Question

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

Explanation:

Step1: Determine the dimensions of the rectangular prism

Looking at the figure, we can see that along the length, there are 5 cubes, along the width, there are 2 cubes, and along the height, there are 3 cubes. Since each cube has a side length of 1 cm, the length \( l = 5\space\text{cm} \), 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 \( V=l\times w\times h \). Substituting the values we found: \( V = 5\times2\times3 \).

Step3: Calculate the volume

First, multiply 5 and 2: \( 5\times2 = 10 \). Then multiply the result by 3: \( 10\times3 = 30 \).

Answer:

\( 30\space\text{cm}^3 \)