Question

what is the volume of this prism? 4 mm 10 mm 3 mm cubic millimeters

Explanation:

Step1: Recall the formula for the volume of a rectangular prism.

The volume \( V \) of a rectangular prism is given by the formula \( V = l \times w \times h \), where \( l \) is the length, \( w \) is the width, and \( h \) is the height.

Step2: Identify the length, width, and height from the diagram.

From the diagram, the length \( l = 10 \) mm, the width \( w = 3 \) mm, and the height \( h = 4 \) mm.

Step3: Substitute the values into the formula and calculate.

Substitute \( l = 10 \), \( w = 3 \), and \( h = 4 \) into the formula:
\[

$$\begin{align*} V&=10\times3\times4\\ &= 30\times4\\ &= 120 \end{align*}$$

\]

Answer:

120