Question

GEOMETRY The volume v of the prism is 1122 cubic inches. Use the formula V=Bh to find the height h of the prism. A hexagonal prism with height labeled h. The base area is labeled B equals 93.5 square inches.

Answer 1

Answer: Height h of the prism is 12 inches

Solution:

Volume of the prism: V=1122 in^3

Height of the prism: h=?

Base area of the prism: B=93.5 in^2

V=B h

Replacing the known values:

1122 in^3 = 93.5 in^2 * h

Solving for h: Dividing both sides of the equation by 93.5 in^2:

(1122 in^3) / (93.5 in^2) = (93.5 in^2 * h) / (93.5 in^2)

12 in = h

h=12 in