Respuesta :
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
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.
Learn more about Cube:
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