MATH SOLVE

4 months ago

Q:
# 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?

Accepted Solution

A:

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

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