Question

1. The heights of two right prisms

are 18 ft. and 30 ft. The bases are
squares with sides 8 ft. and 15 ft.,
respectively. Are the prisms similar?
Explain your reasoning. (2 pts)

Answer 1

They are not similar

Explanation:

To determine whether the prism are similar we need to calculate their volumes

Volume of a prism = Base Area * Height

Volume of the first prism = 18ft *8 * 8ft

Volume of the first prism = 1152ft^2

Volume of the second prism = 30t * 15 * 15ft

Volume of the second prism = 6,750ft^2

Since the volumes are different, the prism are not similar.