Question

11 thomas has a sandbox in the shape of a rectangular prism. he wants to purchase sand to fill the sandbox. the sandbox measures 12 feet by 20 feet by 3 feet. if each bag of sand covers 1.5 cubic feet, how many bags of sand will he need to fill the entire sandbox? 12203=720 720/1.5=480 bags

Explanation:

Step1: Calculate the volume of the sandbox

The volume \( V \) of a rectangular prism is given by the formula \( V = l \times w \times h \), where \( l = 12 \) feet, \( w = 20 \) feet, and \( h = 3 \) feet. So, \( V = 12\times20\times3 \).
\( 12\times20 = 240 \), then \( 240\times3 = 720 \) cubic feet.

Step2: Determine the number of sand bags needed

To find the number of bags, divide the volume of the sandbox by the volume each bag covers. Each bag covers \( 1.5 \) cubic feet. So, the number of bags \( n=\frac{720}{1.5} \).
\( 720\div1.5 = 480 \).

Answer:

480