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### Question 1

What is the length of an edge of a cube if the ratio of volume to the total surface area is 41 : 23?

### Question 2

A room has a floor size of 17 × 43 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**

$12{11/60}$ m.

**B**

$13{24/59}$ m.

**C**

$10{51/62}$ m.

**D**

$14{43/62}$ 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 = ${lb}/{l + b}$ = ${17 × 43}/{17 + 43}$ = ${731/60}$, which is same as: $12{11/60}$ m.

### Question 3

How many boxes measuring 1 m × 1m × 1 m should be dropped into a water tank 6 m × 8 m so that the water level rises by 1 m?

### Question 4

How much water flows per hour through a pipe of radius 49 cm, if water flows at 10 km/h? Take π = 22/7.

**A**

7546 cu. m.

**B**

7548 cu. m.

**C**

7544 cu. m.

**D**

7550 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 ${22 × 49 × 49 × 10 × 1000}/{7 × 100 × 100}$, which can easily be cancelled to get 7546 cu. m.

### Question 5

The areas of three adjacent faces of a cube are 2, 3 and 6. It's volume is?

This Blog Post/Article "Volume and Surface Areas Quiz Set 010" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2019-08-18.