Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

What is the surface area of the cuboid obtained by joining two equal cubes of 512 cu. cm volume each?

**A**

640 sq. cm.

**B**

642 sq. cm.

**C**

638 sq. cm.

**D**

644 sq. cm.

**Soln.**

**Ans: a**

Let the side of a cube be L. Then L^{3} = 512, which gives L = 8. The resulting cuboid has L = L, H = L, and B = 2L. The surface area is 2 × (LB + BH + HL) = 2 × (2L^{2} + 2L^{2} + L^{2}) = 10 × L^{2} = 10 × 8^{2} = 640 sq. cm.

### Question 2

What is the volume of a cone generated by rotating a right angled triangle with sides 25, 7 and 24 cm? The rotation is done about the side of length 24 cm.

### Question 3

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 4

How much water flows per hour through a pipe of radius 2 cm, if water flows at 10 km/h?

### Question 5

What is the surface area of the cuboid obtained by joining two equal cubes of 343 cu. cm volume each?

**A**

490 sq. cm.

**B**

492 sq. cm.

**C**

488 sq. cm.

**D**

494 sq. cm.

**Soln.**

**Ans: a**

Let the side of a cube be L. Then L^{3} = 343, which gives L = 7. The resulting cuboid has L = L, H = L, and B = 2L. The surface area is 2 × (LB + BH + HL) = 2 × (2L^{2} + 2L^{2} + L^{2}) = 10 × L^{2} = 10 × 7^{2} = 490 sq. cm.

This Blog Post/Article "Volume and Surface Areas Quiz Set 019" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2019-08-18.