Question

moshe has the container on his desk, as shown, to hold pencils and paper clips. what are the dimensions of the rectangular prisms that make up the container? 2 inches by 4 inches by 6 inches and 2 inches by 2 inches by 4 inches 2 inches by 4 inches by 6 inches and 2 inches by 2 inches by 3 inches 2 inches by 3 inches by 6 inches and 2 inches by 2 inches by 4 inches 2 inches by 3 inches by 6 inches and 2 inches by 2 inches by 3 inches

Explanation:

Step1: Find the length of the shorter prism

The total length of the combined figure is \(7\) inches and the length of the taller prism is \(3\) inches. So the length of the shorter prism is \(7 - 3=4\) inches.

Step2: Analyze the dimensions of the two prisms

Both prisms have a width of \(2\) inches.
The taller prism has dimensions: length \(l = 3\) inches, width \(w=2\) inches, height \(h = 6\) inches (i.e., \(2\times3\times6\)).
The shorter prism has dimensions: length \(l = 4\) inches, width \(w = 2\) inches, height \(h=2\) inches (i.e., \(2\times2\times4\)).

Answer:

2 inches by 3 inches by 6 inches and 2 inches by 2 inches by 4 inches.