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### Question 1

The areas of three adjacent faces of a cube are 4, 8 and 32. It's volume is?

### Question 2

How many boxes measuring 1 m × 1m × 1 m should be dropped into a water tank 7 m × 8 m so that the water level rises by 1 m?

### Question 3

How much water flows per hour through a pipe of radius 14 cm, if water flows at 10 km/h?

**A**

196 π cu. m.

**B**

198 π cu. m.

**C**

194 π cu. m.

**D**

200 π cu. m.

**Soln.**

**Ans: a**

In one hour, a water column of length 10 km is delivered through the cylindrical pipe. The equivalent volume is π × ${14 × 14 × 10 × 1000}/{100 × 100}$, which can easily be cancelled to get 196π cu. m.

### Question 4

What is the volume of rain water collected in a right cylindrical can of radius 7 cm, if 7 cm rainfall is recorded in the city?

### Question 5

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?

**A**

300 sq. units.

**B**

302 sq. units.

**C**

298 sq. units.

**D**

304 sq. units.

**Soln.**

**Ans: a**

Let the dimensions of the cuboid be L, 2L and L. Its total surface area is 2(L × 2L + 2L × L + L × L) = 10L^{2}. When it is placed on the table, the bottom face is hidden, so net visible area is 10L^{2} - 2L^{2} = 8L^{2}. When the cubical block of side L is placed on this block its(i.e., cube's) own L^{2} and L^{2} of the cuboidal block is hidden. So it hides 2L^{2}. Thus, the net visible is 8L^{2} + 6L^{2} - 2L^{2} = 12L^{2} = 12 × 5^{2} = 300 sq. units.

This Blog Post/Article "Volume and Surface Areas Quiz Set 015" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2019-08-18.