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
balandron [24]
2 years ago
13

Is the ans i got correct?the total surface area is 33.8cm² ​

Mathematics
1 answer:
ElenaW [278]2 years ago
8 0

Given:

A prism with height 5 cm and equilateral triangular base with side 2 cm.

To find:

The total surface area of the prism.

Solution:

Area of an equilateral triangle is:

A_1=\dfrac{\sqrt{3}}{4}a^2

Where, a is the side length.

Putting a=2, we get

A_1=\dfrac{\sqrt{3}}{4}(2)^2

A_1=\dfrac{\sqrt{3}}{4}(4)

A_1=\sqrt{3}

A_1\approx \sqrt{3}

The base and top of the prism are congruent so their area must be equal.

The lateral surface area of the prism is:

LA=Ph

Where, P is the perimeter of the base and h is the height of the prism.

The lateral surface area of the prism is:

A_2=(2+2+2)5

A_2=(6)5

A_2=30

Now, the total surface area is the sum of areas of bases and lateral surface area.

A=2A_1+A_2

A=2(1.73)+30

A=3.46+30

A=33.46

Therefore, the total surface area is 33.46 cm².

You might be interested in
Chin needs more money in his net pay each month, so he plans to reduce his federal income tax deduction from 12% to 11%. His mon
matrenka [14]

Answer:

Your answer would be $2,891

Hope this help :D

Step-by-step explanation:

3 0
2 years ago
Why do the roots of a quadratic equation have the opposite sign of the factors of a quadratic equation? HELPP PLEASE ASAPP​
jenyasd209 [6]

Answer: whas the Answer?

Step-by-step explanation:

6 0
3 years ago
Jamie is looking for the rate and unit rate of the following ratio below.
bezimeni [28]

Answer: in explanation

Step-by-step explanation:

Rate is simplest form, so 3 napkins for 5 cents.

Unit rate is for 1 x value, so 1 napkin for 0,6 cents.

3 0
2 years ago
When you divide two fractions, is the quotient always smaller than the dividend?
sveta [45]
If I understand the question correctly, the answer should be A.  A fraction can really look like anything, larger numbers over smaller, or smaller over larger.  No different when you are dividing two fractions.
4 0
3 years ago
Read 2 more answers
What is the measure of angle 3, in degrees, in the figure shown?
guajiro [1.7K]

Answer:

38°

Step-by-step explanation:

The angle 1 is 63°

The angle 2 is the same of angle 1

so :

63°+79°=142°

then :

180° - 142° = 38°.

6 0
3 years ago
Read 2 more answers
Other questions:
  • IF U CAN DO ALGEBRA PLZ HELP
    13·1 answer
  • The Smiths leave Indiana at 6:00 am to travel to Georgia. They stop for 4 breaks totaling 3 hours and stop to visit some friends
    9·2 answers
  • The value of K is:
    7·1 answer
  • Suppose we want to test the claim that the majority of adults are in favor of raising the vote age to 21. Is the hypothesis test
    7·1 answer
  • Hey can someone help me with this I think I know the answer but I'm not sure​
    14·2 answers
  • A road crew can pave 2/5 km in 1 1/2 hours.how many km of road can they pave in 10 hours?
    10·1 answer
  • 9/2 as a percentage
    12·1 answer
  • Add -4 + 2\3. Please answer This is apart of my grade
    8·1 answer
  • I’m very smart. My hair is dark. I love to eat honey, insects, and bark.
    14·1 answer
  • Evaluate 4x2y + x when x = -1 and y = 7,
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!