Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

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?

**A**

768 sq. units.

**B**

770 sq. units.

**C**

766 sq. units.

**D**

772 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 × 8^{2} = 768 sq. units.

### Question 2

What is the radius of a sphere if the ratio of volume to the surface area is 23 : 17?

### Question 3

How much water flows per hour through a pipe of radius 7 cm, if water flows at 10 km/h?

### Question 4

The slant height of a right conical tent of height 15 m is 17 m. What is the curved surface area?

### Question 5

A cone of height 6 cm and radius of base 12 cm is made up of modeling clay. A child reshapes it in the form of a sphere. What is the radius of the sphere?

### More Chapters | See All...

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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 2020-02-07. Published on: 2016-05-11