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
4vir4ik [10]
2 years ago
6

The ends of a triangular prism are right triangles with a base of 12 inches and height of 9 inches. The height of the prism is 1

1 inches what is the surface area?
Mathematics
1 answer:
Ostrovityanka [42]2 years ago
8 0

Given:

The bases of triangular prism are right triangles with a base of 12 inches and height of 9 inches.

The height of the prism is 11 inches.

To find:

The surface area of the triangular prism.

Solution:

Using the Pythagoras theorem, the hypotenuse of the bases of the triangular prism is:

Hypotenuse^2=Base^2+Height^2

Hypotenuse^2=12^2+9^2

Hypotenuse^2=144+81

Hypotenuse^2=225

Taking square root on both sides.

Hypotenuse=15

The surface after of the triangular prism contains 3 rectangles of dimensions 12 inches by 11 inches, 9 inches by 11 inches, 15 inches by 11 inches and two triangles with base 12 inches and height 9 inches.

Area of the rectangle:

Area=Length \times Width

So, the area of three rectangles are:

A_1=12 \times 11

A_1=132

A_2=9 \times 11

A_2=99

A_3=15 \times 11

A_3=165

Area of a triangle is:

Area=\dfrac{1}{2}\times base \times height

So, the area of the triangles is:

A_4=\dfrac{1}{2}\times 12 \times 9

A_4=6 \times 9

A_4=54

And, the triangles have same dimensions so their areas are equal.

A_4=A_5=54

Now,

Area=A_1+A_2+A_3+A_4+A_5

Area=132+99+165+54+54

Area=504

Therefore, the surface area of the triangular prism is 504 sq. inches.

You might be interested in
Can someone help me with this problem
aleksandr82 [10.1K]

Answer:

3/11

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Which of the following is a reason people sometimes use mean or median to misrepresent the “average” of a set of data?
PIT_PIT [208]
The answer to this question is option D(<span>In data sets with outliers, either the mean or median can be used to make the data set appear more favorable to their agenda</span>
8 0
2 years ago
Read 2 more answers
Please answer this in two minutes
BartSMP [9]

Answer: 43.25?

Step-by-step explanation:

6 0
3 years ago
The line plots show the results of a survey of 12 boys and 12 girls about how many hours they spent reading for pleasure the pre
lana66690 [7]

Answer:

The range for boys is 0-12 and the mean is 5.1

The range for girls is 2-8 and the mean is 5.3

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
The surface are of a base ball is 177 cm squared. What is the diameter of the baseball (use 3.14 for pie)
erma4kov [3.2K]

Answer:

56.37

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • Two million, four hundred and two dollars overdrawn; write this using a negative number.
    12·1 answer
  • Based on your answer to the previous question, what is the perimeter of the painting?
    5·1 answer
  • A negative number multiplied by a negative number will result in a ___ product.
    12·1 answer
  • a snowmobile manufacturer claims that the newest model is 20% lighter than the black and white of a picture of metal weighs 645
    10·1 answer
  • 7. Consider the inequality below. PART A: Select all values of x that make the inequality true. *
    7·1 answer
  • If 15% of a number is 30 and 40% of the same number is 80, find 25% of that number.
    7·1 answer
  • Find the mean of 10, 8, 10, 7,5 graphically.
    9·1 answer
  • You can buy a 6 back of Gatorade for $4.99 or you can buy 1 for $0.89. Which is
    12·2 answers
  • <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B%20-%202%20%2B%203%20%5Ctimes%206%7D%205" id="TexFormula1" title=" \frac{ - 2 + 3
    11·2 answers
  • What is the area of a triangle with vertices of (2,5),(4,-2) and (-2,0).<br> Area= square units
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!