Question

There are two formulas that can be used to find the volume of a rectangular prism. Find the volume using both formulas.

Answer 1

Answer:

Volume = $\frac{1}{8}$ cubic units.

Step-by-step explanation:

The volume of a rectangular prism is given by,

$V = (\textrm {Length}) \times (\textrm {Width}) \times (\textrm {Height})$  .......... (1) and

$V = (\textrm {Base Area})\times (\textrm {Height})$ .......... (2)

Now, the length of the given prism is $\frac{1}{2}$ units, width is $\frac{1}{2}$ units and the height is $\frac{1}{2}$ units.

So. from equation (1) the volume, V = $(\frac{1}{2}) \times (\frac{1}{2}) \times (\frac{1}{2}) = \frac{1}{8}$ cubic units.

Now, base area = B = $(\frac{1}{2}) \times (\frac{1}{2}) = \frac{1}{4}$ sq. units.

So, from equation (2) we get

$V = (\frac{1}{4}) \times (\frac{1}{2}) = \frac{1}{8}$ cubic units. (Answer)