Question

these prisms are made from the same size unit cubes.
which rectangular prism has greater volume?
some of the cubes might be hidden behind other cubes. try to visualize all of
the cubes.
choose 1 answer:
a the 2 prisms have equal volume.
b image of a purple rectangular prism
c image of a blue rectangular prism

Explanation:

Step1: Analyze Prism B

For the purple prism (Prism B), we can determine its dimensions. Looking at the figure, it has a length of 3, a width of 2, and a height of 2. The volume of a rectangular prism is given by the formula \( V = l \times w \times h \). So, for Prism B, \( V_B = 3 \times 2 \times 2 = 12 \).

Step2: Analyze Prism C

For the blue prism (Prism C), its dimensions are length 2, width 2, and height 3. Using the volume formula \( V = l \times w \times h \), we get \( V_C = 2 \times 2 \times 3 = 12 \).

Step3: Compare Volumes

Since \( V_B = 12 \) and \( V_C = 12 \), the two prisms have equal volume.

Answer:

A. The 2 prisms have equal volume.