Answer:
A. 1,485 cubic cm. B. 27
Step-by-step explanation:
The new prism is dilated by a factor of 3, that means it's made bigger, 3 times bigger on each side.
The dimensions of the new prism are then 12 cm by 7.5 cm by 16.5 cm.
Its volume is then of 12 x 7.5 x 16.5 = 1,485 cubic cm
To answer the second question...
Let's calculate the volume of the original prism:
The original prism's volume was 4 x 2.5 x 5.5 = 55 cubic cm
The new volume is then 1485 / 55 = 27 times bigger than the original.
Which is normal, since we increased each side (dimension) by a factor of 3, so 3x3x3 = 27.
