A cuboid block of wood 8 × 16 × 8 is horizontally placed on a table. Then another cube of side 8 is placed on this block. How much surface area is exposed to air?
768 sq. units.
770 sq. units.
766 sq. units.
772 sq. units.
Let the dimensions of the cuboid be L, 2L and L. Its total surface area is 2(L × 2L + 2L × L + L × L) = 10L2. When it is placed on the table, the bottom face is hidden, so net visible area is 10L2 - 2L2 = 8L2. When the cubical block of side L is placed on this block its(i.e., cube's) own L2 and L2 of the cuboidal block is hidden. So it hides 2L2. Thus, the net visible is 8L2 + 6L2 - 2L2 = 12L2 = 12 × 82 = 768 sq. units.
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This Blog Post/Article "Volume and Surface Areas Quiz Set 016" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2019-08-18.