Question

1. what is the volume of the bottom prism in cm³?

Explanation:

Step1: Recall the volume formula for 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 values of \( l \), \( w \), and \( h \)

From the diagram, the length \( l = 6 \, \text{cm} \), the width \( w = 4 \, \text{cm} \), and the height \( h = 5 \, \text{cm} \).

Step3: Substitute the values into the formula

Substitute \( l = 6 \), \( w = 4 \), and \( h = 5 \) into the formula \( V = l \times w \times h \). So we have \( V = 6 \times 4 \times 5 \).

Step4: Calculate the product

First, calculate \( 6 \times 4 = 24 \), then multiply the result by 5: \( 24 \times 5 = 120 \).

Answer:

The volume of the bottom prism is \( 120 \, \text{cm}^3 \).