Question

the solid below is made from cubes. find its volume. (image of a rectangular prism made of small cubes, with 1 cm indicated for the edge length of a small cube. a text box with 48 cm³ and two buttons, one with a refresh symbol and one with an x.)

Explanation:

Step1: Calculate the volume of one cube

The volume of a cube with side length \(a = 1\mathrm{cm}\) is \(V_{cube}=a^{3}\).
Substituting \(a = 1\mathrm{cm}\), we get \(V_{cube}=1^{3}=1\mathrm{cm}^{3}\).

Step2: Count the number of cubes

Count the number of cubes in the solid. There are \(48\) cubes.

Step3: Calculate the volume of the solid

The volume of the solid \(V\) is the number of cubes \(n\) times the volume of one cube \(V_{cube}\).
Since \(n = 48\) and \(V_{cube}=1\mathrm{cm}^{3}\), then \(V=n\times V_{cube}=48\times1 = 48\mathrm{cm}^{3}\).

Answer:

\(48\mathrm{cm}^{3}\)