the dimensions of a room are 30 feet, 18 feet, 12 feet. What will be the remaining volume of the r

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28 Jun 2010 volume?

the dimensions of a room are 30 feet, 18 feet, 12 feet. What will be the remaining volume of the room
after filling it completely with boxes of size 4*4*4.

OPtion

1) 1104
2) 1100
3) 64
4) 1200
5) 1108
6) 1000
7) 1208
9) 800
10) 0

Solution

1104

Correct Option: 1 Best Solution (9)

Dr.Dipin Singh   14 years AGO

the dimensions of a room are 30 feet, 18 feet, 12 feet.
volume = 30*18*12 .
volume of the room filled with
boxes of size 4*4*4= 18*16*12

difference of these two volumes will give value of unfilled volume.

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Saravanan   14 years AGO

(30*18*12)-((30-2)*(18-2)*12)
1104

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SUDESHNA SEN   14 years AGO

30/4=7.5.
So, lengthwise, 7 cubes of size 4*4*4 can be fitted in the room.
18/4=4.5.
So, breadthwise, 4 cubes of size 4*4*4 can be fitted in the room.
12/4=3.
So, thicknesswise, 3 cubes of size 4*4*4 can be fitted in the room.
Therefore, total 7*4*3 cubes can be fitted in the room whose total volume is= 4*4*4*7*4*3= 5376 cubic feet.
Therefore, the remaining volume of the room= (30*18*12)-5376= 6480-5376= 1104 cubic feet..... Option 1)

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Mamon Sengupta   14 years AGO

30/4=7.5.
So, lengthwise, 7 cubes of size 4*4*4 can be fitted in the room.
18/4=4.5.
So, breadthwise, 4 cubes of size 4*4*4 can be fitted in the room.
12/4=3.
So, thicknesswise, 3 cubes of size 4*4*4 can be fitted in the room.
Therefore, total 7*4*3 cubes can be fitted in the room whose total volume is= 4*4*4*7*4*3= 5376 cubic feet.
Therefore, the remaining volume of the room= (30*18*12)-5376= 6480-5376= 1104 cubic feet..... Option 1)

Like? Yes (1) | No   

Trishita Dasgupta   14 years AGO

30/4=7.5.
So, lengthwise, 7 cubes of size 4*4*4 can be fitted in the room.
18/4=4.5.
So, breadthwise, 4 cubes of size 4*4*4 can be fitted in the room.
12/4=3.
So, thicknesswise, 3 cubes of size 4*4*4 can be fitted in the room.
Therefore, total 7*4*3 cubes can be fitted in the room whose total volume is= 4*4*4*7*4*3= 5376 cubic feet.
Therefore, the remaining volume of the room= (30*18*12)-5376= 6480-5376= 1104 cubic feet..... Option 1)

Like? Yes (1) | No   

ASHOK ROY   14 years AGO

30/4=7.5.
So, lengthwise, 7 cubes of size 4*4*4 can be fitted in the room.
18/4=4.5.
So, breadthwise, 4 cubes of size 4*4*4 can be fitted in the room.
12/4=3.
So, thicknesswise, 3 cubes of size 4*4*4 can be fitted in the room.
Therefore, total 7*4*3 cubes can be fitted in the room whose total volume is= 4*4*4*7*4*3= 5376 cubic feet.
Therefore, the remaining volume of the room= (30*18*12)-5376= 6480-5376= 1104 cubic feet..... Option 1)

Like? Yes (1) | No   

Sudeshna Sengupta   14 years AGO

30/4=7.5.
So, lengthwise, 7 cubes of size 4*4*4 can be fitted in the room.
18/4=4.5.
So, breadthwise, 4 cubes of size 4*4*4 can be fitted in the room.
12/4=3.
So, thicknesswise, 3 cubes of size 4*4*4 can be fitted in the room.
Therefore, total 7*4*3 cubes can be fitted in the room whose total volume is= 4*4*4*7*4*3= 5376 cubic feet.
Therefore, the remaining volume of the room= (30*18*12)-5376= 6480-5376= 1104 cubic feet..... Option 1)

Like? Yes (1) | No   

Parbati Sen   14 years AGO

30/4=7.5.
So, lengthwise, 7 cubes of size 4*4*4 can be fitted in the room.
18/4=4.5.
So, breadthwise, 4 cubes of size 4*4*4 can be fitted in the room.
12/4=3.
So, thicknesswise, 3 cubes of size 4*4*4 can be fitted in the room.
Therefore, total 7*4*3 cubes can be fitted in the room whose total volume is= 4*4*4*7*4*3= 5376 cubic feet.
Therefore, the remaining volume of the room= (30*18*12)-5376= 6480-5376= 1104 cubic feet..... Option 1)

Like? Yes (1) | No   

Somdatta Mukherjee   14 years AGO

30/4=7.5.
So, lengthwise, 7 cubes of size 4*4*4 can be fitted in the room.
18/4=4.5.
So, breadthwise, 4 cubes of size 4*4*4 can be fitted in the room.
12/4=3.
So, thicknesswise, 3 cubes of size 4*4*4 can be fitted in the room.
Therefore, total 7*4*3 cubes can be fitted in the room whose total volume is= 4*4*4*7*4*3= 5376 cubic feet.
Therefore, the remaining volume of the room= (30*18*12)-5376= 6480-5376= 1104 cubic feet..... Option 1)

Like? Yes (1) | No