Question

Please solve all the questions. Anwers are given but i needed the problem.

Choose the correct answer
1. The volume of a cube with side 7 cm is
A.21cm3
B.210cm3
C.343cm3
D.49cm3

2. 1litre = cm3

3. The surface area of a cube whose edge is 11 cm is
A.121cm2
B.33cm2
C.726cm2
D.762 cm2

4. Volume of a cube with side 4x will be ----------
A) 64x³
B) 16x³
C)20x³
D)64x
5. The volume of a cuboid whose length, breadth and height are 2x, 3y and 4z is ---
A) 6xyz
B) 24xyz
C) 48xyz
D) 96xyz

TYPE 1 QUESTIONS
1. Find the surface area of a cube whose edge 9cm?
Ans=486cm2

2. Find the height of a cuboid whose volume is 275 cm3 and base area is 25cm2. Ans=11cm

3. Find the surface area of a box whose length, breath, height are 16cm, 8cm, and 6cm respectively.
Ans=544cm2

4. The circumference of the base of a cylinder is 132cm and the height is 25cm. Find the volume of the cylinder.
Ans=34650cm3

5. The diameter of the base of a right circular cylinder is 42cmand its height is 10cm Find the area of the curved surface and total surface area.
Ans=4092cm2

TYPE 2 QUESTIONS
1. How many 5cm cubes can be obtained from a cube whose edge is 20cm.
Ans=64

2. The earth taken out from a pit is evenly spread over a rectangular field of length 90cm, width 60cm. If the volume of the earth dug is 3078m3, find the height of the field raised.
Ans=57cm

3. The volume of a water tank is 3 m³. Find its capacity in liters.
Ans=3000litres

4. Find the volume of a cube whose surface area is 54cm2.
Ans=27cm3

5. The radius of the base of a right circular is 132cm and its height is 25cm. Find the volume of the cylinder.
Ans=34650cm3

TYPE 3QUESTIONS
1. How many soap cakes can be placed in a box of size 56.0.4m, 0.25cm?
Ans=640

2. If the rain fall on a certain day was 5cm. How many liters of water fell on 1 hectare on that day (1 hectare =10000m2).
Ans=500000litres

3. The dimensions of a cuboid are in the ratio 1:2:3 and its total surface area is 88m2. Find the dimensions.
Ans=2m, 4m,6m

4. A road roller takes 750complete revolutions to move once over to level a road. Find the area of the road if the diameter of the road roller is 91cm and length is 1.25cm
Ans=2681.25m2

5. A cubical vessel is 10 cm long and 8cm wide. How high it must be made to hold 480 cu cm of liquid
Ans=5.35cm

Answer 1

radius can find by using l^2=h^2+ r^2

Answer 2

➡ Formulae of Cylinder : ➡

✏ Volume of Cylinder = πr²h

✏ Curved Surface Area of Cylinder = 2πrh

✏ Total Surface Area of Right Circular Cylinder = 2πrh (r+h)

✒ Given :

→ Height of Cylinder = 7 Centimeters

→ Radius of Cylinder = 10 Centimeters

✒ To Find : Total Surface Area of Right Circular Cylinder ?

✒ $\bf\:Solution :$

→ Total Surface Area of Right Circular Cylinder = 2πr(r+h)

→ Total Surface Area of Right Circular Cylinder = 2×22/7 × 10 (10+7)

→ Total Surface Area of Right Circular Cylinder = 44/7× 10(17)

→ Total Surface Area of Right Circular Cylinder = 44/7 × 170

→ Total Surface Area of Right Circular Cylinder = 7480 / 170

[ ✒Total Surface Area of Right Circular Cylinder = 1068.57 Cm² ✒ ]

{ Therefore, Total Surface Area of Right Circular Cylinder is 1068.57 cm² }. ✍