Question

what is the volume of the block?
diagram of a rectangular prism with length 12, width 4, height 3
answer = 144 cm^3 (centimeters cubed)

Explanation:

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

The volume \( V \) of a rectangular prism (which the block appears to be) 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 \( l = 12 \) cm, the width \( w = 4 \) cm, and the height \( h = 3 \) cm.

Step3: Substitute the values into the formula

Substitute \( l = 12 \), \( w = 4 \), and \( h = 3 \) into the formula:
\( V = 12 \times 4 \times 3 \)

Step4: Calculate the product

First, calculate \( 12 \times 4 = 48 \). Then, calculate \( 48 \times 3 = 144 \).

Answer:

The volume of the block is \( 144 \) cubic centimeters (or \( 144 \, \text{cm}^3 \)).