Question

A rectangular prism is filled with 810 cubes with an edge length of 1/3 cm. What is the volume of this prism?

Answer 1

Answer:

30 cubic centimeters

Step-by-step explanation:

The edge length given in the question for one cube is $\frac{1}{3}$ cm.

We know volume of a cube with edge length $a$ is calculated as

$V=a^3$

Thus volume of one cube = $(\frac{1}{3} )^3 = \frac{1}{27}$ cubic centimeters

So,

The volume of 810 cubes = $810\times \frac{1}{27}$ = 30 cubic centimeters

As the prism is filled with total 810 cubes, so the volume of the prism will be equal to the volume of 810 cubes i.e. 30 cubic centimeters.