Question

3 what is the volume of a box that has length of 24 cm, a width of 11 cm, and a height of 15 cm? show your work.
solution
4 nate’s mother drives 225 miles for work each month. how many miles does she drive for work in 1 year? (there are 12 months in one year.) show your work.

Explanation:

Problem 3: Volume of the Box

Step1: Recall the volume formula for a rectangular box

The volume \( V \) of a rectangular box 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

Given \( l = 24 \, \text{cm} \), \( w = 11 \, \text{cm} \), and \( h = 15 \, \text{cm} \). Substitute these values into the formula:
\( V = 24 \times 11 \times 15 \)
First, calculate \( 24 \times 11 \):
\( 24 \times 11 = 264 \)
Then, multiply the result by 15:
\( 264 \times 15 = 3960 \)

Step1: Understand the relationship between monthly and yearly miles

To find the total miles driven in a year, we need to multiply the number of miles driven each month by the number of months in a year.

Step2: Perform the multiplication

Given that Nate's mother drives 225 miles per month and there are 12 months in a year, we calculate:
\( \text{Total miles} = 225 \times 12 \)
Calculate \( 225 \times 12 \):
\( 225 \times 12 = 2700 \)

Answer:

The volume of the box is \( 3960 \, \text{cubic centimeters} \) (or \( 3960 \, \text{cm}^3 \)).

Problem 4: Miles Driven in a Year