Triangular prism with side lengths and height marked.

Let’s solve this step by step.

We are given a 3D shape — it looks like a triangular prism. The base is a triangle, and the length of the prism (the distance between the two triangular ends) is 14 cm.

Looking at the triangular face:
- All three sides are 10 cm → so it’s an equilateral triangle.
- There’s a dashed line labeled “8.3 cm” with a right-angle symbol → that’s the height of the triangle (from one vertex perpendicular to the opposite side).

To find the volume of a prism, we use:

> Volume = Area of the base × Height of the prism

Here:
- Base = the triangular face
- Height of the prism = 14 cm (the length connecting the two triangles)

Step 1: Find area of the triangular base.

Area of a triangle = (base × height) ÷ 2

In our triangle:
- base = 10 cm
- height = 8.3 cm

So,

Area = (10 × 8.3) ÷ 2
= 83 ÷ 2
= 41.5 cm²

Step 2: Multiply by the length of the prism (14 cm)

Volume = 41.5 × 14

Let’s calculate that carefully:

41.5 × 10 = 415
41.5 × 4 = 166
Add them: 415 + 166 = 581

So, volume = 581 cm³

Double-checking:

Alternative way: 41.5 × 14
= (40 + 1.5) × 14
= 40×14 + 1.5×14
= 560 + 21 = 581 ✔

Final Answer:
581