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
djyliett [7]
3 years ago
9

WILL GIVE BRAINLIEST!!!A candy bar box is in the shape of a triangular prism. The volume of the box is 2,400 cubic centimeters.

A triangular prism is shown with base of triangle labeled 16 cm, sides of triangles labeled 17 cm, and length of the box equal to 20 cm. Part A: What is the height of the base? Show your work. (5 points) Part B: What is the approximate amount of cardboard used to make the candy box? Explain how you got your answer.
Mathematics
1 answer:
AlekseyPX3 years ago
8 0

Answer:

  A: 15 cm

  B: 1120 cm²

Step-by-step explanation:

<u>Part A</u>: The triangle is isosceles, so its altitude bisects the base, giving two right triangles with hypotenuse 17 and leg 8. Then the other leg can be found from the Pythagorean theorem:

  h² +8² = 17²

  h = √(289 -65) = 15

The height of the base is 15 cm.

__

<u>Part B</u>: The total surface area of the prism is the sum of the lateral area and the areas of the triangular bases.

  Base area = (1/2)(b)(h) = (1/2)(8 cm)(15 cm) = 60 cm²

The lateral area is the product of the perimeter of the base and the length of the prism:

  LA = PL = (17 cm +17 cm +16 cm)(20 cm) = 1000 cm²

So, the total surface area of the box is ...

  2(base area) + lateral area = 2(60 cm²) +1000 cm² = 1120 cm²

The box uses about 1120 cm² of cardboard.

You might be interested in
Given the range {2, 3, 9}, what is the domain for the relation y = x + 3?
balandron [24]
A function is a relation<span> (so, it is the set of ordered pairs) that does not contain two. The </span>domain is<span> the set </span>X= {1,2,3<span>,4} and the range is the subset {a,b,c} of </span>Y<span>.</span>
6 0
3 years ago
The sum of 3 consecutive odd numbers is 183 ?
irina [24]

Answer:

The answer is 61.

Step-by-step explanation:

Let, the numbers are: x, (x+2), (x+4)

Now, x+x+2+x+4 = 183

3x + 6 = 183

3x = 177

x = 59

So, second number would be: (x+2) = (59+2) = 61

6 0
2 years ago
Read 2 more answers
5. Which equation is true when the value of x is -2<br> Helppppp
DENIUS [597]

Answer:

B

Step-by-step explanation:

because 4(x+3)=6x+16 is true

4(-2+3)=6(-2)+16

4(1)= -12+16

4=4

so the equation is true

hope it helped

4 0
3 years ago
Answer choices <br>• (2⅓)<br>• (1⅔)<br>• (9,-6) <br>•(1⁴/³)​
Marianna [84]

                                    303.875303.875303.875303.875303.875303.875303.875

3 0
3 years ago
Jackson bought 3 pounds of candies for $9.75. c What was the price of these candies in cents per ounce?
Vladimir79 [104]
Jackson bought 3*16 = 48 ounces for 975 cents. The unit price in cents per ounce is ...
   975 cents/(48 oz) = 20.3125 cents/oz
7 0
3 years ago
Read 2 more answers
Other questions:
  • Cot x sec^4 x=cot x + 2tan x + tan^3 x
    5·1 answer
  • Find the volume of a cylinder that has a radius of 2 kilometers and a height of 1 kilometer. Volume = km³ (Use 3.14 for pi and r
    13·1 answer
  • Barbie s passbook savings account started out with $12000 as last month's balance. Since then, she has made two deposits of $25.
    9·2 answers
  • 16 is divided by the sum of a number q and 1. The result is 4. What is the number?
    8·1 answer
  • Jamie rolls a pair of six sided number cubes .what is the probability that the sum of the numbers on the number cubes is either
    7·2 answers
  • In triangle ABC, the length of side AB 13 inches and the length of side BC is 21 inches. Which of the following could be the len
    9·1 answer
  • n △ABC points M and Q are points on the sides AB and BC respectively, so that AM=2MB and BQ=QC. Find area of quadrilateral MBQP
    14·2 answers
  • What is area?
    13·2 answers
  • G(x)=3x+7 table function
    12·1 answer
  • we laid out strands of lights to decorate the school each strand was 12 feet long how many strands did we need if we needed at l
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!