The answer choices ? did u forgot that
24 cubes can filled up the prism
Solution:
The image of the question is attached below.
Given data:
Length of the prism = 2 cm
Breadth of the prism = 1 cm
Height of the prism =
cm
Volume of the prism = length × breadth × height
![$=2\times 1\times \frac{3}{2}](https://tex.z-dn.net/?f=%24%3D2%5Ctimes%201%5Ctimes%20%5Cfrac%7B3%7D%7B2%7D)
cubic cm
Volume of the prism = 3 cubic cm
Side length of the cube =
cm
Volume of the cube = side × side × side
![$=\left(\frac{1}{2}\right)^{3}](https://tex.z-dn.net/?f=%24%3D%5Cleft%28%5Cfrac%7B1%7D%7B2%7D%5Cright%29%5E%7B3%7D)
cubic cm
Volume of the cube =
cm
![$\text{Number of cubes} =\frac{\text{Volume of the prism}}{\text{Volume of the cube}}](https://tex.z-dn.net/?f=%24%5Ctext%7BNumber%20of%20cubes%7D%20%3D%5Cfrac%7B%5Ctext%7BVolume%20of%20the%20prism%7D%7D%7B%5Ctext%7BVolume%20of%20the%20cube%7D%7D)
![$=\frac{3}{\frac{1}{8} }](https://tex.z-dn.net/?f=%24%3D%5Cfrac%7B3%7D%7B%5Cfrac%7B1%7D%7B8%7D%20%7D)
![=3\times8](https://tex.z-dn.net/?f=%3D3%5Ctimes8)
![=24](https://tex.z-dn.net/?f=%3D24)
Number of cubes = 24
Hence 24 cubes can filled up the prism.
The answer is D because it’s going backwards. In the end the number line and the expression still have the same answer which is -20