A box was measured with a degree of accuracy to the nearest 2cm; 24cm * 24cm * 20cm. What is the smallest possible volume of the box to the nearest cm3?

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Mathematics

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4 July, 13:57

A box was measured with a degree of accuracy to the nearest 2cm; 24cm * 24cm * 20cm. What is the smallest possible volume of the box to the nearest cm3?

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Tyrell Arnold · Answer 1

Each measurement is accurate to 2cm so they can each be "off" by 2. Since we want the smallest possible volume let’s assume each is actually 2 less than what is given.

The sides would then measure: 22, 22 and 18cm respectively. We obtain the volume by multiplying length, width and height ... the three values given.

Thus the smallest volume is 22x22x18=8,712 cm^3