1.A cube has an edge measuring 8cm. Find the number of cubes of edges 2cm that can be cut of from it.

2.The area of the floor of a room is 67.5 sq m. Its volume is 270 m3 . Find the height of the room.

3.How many cubic blocks of wood of side 20 cm can be cut from a block of wood having dimensions of 2 m x 80 cm x 40 cm.

4. If the length of each edge of a cube is doubled how many times does its volume became? How many times does its surface area became?



Answer for first question is
The volume of big cube=8*8*8=512
Volume of small cube=2*2*2=8
Volume of big cube/volume of small cube =number of small cubes so.
So 64 cubes made from big cube
Answer for 3rd question..
Volume of cubiod=200*80*40= 640000cm3
Volume of cube= 20*20*20=8000cm3
Divide volume if cubiod/volume of cube=num of cubes

640000/8000=80 cubes

So 80 cubes are made from cubiod

Answer for fourth question
Let edge of cube = a
Volume of cube=a3
If side is doubled then side=2a
Volume with new side=8a3
So the volume became 8 times
Surface area =6*a2
New surface area =6*2a2
So surface area became 4 times

Thanks if i helped uuu
Jaspreet where is 2nd and and 4th and is wrong..
2nd and is not there and 4th and is wrong
The Brainliest Answer!
1. Volume of the first cube = 8×8×8 =512 cm3 Volume of the small cube =2×2×2 =8cm cm3 No. Small cubes that can be placed in the first cube=512/8=64 cubes 2.volume of the room = l×b×h Area of floor = l×b Therefore height= volume/(l×b) =270/67.5 =4m 3.volume of the whole block =200×80×40= 640000 cm3 Volume of a small block that had to be cut. 20×20×20 = 8000 cm3 Volume of the small cube =2×2×2 =8cm cm3 No. Small blocks that has to be cut from the whole block = 640000/8000=80 bolcks 4. Let the length of the edge of the cube be x. So its surface area = 6×x×x Now the edge of the cube is doubled So new edge of the cube is 2x So new surface area of the cube = 6×2x×2x So the no. of times the surface area became of the new cube as compared to the cube of edge x = 6×2x×2x/6×x×x =4 times So the no. of times the became of the new cube as compared to the cube of edge x = 2x×2x×2x/x×x×x = 8 times
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