Question

pre-algebra ic sem 2 fall 2025
semester a
02:46:53
what is the volume of the container shown?
1,920 in³ 1,584 in³
576 in³ 1,080 in³

Explanation:

Step1: Calculate the volume of the lower part

The lower part is a rectangular prism with length \(14\) in, width \(6\) in, and height \(20 - 4=16\) in.
The volume formula for a rectangular prism is \(V = l\times w\times h\).
So, \(V_1=14\times6\times16 = 14\times96=1344\) \(in^3\).

Step2: Calculate the volume of the upper part

The upper part is a rectangular prism with length \(10\) in, width \(6\) in, and height \(4\) in.
Using the volume formula \(V = l\times w\times h\), we have \(V_2 = 10\times6\times4=240\) \(in^3\).

Step3: Calculate the total volume

The total volume \(V = V_1+V_2\).
\(V=1344 + 240=1584\) \(in^3\).

Answer:

\(1,584\ in^3\)