Question

the solid below is made from cubes. find its volume. (there is a diagram of a rectangular prism made of small cubes with a 1 m label for the edge of a small cube.)

Explanation:

Step1: Determine cube edge length

Each small cube has an edge length of \( 1 \, \text{m} \), so volume of one small cube is \( 1 \times 1 \times 1 = 1 \, \text{m}^3 \).

Step2: Find dimensions of the solid

From the diagram, the solid has length \( 3 \) cubes, width \( 2 \) cubes, and height \( 4 \) cubes.

Step3: Calculate total number of cubes

Total number of small cubes \( = 3 \times 2 \times 4 = 24 \).

Step4: Find volume of the solid

Since each cube has volume \( 1 \, \text{m}^3 \), total volume \( = 24 \times 1 = 24 \, \text{m}^3 \).

Answer:

\( 24 \)