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
Scientists say we should sleep 3/8 of a day.How about many hours is this
meriva
9 hours because 8 x 3 = 24 and 3 x 3 = 9
7 0
2 years ago
Help! I really need to pass!
Dmitriy789 [7]

Answer:

\huge{ \boxed{ \bold{ \sf{y =  - 2x + 6}}}}

☥ \tt{Question} :

  • Write the equation of a line in slope - intercept form that has a slope of -2 and passes through the point ( - 1 , 8 ).

☥ \tt{Step  -  \: by \:  -  \: step \: explanation}

☪ \underline{ \underline{ \text{Given : }}}

  • Slope ( m ) = -2
  • Given point = ( - 1 , 8 )

☪ \underline {\underline{ \text{To \: find}}} :

  • Equation of a line in slope - intercept form ( i.e y = mx + c )

Let the point ( -1 , 8 ) be ( x₁ , y₁ )

☪ \underline{ \underline{ \text{Solution}}} :

\underline{ \sf{y - y1 = m(x - x1)}}

plug the known values :

↦ \text{y - 8 =  - 2 \{ x - ( - 1) \} }

↦ \text{y - 8 =  - 2(x + 1)}

Distribute -2 through the parentheses :

↦ \text{y - 8 =  - 2x - 2}

Transpose 8 to right hand side and change it's sign

↦ \text{y =  - 2x - 2 + 8}

↦ \boxed{ \text{y =  - 2x + 6}}

And we're done !

Hope I helped!

♡ Have a wonderful day / night ツ

~TheAnimeGirl ♪

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

4 0
3 years ago
Read 2 more answers
What is the best estimate for the product of 289 and 7
navik [9.2K]
The answer is 296 hope it helps
5 0
3 years ago
AM MARKING BRAINIEST!!!
xxMikexx [17]

Answer:

1.25

Step-by-step explanation:

3.75 divided by 3 = 1.25

5 0
3 years ago
Read 2 more answers
Jill’s room is 12 feet long and 10 feet wide. she made a scale drawing of the room with a scale of 0.5 inches = 2 feet. what is
umka21 [38]
12/2=6.
6X0.5=3
so the scale drawing is 3 inches long
10/2=5
5X0.5=2.5
so the width of the scale drawing is 2.5 inches
3+3+2.5+2.5=11
3 0
3 years ago
Other questions:
  • Can eat 10 cookies every 4 hours. How many hours would it take for her to eat 67 cookies?​
    12·1 answer
  • Please helppp (had to have 20 words haha)
    9·1 answer
  • The system shown has _____ solution(s).
    8·2 answers
  • PLEASE HELP ME IN MATH
    13·1 answer
  • Solve the inequality. 9n ≤ –27
    9·1 answer
  • Can I get some help on 56,60,70, and 78 please
    7·1 answer
  • What points satisfy 2x-6y=12 (i need 3)
    15·1 answer
  • Which is the slope of a line that contains A (3,4) and B (2,2)
    7·2 answers
  • What is the circumference of a circle with a diameter of 11 cm?
    9·2 answers
  • Simplify the following
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!