What is the length of an edge of a cube if the ratio of volume to the total surface area is 31 : 41?
A cuboid block of wood 5 × 10 × 5 is horizontally placed on a table. Then another cube of side 5 is placed on this block. How much surface area is exposed to air?
300 sq. units.
302 sq. units.
298 sq. units.
304 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 × 52 = 300 sq. units.
What is the length of a 10 mm wire that has been drawn out of a lump of 33 cu. cm. tin? Take π = 22/7.
What is the weight of a hollow cylindrical pipe 56 cm long, and having internal and external radii as 13 and 15 cm? The pipe is made of a metal of density 9 gm/cc. Take π = 22/7.
When a weight W kg. is kept on a 3 m × 8 m boat floating over a lake, it sinks by 3 cm. What is W, if the density of water is 1000 kg/cu. m?
This Blog Post/Article "Volume and Surface Areas Quiz Set 006" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2019-08-18.