210k views
13 votes
Which is closest to the volume of the rectangular solid below?

6.98 feet
4.12 feet
3.78 feet

2 Answers

10 votes

Final answer:

Using the formula for the volume of a rectangular solid, the small box with given dimensions has a volume of approximately 11.4 cm³ when rounded to two significant figures.

Step-by-step explanation:

The volume of a rectangular solid is calculated using the formula volume of stack = length x width x height. Given the dimensions of a small rectangular box are 1.80 cm, 2.05 cm, and 3.1 cm, the volume is calculated as follows:

Volume = 1.80 cm × 2.05 cm × 3.1 cm = 11.403 cm³

If we consider the measurement uncertainty of ±0.05 cm for each dimension, the maximum possible volume would be calculated using the largest possible dimensions (1.85 cm × 2.10 cm × 3.15 cm) and the minimum volume with the smallest possible dimensions (1.75 cm × 2.00 cm × 3.05 cm). However, since the question only provided options without uncertainties, we will disregard the uncertainty for this part of the solution. Thus, rounding 11.403 cm³ to two significant figures according to the options given, the closest volume is approximately 11.4 cm³.

User Berco Beute
by
7.9k points
8 votes
Well I think it’s 6.98
User Gonchuki
by
8.2k points

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