katrinadoughty9356
22.04.2020 •
Mathematics
A triangular prism has base edges 3 cm, 5 cm, and 7 cm long. Its lateral area is 285 cm? What is the height of the prism?
Solved
Show answers
More tips
- H Health and Medicine Sunstroke: Causes, Symptoms, and Precautions...
- F Family and Home Do You Really Need a Playpen for Your Child?...
- F Food and Cooking Do Aphrodisiacs Really Work? Separating Fact from Fiction...
- C Computers and Internet Log-in: what is it and why do you need it?...
- S Style and Beauty Secrets of Tying a Pareo: 5 Ways...
- F Food and Cooking Everything You Need to Know About Pasta...
- C Computers and Internet How to Choose a Monitor?...
- H Horoscopes, Magic, Divination Where Did Tarot Cards Come From?...
Answers on questions: Mathematics
- M Mathematics Will make brain list Which inequalities have the solution set graphed on the number line? Check all that apply. X -1.5 x -1.5 -1.5 sx O -1.5 x Ox -2.5 O x -2.5 0 -2.5 x...
- M Mathematics Does anyone know the answer??...
- M Mathematics How do you write 86.2 in scientific notation? x 10 Submit...
- M Mathematics I need some help please ☹️...
- M Mathematics Any fems tryna talk lgbt...
- M Mathematics List four guidelines for selecting ski boots that fit properly....
- M Mathematics Will give brainliest...
- M Mathematics 14) You roll a fair six-sided die. The die shows a one or a three A) Mutually exclusive; 0.667 B) Not mutually exclusive; 7 -0.778 C) Not mutually exclusive; 20.667 D) Mutually...
- M Mathematics 4 students are going on a trip you student needs at least $2,000 for the trip. Each student writes an inequality that can be used to determine the number of weeks, x, that...
- M Mathematics What is the difference between dark matter and dark energy (pls explain in simple terms)...
Ответ:
The height is 24 centimeters
Step-by-step explanation:
The perimeter of the triangle base is P = a+b+c = 4+6+7 = 17 cm long.
The lateral surface area (abbreviated LSA) of any prism can be found using this formula
LSA = P*h
where P is the perimeter along the base and h is the height of the prism.
We're given the lateral area of 408, so LSA = 408.
Let's use that LSA value, along with P = 17 as well to solve for h.
LSA = P*h
408 = 17*h
408/17 = 17*h/17
24 = h
h = 24
Ответ:
bl me as brainlest