Pls someone help me with part b and their is 5.6 acres

A prism with a base area of 8 cm² and a height of 6 cm is dilated by a factor of 54 . What is the volume of the dilated prism? E

Aliun [14]

Question:

A prism with a base area of 8 cm² and a height of 6 cm is dilated by a factor of 5/4 .

What is the volume of the dilated prism?

Enter your answer, as a decimal, in the box.

Answer:

The volume of the dilated prism is $93.75 \ {cm}^{3}$

Explanation:

A prism with a base area of 8 cm² and a height of 6 cm

The volume of the prism can be determined by the formula, $V=Bh$

Volume of the prism is given by

$V=Bh$

$V=(8)(6)$

$V=46\ cm^3$

Thus, the volume of the prism is $46 \ {cm}^{3}$

It is also given that the volume of the dilated prism is dilated by a factor of $\frac{5}{4}$

Hence, the new volume is given by

$Volume = 48(\frac{5}{4} )^3$

$=48(\frac{125}{64} )$

$=48(1.953125)$

$=93.75 \ {cm}^{3}$

Thus, the volume of the dilated prism is $93.75 \ {cm}^{3}$

3 0

3 years ago

If i get paid 7$ plus 15% how much is that

Fynjy0 [20]

You will get paid $7.15

6 0

3 years ago

Learn with an example

malfutka [58]

Answer:

200

Step-by-step explanation:

1. 4 times 5 because there are 5 types in total and they make 4 of each type in each batch they bake. 4*5 is 20.

2. 20 times 10 because they make 10 batches and you know there are 20 in each batch. so 20 times 10 is 200.

200 is the answer.

4 0

3 years ago

V\Researchers periodically survey a few thousand of the patients taking a certain medication in order to make connections betwee

yanalaym [24]

Answer:

The correct answer is - an observational study.

Step-by-step explanation:

It is given that, Researchers periodically survey a few thousand of the patients. These are taking specific medicine patients and researchers taking this survey to find the connection between that medication and the subjects' general health.

So, it can say that the researchers observed the patient's health by the effect of the medication, therefore, the Observational Study is the given method of gathering data.

6 0

3 years ago

Hiii dont mind the answer that i put but im not sure if im right, can someone please help me?

AVprozaik [17]

Answer:

Option 4

Step-by-step explanation:

The volume of a cylinder is going to be the area of the base (which is a circle) times the height. if you have cylindrical mug, then you can use the base area×height relationship, but it won't be exact because some of the volume is going to be used for the walls of the mug itself.

Anyways:

Volume = Base Area × Height

•Base Area -> Circle = π×radius²

•Height is given as 7in.

Volume = π×(6.2in)² × 7in = 845.33975...

Volume is in units cubed (the 3rd power) which is where the in³ is from. Your closest option here looks to be the 4th choice.

3 0

3 years ago