A right rectangular prism has a length of 2 1/2 feet, a width of 3 feet,and a height of 1 1/2 feet. Unit cubes with side lengths of 1/2 foot are added to completely fill the prism with no space remaining. What is the volume, in cubic feet, of the right rectangular prism

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W0lf93
As I think it is easy to answer the volume of prism I will also calculate no of small prism that can fit inside the larger one  
so volume = length * width * height
 volume of larger prism
 vp=45/4 ft^3 =11.25
 volume of small cubes
 vs=1/2*1/2*1/2
 vs=0.125 ft^3
 now numbers of cube that can fit
 n=vp/vs
 n= 11.25/.125
 n=90
 so 90 smaller cubes will completely fill in the prism

A cube is a three-dimensional object whose length, width, and height are all equal.  The number of cubes that will fit in the cuboid is 90.

What is a cube?

A cube is a three-dimensional object whose length, width, and height are all equal.

The volume of the right rectangular prism can be written as,

[tex]\rm \text{Volume of cuboid} = 2.5 ft \times 3 ft \times 1.5 ft = 11.25\ ft^3[/tex]

The volume of unit cubes is:

[tex]\rm \text{Volume of Cube} = (0.5\ ft)^3 = 0.125\ ft^3[/tex]

The number of cubes that will fit in the cuboid is:

[tex]\text{Number of Cubes} = \dfrac{11.25}{0.125} = 90[/tex]

Hence, the number of cubes that will fit in the cuboid is 90.

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