Hafiz is building a rectangular prism. The base of his prism is shown below. The height of his prism is 3 units.

How many more cubes does Hafiz need to complete his prism?

6 cubes

18 cubes

See below for explanation

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

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