The speaker is not complying with concord. Her reference is ,realised by them, ambiguous. Them lacks any reference if we move backwards in the excerpt. We may assume them refers to what she had to say,but it shoudl have been used , instead. However, them may refer to thoughts that comes later in the excerpt:"She expressed them imperfectly her thoughts were imperfect.", in these sentences ,which are not coherently linked , we infer that them is referring to thoughts.

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Amelie's bird cage is shaped like a rectangular prism. The cage has a height of 26 inches and a volume of 7,280 cubic inches. Am

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The area of the news paper which fits in the bottom of the Amile's cage is 280 square inches

Explanation:

The area is said to be the product of the two sides ( length an breadth ) of the rectangle.
The volume is said to be the product of the length, breadth and height of the cage.
Here the height and volume are given in the square inches.
volume = L* B *H = 7280 Square inches whereas height is 26 inches.
AREA = L* B = by bringing the height in divide with volume we can obtain the L* B value which is said to be the value of the height .