Answer:
Step-by-step explanation:
Here, we are to match the correct answer given the dimensions of each of the shapes
We proceed as follows:
a) The volume of the rectangular prism
Mathematically, the volume is the product of the base rectangle and the height
We have this as:
![(3)/(5)*(1)/(5)*(2)/(5)=\text{ }(6)/(125)cm^3](https://img.qammunity.org/2023/formulas/mathematics/college/sy23fjuypjduhxhef6smc8izj9cus9bc5z.png)
b) The volume of the rectangular prism
This is same as above
It is the product of the side lengths
Mathematically, we have this as:
![(3)/(5)*(4)/(5)*(3)/(5)\text{ = }(36)/(125)cm^3](https://img.qammunity.org/2023/formulas/mathematics/college/mlqjnxqxqhegxse03bqrzps9ogojbicw5b.png)
c) A cube with the given side length
Mathematically, the volume is the cube of the gievn side length as follows:
![(2)/(5)*(2)/(5)*(2)/(5)=(8)/(125)cm^3](https://img.qammunity.org/2023/formulas/mathematics/college/na4pdat95hjqkp1l2byx5fhdhy0g0vgrgp.png)
d) Cube with side length of 1/5 cm
This is the cube of the side length as follows:
![(1)/(5)*(1)/(5)*(1)/(5)\text{ = }(1)/(125)cm^3](https://img.qammunity.org/2023/formulas/mathematics/college/74orckh22k2v30kgqzkyo2xxwyt2xi2j3h.png)