Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

A room has a floor size of 13 × 37 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**

$9{31/50}$ m.

**B**

$10{41/49}$ m.

**C**

$8{15/52}$ m.

**D**

$12{7/52}$ 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 = ${lb}/{l + b}$ = ${13 × 37}/{13 + 37}$ = ${481/50}$, which is same as: $9{31/50}$ m.

### Question 2

What is the length of an edge of a cube if the ratio of volume to the total surface area is 13 : 31?

### Question 3

What is the weight of a hollow cylindrical pipe 14 cm long, and having internal and external radii as 14 and 16 cm? The pipe is made of a metal of density 6 gm/cc. Take π = 22/7.

### Question 4

An iron tank 2 m × 6 m is filled with water upto a height of 4 m. What surface area of the tank is at a higher risk of corrosion?

### Question 5

The areas of three adjacent faces of a cube are 5, 6 and 30. It's volume is?

### More Chapters | See All...

Square and Cube Roots | Distance and Time | Cubes and Dice | Simple Interest | Averages | Inequalities | Percentages | Problems on Ages | Mirror Images | Direction Sense Test | More...

This Blog Post/Article "Volume and Surface Areas Quiz Set 017" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2019-08-18.