Question

1. find the volume of a box measuring 2 cm by 7 cm by 3 cm.

Explanation:

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

The volume \( V \) of a rectangular box (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: Substitute the given values into the formula

Here, \( l = 2 \, \text{cm} \), \( w = 7 \, \text{cm} \), and \( h = 3 \, \text{cm} \). Substituting these values into the formula, we get:
\[
V = 2 \times 7 \times 3
\]

Step3: Perform the multiplication

First, multiply \( 2 \) and \( 7 \): \( 2 \times 7 = 14 \). Then, multiply the result by \( 3 \): \( 14 \times 3 = 42 \).

Answer:

The volume of the box is \( 42 \, \text{cubic centimeters} \) (or \( 42 \, \text{cm}^3 \)).