Explanation:
We need to find the volume of the solid shape that remains when we remove the smaller rectangular prism from the larger one.
The volume of the larger rectangular prism is found by multiplying its length, width, and height:
Volume of larger prism = 5 cm x 8 cm x 10 cm = 400 cm³
The smaller rectangular prism has dimensions of 3 cm x 5 cm x 6 cm:
Volume of smaller prism = 3 cm x 5 cm x 6 cm = 90 cm³
When we remove the smaller prism from the larger one, we are left with a space that has a volume equal to the difference between the two volumes:
Volume of part = 400 cm³ - 90 cm³ = 310 cm³
Therefore, the volume of the part is 310 cubic centimeters.