讲解这道题---**Textual Information:** 已知如图, 在直三棱柱ABC - A₁B₁C₁中, AB ⊥ AC, AB = AC = AA₁ = 1. (1) 求该直三棱柱的侧面积和体积; (2) 求直线A₁B与AC₁所成的角. **Translation of Textual Information:** As shown in the figure, in the right triangular prism ABC - A₁B₁C₁, AB ⊥ AC, AB = AC = AA₁ = 1. (1) Find the lateral surface area and volume of this right triangular prism; (2) Find the angle between the line A₁B and AC₁. **Chart/Diagram Description:** * **Type:** 3D geometric figure - a right triangular prism labeled ABC - A₁B₁C₁. * **Main Elements:** * **Vertices:** A, B, C form the bottom triangular base, and A₁, B₁, C₁ form the top triangular base. A₁ is directly above A, B₁ above B, and C₁ above C. * **Edges:** Edges of the bottom base are AB, BC, AC. Edges of the top base are A₁B₁, B₁C₁, A₁C₁. Lateral edges are AA₁, BB₁, CC₁. * **Lines:** Visible edges are shown as solid lines (AB, BC, BB₁, CC₁, B₁C₁, A₁C₁). Hidden edges are shown as dashed lines (AC, AA₁, A₁B₁). Additional lines within the prism are shown as dashed lines connecting vertices (A₁B, AC₁). * **Shapes:** The bases are triangles (ABC and A₁B₁C₁). The lateral faces are rectangles (ABB₁A₁, BCC₁B₁, ACC₁A₁). * **Given Conditions represented in diagram:** * AB ⊥ AC (indicated by a right angle symbol or implicitly by the problem statement). * AB = AC = AA₁ = 1. * **Relative Position and Direction:** The prism is oriented such that the base ABC is at the bottom and A₁B₁C₁ is at the top. The lateral edges (AA₁, BB₁, CC₁) are perpendicular to the bases, as it is a right triangular prism. The angle between AB and AC in the base triangle ABC is a right angle.