A block of wood is in the form of cube whose edge is 3 metre how many rectangular pieces of size 30×20×15cm can be cut from the block
Is this for volume, what grade are you in?
if it is then you would multiply 30x20x15, which is 9000, then I think you divide this by 3. 9000/3= 3000 so the answer would be 3000^3
Since all of 15,20,30 divide 300, the cube is 20x15x10 blocks in size.
So, it can be cut into 3000 blocks.
Or, using the idea above, divide the volume of the cube by the volume of a block:
300^3 / (30x20x15) = 27000000/9000 = 3000
To find out how many rectangular pieces of size 30x20x15cm can be cut from the block of wood, we need to determine the maximum number of such pieces that can fit into the volume of the wood block.
1. Determine the volume of the block of wood:
Given that the edge of the cube is 3 meters, we know that each side of the cube is 3 meters long. Therefore, the volume of the block is calculated by multiplying the length of one side by itself three times:
Volume = side length x side length x side length
= 3m x 3m x 3m
= 27 cubic meters
2. Convert volume to cubic centimeters:
Since the size of the rectangular piece is given in cubic centimeters, we need to convert the volume from cubic meters to cubic centimeters. Remember that 1 meter is equal to 100 centimeters, so:
Volume (cm³) = Volume (m³) x (100 cm/m)³
= 27m³ x 1,000,000 cm³/m³
= 27,000,000 cm³
3. Calculate the volume of one rectangular piece:
The volume of each rectangular piece is given as 30x20x15 cm³:
Volume of one piece = 30 cm x 20 cm x 15 cm
= 9000 cm³
4. Determine the number of pieces that can be cut:
Finally, divide the total volume of the block (in cm³) by the volume of one rectangular piece to find the number of pieces that can be cut:
Number of pieces = Volume of block / Volume of one piece
= 27,000,000 cm³ / 9000 cm³
= 3000 pieces
Therefore, you can cut 3000 rectangular pieces of size 30x20x15cm from the given block of wood.