First we look for the area of the base of the prism:
A = (1/2) * (b) * (h)
Where,
b: base of the triangle
h: height of the triangle
For the base we have:
b = 10 * sine (30)
b = 5
For the height we have:
h = 10 * sine (60)
h = 8.7
Substituting we have:
A = (1/2) * (5) * (8.7)
A = 21.75
The prism volume will be:
V = A * H
Where,
H: prism height
V = (21.75) * (15)
V = 326.25
Round to the nearest tenth:
V = 326.3 m ^ 3
Answer:
the volume is:
V = 326.3 m ^ 3
