Considering the volume of a rectangular prism, since the new volume is greater than the filled volume, the new dimensions would work, and 90.29% of the infuser would be filled.
<h3>What is the volume of a rectangular prism?</h3>
The volume of a rectangular prism of length l, width w and height h is given by:
V = lwh.
The original dimensions are:
h = 7.9 cm, l = 3 cm, w = 1.5.
Hence the volume in cm³ was:
V = 7.9 x 3 x 1.5 = 35.55 cm³.
The infuser was filled to 80% capacity, hence:
Vf = 0.8 x 35.55 = 28.44 cm³.
For the new dimensions, we have that h = 7 cm, hence the volume is:
Vn = 7 x 3 x 1.5 = 31.5 cm³.
28.44/31.5 x 100% = 90.29%.
Since the new volume is greater than the filled volume, the new dimensions would work, and 90.29% of the infuser would be filled.
More can be learned about the volume of a rectangular prism at brainly.com/question/17223528
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