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
dolphi86 [110]
3 years ago
13

HELP ME WITH MY MATH PLZ

Mathematics
1 answer:
Anna11 [10]3 years ago
3 0

Break down the figure into a cuboid and a triangle.

You have a cuboid with:

Height: 7cm

Length: 8cm

Width: 6cm

H x L = (7cmx8cm) = 56 cm^2

since there are 2 sides equal to each other (front and back) we add another 56 cm^2

Now calculate a side:

L x W = (8cmx6cm) = 48 cm^2

again, there are 2 sides equal to each other (top and bottom) we add another 48 cm^2

Finally, we calculate:

H x W = (7cmx6cm) = 42 cm^2

again, there are 2 sides equal to each other (right and left) we add another 42 cm^2

We add all up:

56 cm^2

56 cm^2

48 cm^2

48 cm^2

42 cm^2

42 cm^2

------------------

SA: 292 cm^2  (This is the surface area of the cuboid)

Now we have to calculate the surface area of the triangle prism, but first we have to break it down into 2 triangles to make it easier; since they're equal in measure, their sides are equal too:

T1:

A (Height) = 7 cm

B (Base) = 6 cm

C (Hypotenuse) = 9 cm

Formula: A = 1/2 bh

A = 1/2 (6cm)(7cm)

A = 1/2 (42cm^2)

A = 21 cm^2

Therefore, you have 2 triangles with SA: 21 cm^2 each

We're not done yet.

Now calculate the bottom of the figure in the middle of the triangles. This is a rectangle and we can use the rectangle surface area formula to calculate it. We can do this by multiplying one side by the other:

Base = 6cm

Height = 6cm

B x H = (6cmx6cm) = 36 cm^2

There's another rectangle in the back of the triangles which is collided with the cuboid, this has the following mesuarements:

Base = 6cm

Height = 7cm

B x H = (6cmx7cm) = 42 cm^2

We have one last rectangle which is the one in the front in a slope. We simply do the same:

Base = 6cm

Height = 9cm

B x H = (6cmx9cm) = 56 cm^2

To calculate the surface area of the prism, add all up:

21 cm^2

21 cm^2

36 cm^2

42 cm^2

56 cm^2

-----------------

SA: 176 cm^2 (This is the surface area of the triangle prism)

The answer to your question "Find the surface area of the composite figure" is to simply add both surface areas up:

Cuboid SA: 292 cm^2

Triangle prism SA: 176 cm^2

----------------------------------------

Composite figure SA: 468 cm^2

Hope this helps, I spent half an hour on this haha.

You might be interested in
Guys i rlly need u to look up these nams!!
zvonat [6]

Answer:

Ok I will

Step-by-step explanation:

Mark as Brainliest :)

pig- sus

pine tree- pinus

4 0
3 years ago
Solve the following equation for a. Be sure to take into account whether a letter is
Zina [86]

Answer:

a = \frac{r-q}{g}

Step-by-step explanation:

Given

ga + q = r ( subtract q from both sides )

ga = r - q ( isolate a by dividing both sides by g )

a = \frac{r-q}{g}

5 0
2 years ago
Help me please! Literally don’t understand the question.
andrey2020 [161]
I think it's d hope it helps

6 0
3 years ago
Read 2 more answers
Divide the following polynomials using the long division model (4x ^ 4 - 5x ^ 3 + 2x ^ 2 - x + 5) + (x ^ 2 + x + 1)
densk [106]

Answer:

The ramainder is equal -86

Step-by-step explanation:

Since the polynomial degree Q(x) is 1, the remainder of the division must be a number. Therefore we only need to calculate the value of polynomial for x = -2

5 0
3 years ago
if you were to solve the following system by substitution, what would be the best variable to solve for and from what equation?
Romashka-Z-Leto [24]

Answer:

see below

Step-by-step explanation:

2x+8y=12 3x-8y=11

If we have to solve by substitution, Take the first equation and divide by 2

2x/2 + 8y/2 =12/2

x+4y = 6

Then subtract 4y from each side

x = 6 -4y

Then substitute this into the second equation

This is best solved by elimination

2x+8y=12

3x-8y=11

----------------

5x = 36

x = 36/5

6 0
3 years ago
Other questions:
  • A balloon rises to the ceiling of a gymnasium. You want to find the distance from
    14·1 answer
  • What is the median? What does this value mean?
    7·2 answers
  • What is 3.25 reapting 5 as a fraction
    11·1 answer
  • Need help will mark brainliest for the right answer!
    5·1 answer
  • You roll a standard number die. What is the probability of rolling a number less than 5?
    15·2 answers
  • (PLEASE HELP WILL GIVE BRAINLIEST)
    8·2 answers
  • Brian flips two coins. How many are in the sample space for flipping two coins?
    6·1 answer
  • Please show process I WILL GIVE BRAINLY
    11·1 answer
  • Simplify 4.510.<br> a 4.51<br><br><br> b 1
    12·2 answers
  • What is the value of x?<br> A<br> 160°<br> 95"<br> A. 359<br> B. 60°<br> C. 155°<br> D. 250
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!