Question

the solid below is made from cubes. find its volume. 1 yd yd³

Explanation:

Step1: Find the side length of the large cube

From the figure, the side length of the large cube \(n = 4\times1=4\) yd (since each small cube has a side - length of \(1\) yd and there are \(4\) small cubes along one edge).

Step2: Use the volume formula for a cube

The volume formula for a cube is \(V = n^{3}\), where \(n\) is the side - length of the cube. Substitute \(n = 4\) into the formula: \(V=4^{3}\).
Calculate \(4^{3}=4\times4\times4\).
First, \(4\times4 = 16\), then \(16\times4=64\).

Answer:

\(64\)