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

Mathematics

1 answer:

MatroZZZ [7]3 years ago

4 0

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.

You might be interested in

Determine the values of n

N76 [4]

<h2>Answer:</h2><h3>b. n is odd</h3><h2>Step-by-step explanation:</h2>

In this problem, we assume that $n$ is a whole number. The definition of inverse functions tells us that a function $f$ has an inverse function if and only if the function is one-to-one, that is, if there is no any horizontal line intersecting the graph of $f$ at more than one point. This only happens if $n$ is odd. This is called the Horizontal Line Test for Inverse Functions. So let's take two examples: