1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
bija089 [108]
2 years ago
13

Brainliest pls help

Mathematics
1 answer:
Airida [17]2 years ago
8 0
<h3>Volume:</h3>

With this prism, first separate it into a rectangular prism and a right triangle prism.

First, with the rectangular prism, it would have the units 5 * 5 * 6.3. Then with the right triangle prism, it would take the rest of the remaining space of it, being 3 * 5 * 6.3

The equation for the volume of a rectangular prism is L*W*H and the equation for the volume of a right triangle prism is (L*W*H) / 2.

With this, plug the numbers in for both prisms to get the volume of each of them:

<u>Rectangular prism Volume</u>

5*5*6.3

<em>157.5</em>

<u>Right triangle prism Volume</u>

(3*5*6.3) / 2

94.5 / 2

<em>47.25</em>

Lastly, combine these two values to get the total volume:

157.5 + 47.25 = 204.75 (Round Up) -->

<em><u>204.8 cm^3 = Total Volume </u></em>

<h3>Surface Area:</h3>

Next, with the surface area of the prism. For this, lets combine all of the faces of the prism then add them all up.

First, lets do the bottom of the prism, or the base. It uses the lengths 8 cm and 6.3 cm. Lets do L * W to get the area of this face:

8 * 6.3 = 50.4

Next, lets do the slant side of it, which has the lengths 5.8 and 6.3.

5.8 * 6.3 = 36.54

Then, the top side with the lengths 5cm and 6.3 cm.

5.3 * 6.3 = 33.39

After that, the left side face that opposite to the slantly one:

5 * 6.3 = 31.5

Saving the most tedious part of it for last, the right trapezoids. Luckily, there is an equation for this:

<em>1/2 x (Sum of parallel sides) x (perpendicular distance between the parallel sides).</em>

<em>So, within each of these right </em>trapezoids, there's the parallel sides of 5 and 8. There's also a perpendicular side of 5cm. With this, we can plug this into the equation to solve for this part:

1/2 x (5+8) * (5)

1/2 x (13) * (5)

1/2 x (65)

32.5

Since there's two of them, times this by 2:

32.5 * 2 ---> 65.

Now, with the area of all of the faces, these can be added up for the total surface area:

50.4 + 36.54 + 33.39 + 31.5 + 65 ---> 216.83 (Round Down)-->

<u><em>216.8 cm^2 = Total Surface Area</em></u>

<em />

You might be interested in
If f(x) = 16x-30 and g(x) = 14(x)-6 for which value of x does (f-g) (x) = 0
almond37 [142]
This is a system where (f-g)(x) is wanted.
(16x-30)-(14x-6) .... 2x-24 *be careful with signs and parenthesis placement.

Now set 2x-24 = 0 and so x = 12
6 0
3 years ago
HELP PLEASE!!
pogonyaev

Answer:

You need to have both the opposite and adjacent side of the right angled triangle. Tan = Opp/Adj

Step-by-step explanation:

Tangents are pretty much everywhere. A good example is maybe a slide at the playground. You’d need the tangent to figure out the angle of the slide and how it is.

The radius from the center of a circle to the point of tangency point shows that it would be perpendicular to the tangent line considering that anything with a radius is circular and the tangent line is… a line, making it impossible to be parallel.

3 0
2 years ago
The computer rendering of a mural in a town's square uses
rjkz [21]

Answer:

B

The highest point of the mountain defined by the function is 16 feet.

ED 2020

Step-by-step explanation:

7 0
3 years ago
I do not know this answer
Bogdan [553]

Answer:

try (-4,6)

Step-by-step explanation:

if you use tracing paper, put a mark where the point is

put the tip of the pencil on the point which it will rotate around

spin the paper by the degrees

see where the traced point ends up

4 0
2 years ago
NEED HELP PLEASE IM BEGGING YOU !!!!!<br> I NEED HELP WITH 6 AND 7 PLEASE
stepladder [879]

Answer:

6. is H

7. is B

Explanation:

the communitive property states that if: a+b=c, then b+a=c

if each ballon costs 2 dollars, that would b 2x or $2 (aka the 2) for 1 balloon (aka the x) and since he has a 10$ off coupon, you have to subtract 10$ so y=2x-10

5 0
3 years ago
Other questions:
  • What is x+ (5x-18)+90 degrees
    13·1 answer
  • Help me tell me the answers
    7·2 answers
  • The graph shows the distance, y, in miles, of a moving motorboat from an island for a certain amount of time, x, in hours:
    9·2 answers
  • Persevere in Problem Solving Find a sequence of three transformations that can be used to obtain figure D from figure A. Graph t
    11·2 answers
  • What is the distance traveled by the lunar station in one orbit?
    9·1 answer
  • If x represents the amount Rita earns each week, which expression represents the amount she earns in a year? x + 52 52 – x Start
    9·1 answer
  • Find the unknown side length, x. Write your answer in simplest radical form.
    13·1 answer
  • 3 times the difference between ten times a number and three is eighty one? Find the number
    9·1 answer
  • Mr. Baker is driving 100 miles. His average speed, to the nearest 2 miles per hour, is 56 miles per hour. What is the range of p
    13·1 answer
  • 16
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!