Question

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

Explanation:

Step1: Determine the dimensions of the rectangular prism

From the diagram, we can see that the length of the prism (number of cubes along the length) is 3, the width (number of cubes along the width) is 2, and the height (number of cubes along the height) is 2. Since each cube has a side length of 1 inch, the dimensions of the prism are length \( l = 3 \) in, width \( w = 2 \) in, and height \( h = 2 \) in.

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 of \( l = 3 \), \( w = 2 \), and \( h = 2 \) into the formula, we get:
\( V = 3\times2\times2 \)

Step3: Calculate the volume

First, multiply 3 and 2: \( 3\times2 = 6 \). Then multiply the result by 2: \( 6\times2=12 \). So the volume of the solid is 12 cubic inches.

Answer:

\( 12 \)