Cube & Cuboid Practice Question

No. of Question : 23
Base : Sainik School & Military School Class VI

1.      Find the volume of a cuboid whose dimensions are

(i) length = 12 cm, breadth = 8 cm, height = 6 cm

(ii) length = 60 m, breadth = 25 m, height = 1.5 m

2.      The dimensions of a match box are 6 cm × 3.5 cm × 2.5 cm. Find the volume of a packet containing 12 such match boxes.

3.      The length, breadth and height of a chocolate box are in the ratio 5 : 4 : 3. If its volume is 7500 cm3, then find its dimensions.

4.      The length, breadth and depth of a pond are 20.5 m, 16 m and 8 m respectively. Find the capacity of the pond in litres

5.      The dimensions of a brick are 24 cm × 12 cm × 8 cm. How many such bricks will be required to build a wall of 20 m length, 48 cm breadth and 6 m height?     

6.      The volume of a container is 1440 m3. The length and breadth of the container are 15 m and 8 m respectively. Find its height.             

7.      Find the volume of a cube each of whose side is (i) 5 cm (ii) 3.5 m (iii) 21 cm

8.      A cubical milk tank can hold 125000 litres of milk. Find the length of its side in metres.       

9.      A metallic cube with side 15 cm is melted and formed into a cuboid. If the length and height of the cuboid is 25 cm and 9 cm respectively then find the breadth of the cuboid.  

10.   3 Identical Cubes of Side Length 5 Cm Are Joined in Different Ways as Shown. Find the Surface Area of the Cube/Cuboid Formed

11.   The Surface Area of a Cube is 150 M2. Find Its Side Length

12.   the Surface Area of a Cuboid is 492 Cm2. Find the Breadth of the Cuboid if Its Length and Height Are 8 Cm and 12 Cm Respectively

13.   the Length, Breadth, and Height of a Cuboid Are in the Ratio 4: 3: 5. The Surface Area of the Cuboid is 2350 Cm2. Find Its Length, Breadth, and Height

14.   a Cuboidal Hall Measures 25m × 12m × 5m. The Walls and Ceiling of the Hall Need to be Plastered. Find the Area to be Plastered

15.   Rekha Has to Make 80 Cardboard Boxes That Measure 8cm × 9cm × 4cm Each. If the Cardboard Used to Make These Boxes Costs ₹ 5 Per Sq. Cm, How Much Money Would be Required to Buy Cardboard to Make 80 Such Boxes?

16.   Find the Cost of Painting the Four Walls of a Cuboidal Room of Length 5.2 M, Breadth 3.1 M, and Height 3 M at the Rate of ₹ 40 Per M2

17.   Find the Cost of Tiling the Floor of a Room Measuring 8m × 6m × 3m at the Rate of ₹ 60 Per M2

18.    Volume of Cuboid of Length 8cm and Breadth 5cm is 80cm3 Find Its Surface Area

19.    Each Side of Cuboid is Increase by 20% . Find Percentage Increase in the Volume of the Cuboid

20.   a Solid Bar is in Shape of Cuboid Having Length is 120 Cm, Height 7 Cm and Breadth 5 Cm. If 1cm3 Metal Weight is 10g. Find the Weight of the Bar

21.   a Cubical Water Tank of Side Length 3.4 M

(a)    How much water can each tank store?

(b)    How much water can 6 such tanks store?

(c)    How much water tank required to store 117912 L water? (1m3 = 1000L)

22.   a Metal Bas Measuring 1m X 1.3m X 2.1m is Melted and Recast in to Cuboid Blocks Having Length 20cm Each. How Many Such Blocks Can be Formed?

23.   Tank Used to Store Chemical is of Cuboid Form of Dimension 12ft X 6ft X 5ft. The Cost of Painting the Tank is ₹ 80 Per Sq. Ft. The Chemical Filled in the Tank Cost ₹ 120 Per Ft3. Find

(d) The cost of painting the tank.

(e) The total worth of chemical in the tank.