How many 1/4 cm cubes are needed to completely fill the rectangular prism?
To find out how many 1/4 cm cubes are needed to completely fill the rectangular prism, we need to multiply the length, width, and height of the prism.
Let's say the length is 6 cm, the width is 4 cm and the height is 3 cm.
The volume of the rectangular prism can be calculated by multiplying the length, width, and height:
Volume = Length × Width × Height
= 6 cm × 4 cm × 3 cm
= 72 cm³
Since each 1/4 cm cube has a volume of 1/4 cm³, we can divide the volume of the prism by the volume of each cube to determine how many cubes are needed:
Number of cubes = Volume of prism / Volume of each cube
= 72 cm³ / 1/4 cm³
= 72 cm³ × 4 cm³/1 cm³
= 288 cubes
Therefore, 288 1/4 cm cubes are needed to completely fill the rectangular prism.