Question

Figure shows a solid of uniform cross-section. Find its volume.

Answer 1

Given: The uniform cross‑section is a rectangle 4 cm by 2 cm (area = 4 × 2 = 8 cm²). The prism’s length the distance that cross‑section is carried is 6 cm + 4 cm = 10 cm (not 6 + 4 + 6).

Step-wise calculation:

1. Area of cross‑section

A = 4 × 2

= 8 cm²

2. Length

L = 6 + 4   ...(The other “6” on the figure is a vertical height, not part of the prism’s length)

= 10 cm

3. Volume

V = A × L 

= 8 × 10 

= 80 cm³.