Question

a building block in the shape of a cube was found in a toy box. it has side lengths of 1.6 inches. what is the volume of the building block, in cubic inches? provide an answer accurate to the nearest tenth.

Explanation:

Step1: Recall the volume formula for a cube

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

Step2: Substitute the given side - length into the formula

Given \(s = 1.6\) inches. Then \(V=(1.6)^{3}=1.6\times1.6\times1.6\).
First, \(1.6\times1.6 = 2.56\). Then \(2.56\times1.6=(2 + 0.5+0.06)\times1.6=2\times1.6+0.5\times1.6 + 0.06\times1.6=3.2+0.8 + 0.096 = 4.096\).

Step3: Round the result to the nearest tenth

To round \(4.096\) to the nearest tenth, look at the hundredth digit. The hundredth digit is \(9\). Since \(9\gt5\), we round up the tenth digit. So \(4.096\approx4.1\).

Answer:

\(4.1\)