Zoe is packaging a gift to send in the mail. A smaller gift box is placed inside a similar yet larger packaging box. The empty s

Question

2 years ago

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Zoe is packaging a gift to send in the mail. A smaller gift box is placed inside a similar yet larger packaging box. The empty s

pace inside the packaging box is filled with tissue paper to keep the gift box from moving. The dimensions of the larger box are each 2.1 times longer than the corresponding dimensions of the smaller box. The volume of the smaller box is 24 cubic centimeters. What is the volume of the space filled with tissue paper in the packaging box? 81.84 cubic centimeters 105.84 cubic centimeters 198.264 cubic centimeters 222.264 cubic centimeters

Mathematics

1 answer:

oksian1 [2.3K] · Answer 1 · 2023-10-08T05:30:17+03:00

The volume of the space filled with tissue paper in the packaging box is 198.264 cubic centimeters

<h3>Volume</h3>

Volume if small, Vs = 24 cubic inches

Constant = k

= 2.1³

= 9.261

Volume of large : volume of small = k

Vl / Vs = k

Vl = Vs × k

= 24 × 9.261

= 222.264 cubic inches

Therefore,

Volume of tissue paper = volume of large - volume of small

= 222.264 cubic inches - 24 cubic inches

= 198.261 cubic inches

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