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
