Question

1. How many cubes of 3 cm edge can be cut out of a cube of 18 cm edge?
2. A cube has each edge 2 cm and a cuboid is 1 cm long. 2 cm wide and 3 cm high. The paint in a certain
container is sufficient to paint an area equal to 54 cm. Can you paint both cube and cuboid with the
given container? If yes, give reason in support of your answer.
3. The whole surface area of a cuboidal sheet is 8788 sq cm. If the length, breadth and height are in the ratio of 4:3:2. then find the length.
4. If the side of a cube is increased by 12% by how much percent does its volume increase?
5. Three solid cubes of sides 1 cm, 6 cm and 8 cm are melted to form a new cube, find the surface area of
the new cube thus formed.
6. The dimensions of an open box are 50 cm, 40 cm and 23 cm and its thickness is 3 cm. If 1 cubic cm of
metal used in the box weighs 0.5 cms, find the weight of the box.
7. A boat having a length of 3 m and breadth 2 m is floating on a lake. The boat sinks by 1 cm when a man
gets on it. What is the mass of man?
The height of a wall is six times its width and the length of the wall is seven times its height. If volume of
the wall is 16128 m', what is its width?
015. The volume of a rectangular block of stone is 10368 dm'. Its dimensions are in the ratio of 3:2:1. If its
entire surface is polished at 2 paisa per dm', then find the cost incurred to polish
016. A cuboidal tank is 8 m long, 6 m wide and 25 m deep. How many litres of water can it hold? (1m' = 1000 litres)​

Answer 1

Answer:

1 . Let the number of cubes that can be cut from bigger cube = n.

Then, n x Volume of smaller cube = Volume of bigger cube

Edge of smaller cube = 3 cm

Edge of bigger cube = 18 cm

n×(3)3=(18)3

=> n=18×18×183×3×3

Therefore, n = 6×6×6 = 216 cubes.

2. Surface area of cube which can be painted = 6(Side)2 = 6(2)2 = 24 cm2

Now, surface area of cuboid which can be painted

= 2(lb + bh + lh)

= 2(2 + 6 + 3) = 22 cm

Total surface area of both cube and cuboid

= 22 + 24 = 46 cm2 < 54 cm2

Therefore, both cube and cuboid can be painted.

Answer 2

Answer:

answer :

all the three R's help to cut down on the amount of waste we throw away. They conserve natural resources, landfill space and energy. Plus, the three R's save land and money communities must use to dispose of waste in landfills.

hope it helps

both cube n cuboid can be painted ..

thank you ...