Question

I need help with the process and steps of solving this question

Answer 1

V = 120 cm³

Explanation:

the volume (V) of the prism is calculated as

V = Ah ( A is the area of the base and h the height )

to find h (ON)

use Pythagoras' identity in right triangle MNO

ON² + MN² = MO²

ON² + 7.5² = 8.5²

ON² + 56.25 = 72.25 ( subtract 56.25 from both sides )

ON² = 16 ( take square root of both sides )

ON =
`√(16)` = 4

Then

V = (4.5 × 4) × 4 = 30 × 4 = 120 cm³