Respuesta :

Answer:

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:

[tex]\frac{3}{5}\times\frac{1}{5}\times\frac{2}{5}=\text{ }\frac{6}{125}cm^3[/tex]

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:

[tex]\frac{3}{5}\times\frac{4}{5}\times\frac{3}{5}\text{ = }\frac{36}{125}cm^3[/tex]

c) A cube with the given side length

Mathematically, the volume is the cube of the gievn side length as follows:

[tex]\frac{2}{5}\times\frac{2}{5}\times\frac{2}{5}=\frac{8}{125}cm^3[/tex]

d) Cube with side length of 1/5 cm

This is the cube of the side length as follows:

[tex]\frac{1}{5}\times\frac{1}{5}\times\frac{1}{5}\text{ = }\frac{1}{125}cm^3[/tex]

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