A packing box is 3.5 feet by 1.4 feet by 1.8 feet. A box that is 3.1 feet by 1.1 feet by 1.4 feet is placed inside the first box. The rest of the box is filled with packing foam. How many cubic feet does the packing foam take up?

BenoguigoliB

BenoguigoliB

Answered question

2020-11-05

A packing box is 3.5 feet by 1.4 feet by 1.8 feet. A box that is 3.1 feet by 1.1 feet by 1.4 feet is placed inside the first box. The rest of the box is filled with packing foam. How many cubic feet does the packing foam take up?

Answer & Explanation

Liyana Mansell

Liyana Mansell

Skilled2020-11-06Added 97 answers

The volume of the packing box is the sum of the volume of the box inside it and the volume of the foam. Each box is rectangular prism in shape so their volume is given by V=lwhV=lwh (the product of their dimensions). If VV is the volume took up by the packing foam, we can write:
(3.5)(1.4)(1.8)=(3.1)(1.1)(1.4)+V
8.82=4.774+V
8.82−4.774=V
4.046=V
So, then volume of the packing foam took up is:
4.046 cubic feet
Jeffrey Jordon

Jeffrey Jordon

Expert2021-08-12Added 2605 answers

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