Question

63 mike needs to pack school supplies for the summer. he stacks two start packing. what is the total volume of the boxes? a 48? inches³ b 72? inches³ c 120? inches³ d 168? inches³ 64. greg stacks two boxes on a shelf as shown.

Explanation:

Step1: Calculate the volume of the first box

The formula for the volume of a rectangular prism is \(V = l\times w\times h\). For the top - box, \(l = 6\) in, \(w = 2\) in, \(h = 4\) in. So \(V_1=6\times2\times4 = 48\) \(in^3\).

Step2: Calculate the volume of the second box

For the bottom - box, \(l = 12\) in, \(w = 2\) in, \(h = 3\) in. Using the volume formula \(V = l\times w\times h\), we get \(V_2=12\times2\times3=72\) \(in^3\).

Step3: Calculate the total volume

The total volume \(V = V_1 + V_2\). Substitute \(V_1 = 48\) \(in^3\) and \(V_2 = 72\) \(in^3\) into the formula. So \(V=48 + 72=120\) \(in^3\).

Answer:

C. \(120\) \(inches^3\)