Question

my mom built a new sandbox that is 3 m long, 2 m wide, and 1 m high for my sister and me.
sand for the sandbox costs $4.50 per cubic meter.
how much will it cost to completely fill the sandbox with sand?
$

Explanation:

Step1: Calculate the volume of the sandbox

The sandbox is a rectangular prism, and 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. Here, \( l = 3 \, \text{m} \), \( w = 2 \, \text{m} \), and \( h = 1 \, \text{m} \). So, \( V = 3 \times 2 \times 1 = 6 \, \text{cubic meters} \).

Step2: Calculate the cost of the sand

The cost per cubic meter of sand is \( \$4.50 \). To find the total cost, we multiply the volume of the sandbox by the cost per cubic meter. So, the total cost \( C = 6 \times 4.50 = 27 \).

Answer:

\( 27 \)