
\text{height} = 8 \, \text{inches}
Answer: 8 inches
2. Given:
3. Substitute the known values and solve for height:
4. Simplify and solve:
Answer: 8 inches
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