Question

What is the volume of the following rectangular prism?

Answer 1

Answer:

use formula: length * breadth *height

Answer 2

The volume of the given rectangular prism is 6 units³.

Given,

Refer figure, for the rectangular prism,

Base area = $4\frac{1}{2}$ units²,

Height = $1\frac{1}{3}$ units.

To find,

The volume of the rectangular prism.

Solution,

It can be seen that given here is a right rectangular prism, which is similar to or also known as a cuboid.

Now, the volume of a cuboid can be determined using

$V = l \times b \times h$     ...(1)

Where l, b, h are the length, breadth, and width of the cuboid respectively.

Further, if we know the base area $(A_b)$ and height (h) of a cuboid or a right rectangular prism, the following formula can be used for volume,

$V=(A_b) \times h$     ...(2)

Here, for the given prism, we have,

$A_b=4\frac{1}{2}$ units²,

$h=1\frac{1}{3}$ units.

So, using (2),

$V=(A_b) \times h=(4\frac{1}{2}) \times (1\frac{1}{3})$

Simplifying,

$V=(\frac{9}{2}) \times (\frac{4}{3})$

$\implies V=\frac{36}{6}$

⇒ V = 6 units³.

Therefore, the volume of the given rectangular prism is 6 units³.