An aquarium has a regular hexagonal base with side lengths of 15 centimeters. When the hexagon is divided into six equal triangl

Question

1 year ago

6

es, the height of each triangle is about 13 centimeters. If the aquarium is 50 centimeters tall, what is its volume?

1 answer:

inysia [295] · Answer 1 · 2020-09-01T19:59:22+03:00

6 0

Answer:

$V=29,250\ cm^3$

Step-by-step explanation:

we know that

The volume of a hexagonal prism is given by the formula

$V=Bh$

where

B is the area of the hexagonal base

h is the height of the aquarium

we have

$h=50\ cm$

$B=6[\frac{1}{2}(15)(13)]= 585\ cm^2$

substitute

$V=585(50)=29,250\ cm^3$