For which of the following solids is the lateral/curved surface area and total surface area the same ?
✅ Answer & Solution
✅ Correct Answer: D
Step 1: A sphere has no flat face — its whole surface is one single curved surface.
Step 2: For a sphere,
$$\text{CSA}=4\pi r^{2}\quad\text{and}\quad \text{TSA}=4\pi r^{2}$$
So CSA $=$ TSA.
Step 3: For a hemisphere, TSA $=3\pi r^{2}$ but CSA $=2\pi r^{2}$ (the flat circular face is extra), so they differ.
Step 4: For a cube, LSA $=4a^{2}$ but TSA $=6a^{2}$; for a cuboid too, LSA $\neq$ TSA.
Correct option is (D) Sphere.
✅ Verified by Super Admin