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
Gennadij [26K]
3 years ago
8

What is the surface area of the right prism given below?

Mathematics
2 answers:
mihalych1998 [28]3 years ago
7 0

For this case, we have that the area of the surface of the figure shown is given by:

A_{1}: The area of the upper rectangle (inclined)

A_{2}: The area of the two triangles.

A_{3}: The area of the base of the prism

A_ {4}: The area of the rear rectangle

We apply Pythagoras to know the length of the inclined side of the rectangle:

h = \sqrt {15 ^ 2 + 8 ^ 2}\\h = \sqrt {289}\\h = 17 \ units

Thus, the A_{1} is given by:

A_ {1} = 10 * 17\\A_ {1} = 170 \ units ^ 2

We look for the area given by the triangles, knowing that the area of a triangle is \frac {1} {2} b * h, then:

A_ {2} = \frac {1} {2} b * h + \frac {1} {2} b * h\\A_ {2} = b * h\\A _{2} = 15 * 8\\A_{2} = 120 \ units ^ 2

We look for the area of the base of the prism:

A_ {3} = 10 * 15\\A_ {3} = 150 \ units ^ 2

We look for the area of the posterior rectangle:

A_ {4} = 8 * 10\\\A_ {4} = 80 \ units ^ 2

Adding we have:

A_ {t} = (170 + 120 + 150 + 80) \ units ^ 2\\A_ {t} = 520 \ units ^ 2

Answer:

520 \ units ^ 2

Sloan [31]3 years ago
3 0

Answer:

10*15= 150

150 *8= 1,200

1,200 ÷ 2 = 600.

Step-by-step explanation:


You might be interested in
How you write a inequality and then graph the answer?
Simora [160]

Answer:

To write an inequality, you need to write a number on the number line, and to graph it, you need to write another inequality and figure out what the answer is.

hope this helped.

3 0
2 years ago
How many different shades of paint did the students make
Setler79 [48]
The correct answer should be nine
3 0
3 years ago
How many squares would you shade if you have 75%?
chubhunter [2.5K]

Answer:

As many shades 75% will allow. 3/4 6/8, etc

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Which situation could the expression 1/4 ÷ 3 represent?
adoni [48]

Answer:

see the procedure

Step-by-step explanation:

The situation could be

Alice needs to divide 1/4 pound of meat into three equal parts. What is the weight of each part?

so

Divide 1/4 by 3

\frac{(1/4)}{3}=\frac{1}{12}\ pounds

The weight of each part is \frac{1}{12}\ pounds

8 0
3 years ago
Find the missing side of the triangle
Thepotemich [5.8K]

I dont know the answer lol but imma say B

4 0
3 years ago
Other questions:
  • Find the maximum value of c=4x+2y<br>2x+2y less than or equal to 10<br>3x+y less than or equal to 9
    13·1 answer
  • Use Vocabulary in Writing
    14·1 answer
  • Write an expression using fractions to show how to determine the amount that each person will pay. Then calculate each person's
    8·1 answer
  • Traders often buy foreign currency in hope of making money when the currency's value changes. For example, on a particular day,
    14·1 answer
  • How are linear equations represent in a table or graph
    11·1 answer
  • Is the sum of 10/101 n 22/44 rational or irrational?
    14·1 answer
  • What is the measure, in degrees of A?
    11·2 answers
  • Help please!! <br> Thank you !
    11·2 answers
  • For cylinders with radius 2 units, let h represent the height of the cylinder, in units, and the V represent the volume of the c
    9·2 answers
  • NEED HELP ASAP 50 POINTS 20 MINS LEFT
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!