Question

problem 6b
what is the volume of this rectangular prism?
(the image shows a rectangular prism with height 5 cm, length 3 cm, and width 2 cm)

Explanation:

Step1: Recall volume formula

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

Step2: Identify dimensions

From the diagram, \( l = 3 \, \text{cm} \), \( w = 2 \, \text{cm} \), \( h = 5 \, \text{cm} \).

Step3: Calculate volume

Substitute values into the formula: \( V = 3 \times 2 \times 5 \).
First, \( 3 \times 2 = 6 \). Then, \( 6 \times 5 = 30 \).

Answer:

\( 30 \) cubic centimeters (or \( 30 \, \text{cm}^3 \))