The volume of a cuboid is 3600 cubic cm. The areas of two adjacent faces are 225 square cm and 144 square cm. What is the area of the other adjacent face?
- A. 400 square cm ✓
- B. 360 square cm
- C. 320 square cm
- D. 300 square cm
Correct Answer: A. 400 square cm
Explanation
Let dimensions be l, b, h. Volume V = lbh = 3600. Face areas are x=lb=225, y=bh=144, z=hl. Since xyz = (lbh)^2 = V^2, we have 225 \times 144 \times z = 3600^2. Thus, z = \frac{12960000}{32400} = 400 square cm.
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