#### Table of contents

## Important Formula

### Cuboid

Cubes

### Cylinders

### Spheres

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Practice Questions

**1. If l, b, h of cuboid are 12, 9 and 10 cm respectively. Find total surface area in cm^2 .**

a. 636

b. 416

c. 256

d. 318

**2. A rectangular water tank measures 15x6 m at top and is 10m deep. It is full of water. if water is drawn out lowering the level by 1m, then find how much water has been drawn out.**

a. 110m^{3}

b. 90m^{3}

c. 100m^{3}

d. 105m^{3}

**3. The hall is 15 m long and 12 m broad. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, the volume of the hall is**

a. 1100m^{3}

b. 1500m^{3}

c. 1200m^{3 }

d. 1005m^{3}

**4. Edge of a cube is 5cm. find its total surface area and lateral surface area.**

a. 150 sq.cm

b. 100 sq.cm

c. 200 sq.cm

d. 300 sq. cm

**5. The surface area of a cube is 600 cm2. the length of its diagonal is:**

a. 10/√3 cm

b. 10/√2 cm

c. 10/√3 cm

d. 10/√2 cm

**6. Find the volume, if the surface area of a cube is 150 sq. cm?**

a. 100 cu. cm

b. 125 cu. cm

c. 200 cu. cm

d. 50 cu. cm

**7. Find the weight of a pipe with the following dimensions – exterior diameter is 17 cm, interior diameter is 15 cm and length is 1000 cm. one cubic cm of iron is 0.9 grams.**

a. 46.23kg

b. 45.23kg

c. 23.45kg

d. 23.46kg

**8. The curved surface area of a cylinder is thrice the area of its base. if “r” is the radius of the base and “h” is its height, then r:h is**

a. 3:2

b. 4:3

c. 2:3

d. 3:4

**9. A rectangular is sheet of 50*100 cm is rolled into a cylinder of height 50 cm. The cost of painting is ₹50 per meter square. What will be the cost of painting the outer surface area of the cylinder in ₹?**

a. 1000 π

b. 2000 π

c. 750 π

d. 500 π

**10. Find the volume of the largest possible sphere circumscribed by a cube of edge 8 cm.**

a. 16 π

b. 64 π

c. 32π

d. 128 π

**11. If the radius of a sphere is decreased by 24 %, by what % surface area will decrease.**

a. 48%

b. 42.2 %

c. 48.2%

d. 40%

**12. Cylinder’s radius is 12cm filled up to depth of 20cm. A spherical ball is dropped, level raised by 6.75. What’s the radius of the ball.**

a. 9cm

b. 3cm

c. 12cm

d. 6cm

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