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3 years ago

What is the volume of this rectangular prism?

Mathematics

1 answer:

Fynjy0 [20]3 years ago

7 0

Answer: V≈5.21 cm³

Step-by-step explanation:

To find the volume of a rectangular prism, you multiply the length, width and height.

$V=wlh$

Since we were given the length, width and height, we can directly multiply them together.

$V=\frac{5}{2} *\frac{5}{3} *\frac{5}{4}$ [multiply]

$V=\frac{125}{24} =5.21 cm^3$

Now, we know that the volume is approximately 5.21 cm³ or 125/24 cm³.

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There are 9 people that have a conversation with each other exactly one time.

Sedbober [7]

The question is an illustration of arithmetic sequence.

The number of conversation for 19 people is 171

(a) 9 people

$Total = \frac{9 \times 8}{2}$

9 represents the number of people

8 represents the number of conversation each person had

2 represents the number of people having a conversation at once (i.e 2 people at once)

(b) 19 people

We have:

$n = 19$

The number of conversation is:

$Total = \frac{n \times (n -1)}{2}$

So, we have:

$Total = \frac{19 \times (19 -1)}{2}$

$Total = \frac{19 \times 18}{2}$

$Total = 19 \times 9$

$Total = 171$

Hence, the number of conversation for 19 people is 171

Read more about arithmetic sequence at:

brainly.com/question/18109692

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