Question

Length: 1feetWidth: 1 footHeight: 2. feetThe lengths of the sides of a small cube foot each.Part A: How many small cubes can be packed in the rectangular prism? Show your work. (5 points)Part B: Use the answer obtained in part A to find the volume of the rectangular prism in terms of the small cube and a unit cube. (5 points)

Answer 1

`\begin{gathered} \text{volume of the rectangular prism=1x1x2=2} \\ \text{volume of the smal cube=1x1x1=1} \\ we\text{ can compare these volumes with the ratio:} \\ \frac{\text{volume of the rectangular prism}}{\text{volume of the small cube}}=(2)/(1)=2 \\ \text{hence, 2 small cube can be packed in the rectangular prism} \end{gathered}`