Question

what is the volume of the cube? (round to the tenths place) 9.6 cm³ 32.8 cm³ 3.2 cm³ 32.7 cm³

Explanation:

Step1: Calculate the volume of the cube

The formula for the volume \(V\) of a cube is \(V = s\times s\times s=s^{3}\), where \(s\) is the side - length of the cube. Given \(s = 3.2\mathrm{cm}\), then \(V=(3.2)^{3}\).

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Step2: Round the result to the tenths place

To round \(32.768\) to the tenths place, we look at the digit in the hundredths place. The digit in the tenths place is \(7\) and the digit in the hundredths place is \(6\). Since \(6\gt5\), we round up the digit in the tenths place. So \(32.768\approx32.8\)

Answer:

\(32.8\mathrm{cm}^{3}\)