Question

. If volume of a rectangular prism is 192 cm^3. Find height of prism if its base area is 32 cm^2. *​

Answer 1

Given:

If the volume of a rectangular prism is 192 cm³.

To find:

The height of the prism if its base area is 32 cm².

Solution:

The volume of the rectangular prism = 192 cm³

The area of the base of the prism = 32 cm²

Let "h" represents the height of the rectangular prism.

We know the formula of the volume of a rectangular prism is:

$\boxed{\bold{Volume \:of\:a\:rectangular \:prism = Area \:of\:base \times height = l wh}}$

Therefore, on substituting the given values in the formula above, we get

$192 = 32 \times h$

$\implies h = \frac{192}{32}$

$\implies \bold{h = 6 \:cm}$

Thus, the height of the prism is → 6 cm.

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