Question

​Betty is going away to college. She wants to rent the most inexpensive van possible, but has a very large bed. The width of the bed is 9ft. The width of the back of the van is 6 feet and the height of the van is 8 feet. Will Betty be able to fit her bed into the back of the van? ​

Answer 1

Betty can fit her 9ft wide bed into the van by orienting it diagonally, as the diagonal measurement of the van's width and height is approximately 10ft, which is larger than the width of the bed.

Step-by-step explanation:

The student's question is whether Betty can fit her 9ft wide bed into the back of a van that is 6ft wide and 8ft high. This can be visualized as a geometry problem, where the object (bed) must fit within the dimensions of the space (van). To determine if the bed can fit, we can calculate or infer from the given measurements using spatial reasoning.

Although the width of the bed is greater than the width of the van, it is possible to place the bed in the van if it can be angled or oriented in such a way that it fits diagonally across the van's width and height. However, by calculating the diagonal space using the Pythagorean theorem (6ft by 8ft), we find that the diagonal dimension is √(6² + 8²) = √(36 + 64) = √100 = 10ft. Since the diagonal dimension is greater than the width of the bed, it is possible for the bed to fit in the van if oriented correctly.

For some context using the SEO keywords:

1. 10ft equals 120 inches, significantly more than the 8.75 feet (8.75ft x 12 inches/ft = 105 inches).
2. The comparison between milliliters and liters shows that 29.5 liters equals 29,500 milliliters, as there are 1,000 milliliters in a liter.