Question

Which figure has a greater volume and by how much?

The volume of figure 1 is 45 cm greater than the volume of figure 2.
The volume of figure 2 is 45 cm greater than the volume of figure 1.
The volume of figure 1 is 120 cm greater than the volume of figure 2.
The volume of figure 2 is 120 cm greater than the volume of figure 1.
Imagine a small little 3 at the top end of each centimeters

Answer 1

For figure 1 we have:
V1 = (5) * (15) * (6) + (1/2) * (15 * 3) * (6)
V1 = 585
For figure 2 we have:
V2 = (5) * (15) * (6) + (1/3) * (15 * 6) * (3)
V2 = 540
The difference in volumes is given by:
V1-V2 = 585 - 540
V1-V2 = 45 cm ^ 3
Answer:
The volume of figure 1 is 45 cm greater than the volume of figure 2.