Question

What is the volume of this rectangular prism?2/5 cm, 2/5 cm, 2/5 cm

Answer 1

To calculate the volume of a rectangular prism you have to multiply the length by the width by the height, the formula is

`V=l\cdot w\cdot h`

The given prism has the following measures:

`\begin{gathered} l=(2)/(5)cm \\ w=(2)/(5)cm \\ h=(2)/(5)cm \end{gathered}`

Replace the formula of the volume with the measures of the prism

`V=(2)/(5)\cdot(2)/(5)\cdot(2)/(5)`

Note that the sides have the same length, so if you multiply 2/5 by 2/5 by 2/5 is the same as calculating (2/5)³

Then

`\begin{gathered} V=((2)/(5))^3 \\ V=(2^3)/(5^3) \\ V=(8)/(125)cm^3 \end{gathered}`

The volume of the prism is 8/125 cm³, you can express it as a decimal value as 0.064 cm³