A wind chime in the shape of a cylinder measures 16 inches long. Will the wind chime fit inside the box? Match the statement to the phrase that correctly completes it. A phrase can be used more than once or not used.
The diagonal of the base of the box is _____ the wind chime.
The length of the interior diagonal of the box is _____ the wind chime.
The wind chime _____ fit in the box.
shorter than
longer than
equal to
will
will not
To determine whether the wind chime will fit inside the box, we need to assess the size of the box in relation to the wind chime’s dimensions.
1. The diagonal of the base of the box is shorter than the wind chime.
2. The length of the interior diagonal of the box is longer than the wind chime.
3. The wind chime will fit in the box.
### Explanation:
– The wind chime measures 16 inches long. If the diagonal of the box’s base is shorter than 16 inches, it will guide us on whether the chime can rest (or be positioned) flat within the box.
– If the internal diagonal of the box can measure longer than 16 inches, it can accommodate the length of the wind chime when positioned diagonally, which indicates it fits.
– Overall, we conclude the wind chime will indeed fit based on the dimensions provided.
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