Question

the solid below is made from cubes. find its volume. 1 cm \square cm^3

Explanation:

Step1: Determine the dimensions of the cube - made solid

Looking at the figure, we can see that along the length, there are 3 small cubes, along the width, there are 2 small cubes, and along the height, there are 3 small cubes. Since each small cube has a side length of \(1\space\text{cm}\), the dimensions of the rectangular prism (the solid) are length \(l = 3\space\text{cm}\), width \(w=2\space\text{cm}\), and height \(h = 3\space\text{cm}\).

Step2: Use the formula for the volume of a rectangular prism

The formula for the volume \(V\) of a rectangular prism is \(V=l\times w\times h\).

Substitute \(l = 3\), \(w = 2\), and \(h=3\) into the formula:

\(V=3\times2\times3\)

First, calculate \(3\times2 = 6\), then calculate \(6\times3=18\).

Answer:

\(18\)