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
Akimi4 [234]
3 years ago
5

An 8-sided die is formed when two square pyramids are attached by their bases. The perimeter of the base shape is 6 centimeters.

The distance between the tallest points of the two pyramids is 2 centimeters. What is the surface area of the 8-sided figure?
Mathematics
2 answers:
Leona [35]3 years ago
5 0
Consider one pyramid
Side length of base = 1.5cm and its height is 1 cm
Slant height of one of the lateral faces =  sqrt(1^2 + 0.75^2) =  1.25 cm
Area of one of the triangular faces = 0.5 * 1.5* 1.25 =  0.9375 cm^2

There are 8  of these so the required surface area = 8 * 0.9375 
=  7.5 cm^2 Answer

My name is Ann [436]3 years ago
4 0

Answer:

<em>The surface area of the 8-sided figure is 7.5 cm²</em>

Step-by-step explanation:

The perimeter of the base of each square pyramid is 6 centimeters.

So, <u>each side length of the base</u>  =\frac{6}{4}= 1.5\ cm.

Two pyramids are attached by their bases and the distance between the tallest points of the two pyramids is 2 centimeters.

So, <u>the height of each pyramid</u> = 1 centimeter.

Now, <u>lateral surface area of each pyramid</u>

=2a\sqrt{\frac{a^2}{4}+h^2}

=2(1.5)\sqrt{\frac{(1.5)^2}{4}+(1)^2}\\ \\ =3\sqrt{\frac{2.25}{4}+1}\\ \\ =3\sqrt{1.5625}\\ \\ =3(1.25)=3.75\ cm^2

So, the <u>total lateral surface area of two pyramids</u>  =2(3.75)=7.5\ cm^2

Hence, the surface area of the 8-sided figure is 7.5 cm²

You might be interested in
You guys know what Sawcon is?
vagabundo [1.1K]
Yeah I know why ?????,????
6 0
3 years ago
Read 2 more answers
Find the height of a paralleogram, if its area is 84square inches, its base is 12 inches, and its height is respresented by x +
Ghella [55]
Hope you are having clear concept on this.

4 0
3 years ago
Read 2 more answers
5. Write each comparison as a rate.
stepan [7]

Answer:

5, 0.55, 2.00, 3 cm.

Step-by-step explanation:

If you're asking about the unit rates, then..

a. For 1 day, there is 5 mm of rain. 15 / 3 = 5

b. One chocolate bar costs $0.55. 2.20 / 4 = $0.55

c. $14.00 / 7 = 2.00 Indu saves $2.00 for one day.

d. 12 / 4 = 3 cm. For one month, philip grew 3 cm.

I hope this helped :)

4 0
3 years ago
Q)on a book case there are 35 science books ,28 history books,10 cook books,and 10 mystery novel .how many books are on the book
Finger [1]

Answer:

83

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
If y varies directly with x and y is 18 when x is 6, which of the following represents this situation?
Zolol [24]
Y=18
x=6

following since they vary directly it would be in
y=mx form

18=m(6)
6*3=18

your answer is y=3x
8 0
3 years ago
Other questions:
  • Y/6-3=-11<br> What does y equal?
    10·2 answers
  • Please please help .. Really need answer asap please and thank you
    14·1 answer
  • according the the american hotel and motel association, women are expected to account for half of all business travelers by the
    6·1 answer
  • Chloe wants to wrap a present in a box for sarah. The top and bottom of the box is 8in by 3in, the sides are both 3in by 2in and
    13·2 answers
  • HELP??
    5·2 answers
  • 4. What is the area of a square with side lengths of 3/5 units?
    11·1 answer
  • A businessman bought three machines at rs 5400 each and spent 4000 on rearing and sold the machines for Rs Rs 7000 each, how muc
    13·1 answer
  • Plzzz I need help this is due today at midnight I have 30 min left plzzz help you will earn 50 points plzz help quick Loan Term
    12·1 answer
  • Ok i need yall help please <br> 15=x+23-2x
    6·1 answer
  • Andrés, in his shop, stores the buttons in bags. In box A, he has bags of 24 buttons each with no buttons left. In box B, he has
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!