Answer:
Approximate height (to the nearest tenth) = 41.0 cm.
Explanation:
The formula for the volume of a rectangular prism is given by:
V = lwh, where
- V is the volume in units cubed,
- l is the length,
- w is the width,
- and h is the height.
Thus, we can find the approximate height of the box (let's round to the nearest tenth since both the length and width have values in the tenths place) by plugging in 400 for V, 6.5 for l, and 1.5 for w:
400 = (6.5)(1.5)h
(400 = 9.75h) / 9.75
41.02564103 = h
41.0 = h
Therefore, the height of the box is about 41 cm.
If you want to round to the nearest hundredth or another place, feel free to.