Two rectangular boxes are similar.One box is larger by a scale factor of 2.The smaller box has dimensions 1 metre, 2 metres and 3 metres.Question promptWhat is the volume of the larger box?Question response areaSelect one option6 m312 m324 m348 m3
Question
Two rectangular boxes are similar.One box is larger by a scale factor of 2.The smaller box has dimensions 1 metre, 2 metres and 3 metres.Question promptWhat is the volume of the larger box?Question response areaSelect one option6 m312 m324 m348 m3
Solution
The volume of a rectangular box is calculated by multiplying its length, width, and height. For the smaller box, the volume is 1m * 2m * 3m = 6m^3.
Since the larger box is larger by a scale factor of 2, each of its dimensions is twice that of the smaller box. Therefore, its volume is 2m * 4m * 6m = 48m^3. So, the correct answer is 48 m^3.
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