Question

PLEASE help me with this question!!!!!!

Answer 1

270
`√(3)` cm³

Explanation:

A regular hexagon can be cut into 6 equilateral triangles.

The area (A) of an equilateral triangle can be calculated as

A =
`(s^2√(3) )/(4)` ← where s is the side length, here s = 6

A =
`(6^2√(3) )/(4)` = 9
`√(3)` cm² ← multiply by 6

area of base = 6 × 9
`√(3)` = 54
`√(3)` cm²

The volume (V) of the prism is calculated as

V = area of base × height = 54
`√(3)` × 5 = 270
`√(3)` cm³