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
Feliz [49]
3 years ago
11

Determine the total surface area of each right triangle-based prism

Mathematics
1 answer:
levacccp [35]3 years ago
8 0

Answer:

  • small prism: 630 m²
  • large prism: 2520 m²

Step-by-step explanation:

The total surface area of the prism is the sum of the base area and the lateral area. The base area is made up of two right triangles, so will be the product of the triangle leg dimensions. The lateral area is made up of three rectangles whose width is that of the prism and whose equivalent length is the perimeter of the triangle base.

For the smaller prism, the area is ...

  (20 m)(21 m) +(3 m)(20 m + 21 m + 29 m) = 420 m² +210 m² = 630 m²

The larger prism is similar, with a scale factor of 2, so its area will be 2² = 4 times that of the smaller prism:

  4×630 m² = 2520 m²

__

In summary, the total surface area of each prism is ...

  • small prism: 630 m²
  • large prism: 2520 m²
You might be interested in
Can you please tell me how to solve this?
Sedaia [141]

The answer is 142°


Explanation:

angle 1 and angle 2 form are supplementary.

m∠1 + m∠2 = 180°

38° + m∠2 = 180°

m∠2 = 180° - 38°

m∠2 = 142°


Hope it helps!

5 0
3 years ago
amortization for house costs 35,000.00 at 6.5% interest for 10 years and payments of 400.00 were paid for 36 months what is the
UNO [17]

Answer:

$26,640.22

Step-by-step explanation:

8 0
2 years ago
Given that the mean of a data set is 25, and the standard deviation is 5, what is the Z-score of 15?
Ber [7]

The answer is negative 2

5 0
3 years ago
Find the median and mode of the following data:
jekas [21]
A is 4 and b is 63 have a good day
4 0
2 years ago
Read 2 more answers
HELP PLEASEEE...Naming Your Solution When you are asked to name your solution if you have one... that means. When you have ONE s
Reptile [31]

Answer:

It means that you need to state whether there are any solutions and how many there are. For example if the equation ends up with an answer like 2=5 there is no solution because 2 does not equal 5. if the equation ends up with an answer of 0=0 there is infinitely many solutions because 0 does equal 0. if it comes out as x=9 there is one solution because x only has one answer to (keep in mind these are just examples)

Step-by-step explanation:

The order pair would be where the two lines intersect perpendicularly with each other forming a 90° angle

8 0
3 years ago
Other questions:
  • Find the cosine of the angle between the planes 4x−1y+2z=−4 and the plane 1x+1y−4z=3.
    9·1 answer
  • (a) Find the differential dy.
    7·1 answer
  • How do you divide 25kg in a ratio of 2:3:5
    15·1 answer
  • Consider this system of equations. Which equation represents the first equation written in slope-intercept form? 5 x minus 2 y =
    14·1 answer
  • What is the area of a piece of plywood that is 8 2/5 feet by 3 1/8 feet
    9·1 answer
  • Translate the figure 3 units left and 4 units down.
    15·1 answer
  • Please help meeee need ASAP
    7·1 answer
  • Complete the table below.
    10·1 answer
  • The coach took a digital photo of the new cycling team bike. She sent a 4 cm-by-6 cm photo to each team
    9·1 answer
  • Solve the function operations problem
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!