A pentagonal (five-sided) prism has a base area of 50 square cm and a volume of 3000 cubic cm. What is its height?

Respuesta :

Answer:

h=60 cm

Step-by-step explanation:

-Given a pentagonal prism of base area 50 sq cm and Volume of 3000 cubic cm.

-The volume of an object is calculated by multiplying the base area by the height.

-Let the prism's base area be denoted by A and h to denote height;

[tex]V=Ah[/tex]

#Substitute the given values to solve for height;

[tex]V=Ah\\\\3000=50h\\\\h=\frac{3000}{50}\\\\=60\ cm[/tex]

Hence, the prism's height is 60 cm