How many cubes with side lengths of 1/4cm does it take to fill the prism?
Length: 2cm
Width: 7/4cm
Height: 1cm

Given:

The length of the rectangular prism is 2 cm.

The width of the prism is cm.

The height of the prism is 1 cm.

The side lengths of the cube is cm.

We need to determine the number of cubes with side lengths would fill the prism.

Volume of the cube:

The volume of the cube can be determined using the formula,

Substituting the value, we get;

Thus, the volume of the cube is

Volume of the rectangular prism:

Volume of the rectangular prism can be determined using the formula,

Substituting the values, we get;

Thus, the volume of the rectangular prism is 3.5 cm³

Number of cubes:

The number of cubes can be determined by dividing the volume of the prism by the volume of the cube.

Thus, we have;

Thus, the number of cubes that fill the prism are 224 cubes.

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