Q:

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

Accepted Solution

A:
Each measurement is accurate to 2cm so they can each be β€œoff” 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