Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

When a weight W kg. is kept on a 6 m × 3 m boat floating over a lake, it sinks by 2 cm. What is W, if the density of water is 1000 kg/cu. m?

### Question 2

A room has a floor size of 5 × 41 sq. m. What is the height of the room if the sum of the areas of the base and roof is equal to the sum of the areas of the four walls?

**A**

$4{21/46}$ m.

**B**

$5{26/45}$ m.

**C**

$3{5/16}$ m.

**D**

$7{7/48}$ m.

**Soln.**

**Ans: a**

Let h be the height, and l and b be the length and breadth. We are given lb + lb = lh + hb + lh + hb. Combining the terms and cancelling 2, we get lb = h(l + b), which gives h = ${lb}/{l + b}$ = ${5 × 41}/{5 + 41}$ = ${205/46}$, which is same as: $4{21/46}$ m.

### Question 3

The ratio of surface area to the volume of a cuboids is 5 : 1, and the sum of reciprocals of two edges is 34, what is the reciprocal of the third edge?

### Question 4

What is the length of a 10 mm wire that has been drawn out of a lump of 22 cu. cm. tin? Take π = 22/7.

### Question 5

How many boxes measuring 1 m × 1m × 1 m should be dropped into a water tank 7 m × 4 m so that the water level rises by 1 m?

### More Chapters | See All...

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This Blog Post/Article "Volume and Surface Areas Quiz Set 002" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2019-08-18.