To find out how many 2 cm cubes can be cut from a wooden block, we need to calculate the volume of the block and divide it by the volume of a 2 cm cube.
The volume of the wooden block is given by multiplying its dimensions together:
Volume of block = length × width × height = 12 cm × 10 cm × 7 cm = 840 cm³
The volume of a 2 cm cube is:
Volume of 2 cm cube = side³ = 2 cm × 2 cm × 2 cm = 8 cm³
To find out the number of 2 cm cubes that can be cut out from the block, we divide the volume of the block by the volume of a single 2 cm cube:
Number of cubes = Volume of block / Volume of 2 cm cube = 840 cm³ / 8 cm³
Now we do the division:
Number of cubes = 105
Therefore, 105 cubes of 2 cm can be cut out from the wooden block measuring 12 cm by 10 cm by 7 cm.
How many 2 cm cubes can be cut out from a wooden block measuring 12 cm by 10 cm by 7 cm?
1 answer