Hey there :)
We know the volume formula of a triangular prism
Volume = base area × height of prism
We are given:
Base of triangle = 5 ft
Height of triangle = 3 ft
Height of prism = 7.5 ft
Apply the formula
V =

( 5 )( 3 ) × 7.5
= 7.5 × 7.5
= 56.24 ft³
Answer:
C
Step-by-step explanation:
using the cosine ratio to find p
cos 45° =
= 
cross- multiplying gives
p × cos45° = 6 → [ cos 45° =
]
p ×
= 6
multiply both sides by 
⇒ p = 6
( third option on list )