Answer:
6 cubes
18 cubes
See below for explanation
Step-by-step explanation:
The question is incomplete without the diagram of the prism or the base stated in the question. Let's assume the volume of the rectangular prism = 18units³. Find the number of cubes needed to complete 1) the base 2) the rectangular prism.
Volume of a rectangular prism = length × width × height
Height = 3unit
Volume = area of base × height
Area of base = volume /height
Area of base = 18/3 = 6unit²
Area of base = length × breadth
6 = l × b
Each unit of the cube = 1
Area of 1unit cube = l× b = 1unit²
For an area of 6unit², 6 cubes there would be needed to complete the base.
One of the ways of finding the volume of a rectangular prism involves dividing the shape into fractional cubes. Afterwards, find the volume of one of the cube and then multiply that volume by the number of cubes that fit into our rectangular prism
Area of 1 unit cube = l×b = 1×1 = 1unit²
Since we know the volume of the rectangular prism, we would find number of cubes that make it up.
In a rectangular prism of volume 18unit³:
the number of cubes to complete the shape × area of unit cube = volume
the number of cubes to complete the shape × 1unit² = 18unit³
the number of cubes to complete the shape = 18unit³/1unit²
= 18 unit
the number of cubes to complete the rectangular prism = 18 cubes