Question

cubic units.
6 figures d and e are made from unit cubes of the same size. how many of figure d does it take to make figure e? how does the volume of figure e relate to the volume of figure d? explain.

Explanation:

Step1: Count unit cubes in D

Figure D: 2 layers, 2 cubes per layer. So \( 2\times2 = 4 \) unit cubes.

Step2: Count unit cubes in E

Figure E: 2 layers, 4 columns × 2 rows per layer. So \( 2\times4\times2 = 16 \) unit cubes.

Step3: Find ratio (E to D)

Divide E's cubes by D's: \( \frac{16}{4}=4 \). So 4 of D make E. Volume of E is 4× volume of D (since volume is proportional to number of unit cubes).

Answer:

It takes 4 of Figure D to make Figure E. The volume of Figure E is 4 times the volume of Figure D because Figure E has 4 times as many unit cubes as Figure D (16 vs. 4, and \( \frac{16}{4} = 4 \)).