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
nignag [31]
3 years ago
13

Craign has a building block in the shape of a rectangular pyramid .A net of which is shown below.If a measures 12 cm b measures

6 cm and d measures 13 cm what is the surface area of the rectangular pyramid
Mathematics
1 answer:
svetoff [14.1K]3 years ago
7 0

Answer:

<h3>Option  D) 294 sq cm is correct</h3><h3>∴ the surface area of the rectangular pyramid is 294 sq cm</h3>

Step-by-step explanation:

First we have to split the net into 4 triangles and 1 rectangle

Given a = 12 cm ,b =  6 cm and d = 13 cm

<h3>To find the surface area of the rectangular pyramid:</h3>

Now find the area of the rectangle base

Rectangle base area=b\times a

= 6\times 12

= 72 sq. cm

<h3>∴ Rectangle base area=72 sq cm</h3>

Now to find the area of the triangle on the left

Left triangle=\frac{1}{2}(b)(d)

=\frac{1}{2}(6)(13)

= 39 sq cm

<h3>∴ Left triangle=39 sq cm</h3>

Since all the triangles are congruent , you will need to multiply by 2 to get the combined area of the triangle on the left and on the right.

Area of left and right triangles= 2(39)

=78 sq cm

<h3>∴ Area of left and right triangles=78 sq cm</h3>

Find the area of the triangle on the bottom

Bottom triangle area=\frac{1}{2}(a)(a)

=\frac{1}{2}(12)(12)

= 72 sq cm

<h3>∴ Bottom triangle area=72 sq cm</h3>

Since the bottom of the triangle is congruent to the top triangle, multiply that by 2 to get a combined area of the triangle on the bottom and top

Area of top & bottom triangles=2 (72)

= 144 sq cm

<h3>∴ Area of top & bottom triangles= 144 sq cm</h3>

Finally add the area of the 4 triangles to the area of the rectangular base we get

=72 + 78 + 144

= 294 sq cm

<h3>∴ the surface area of the rectangular pyramid is 294 sq cm</h3><h3>∴ option D) 294 sq cm is correct.</h3>
You might be interested in
Is t = 9 a solution to the inequality below?<br><br> 8&gt;t<br><br> Yes or no?
Ede4ka [16]

Answer:

no

Step-by-step explanation:

8 is not grater than 9 so it would be 7 6 5 4 3 2 0r 1

6 0
3 years ago
Given f(x)=3/x and g(x)=x^2-5 find f(g(x))​
Alekssandra [29.7K]

To perform the composition, we need to substitute g(x) for x in f(x).

f(g(x)) = 3/(x^2 - 5)

5 0
3 years ago
Stan earns $12 per hour by working as an intern at a law firm. How much money does he earn in a week in which he works 28 hours?
zysi [14]
12$ x 28 = 336$
stan makes 336$ a week!
7 0
3 years ago
Why is surface area measured in square units?
MA_775_DIABLO [31]

Answer: I think it's because most things were made as square units.

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Ten members of a wedding party are lining up in a row for a photograph. How many ways are there to line up the ten people? How m
svp [43]

Answer:

(a) 10!

(b) 9!

(c) 2!9!

Step-by-step explanation:

(a)

Total number of members = 10

We need to line up the ten people.

Total number of ways to arrange n terms is n!. Similarly, total number of ways to line up the ten people is

\text{Total ways} =10!

Therefore the total number of ways to line up the ten people is 10!.

(b)

Let groom is immediate left of the bride it means both will sit together. So we need to arrange peoples for total 9 places (8 of others and 1 of bride and groom).

\text{Total ways} =9!1!1!=9!

Therefore the number of ways to line up the ten people if the groom must be to the immediate left of the bride in the photo is 9!.

(c)

Let groom is immediate left of the bride it means both will sit together. So we need to arrange peoples for total 9 places (8 of others and 1 of bride and groom).

Bride and groom can interchange there sits.

Total number of ways to arrange bride and groom = 2!

\text{Total ways} =9!2!

Therefore the number of ways to line up the ten people if the groom must be next to the bride (either on her left to right side) is 9!2!.

3 0
3 years ago
Read 2 more answers
Other questions:
  • Janet has read 17 of the 20 books she borrowed from the library. What percentage of the books she borrowed has she read?
    5·1 answer
  • If I traveled 2269 miles for $328.00 in gas how many miles per gallon
    9·1 answer
  • Ok so I need a date for prom I'm not trying to be wierd lol but ya,​
    7·2 answers
  • What is 12 less than 18
    5·2 answers
  • Afire hydrant that is 2 3/4 feet tall casts a shadow that 2 feet long. Find the length of the shadow cast by a nearby 154-foot t
    6·1 answer
  • Using the translation (x,y) --&gt; (x+1,y-3), what is the image of A (-1,7)
    12·2 answers
  • How is estimating quotients different from estimating products?
    14·1 answer
  • Ali, Ben and Clare each played a game. Clare's score was seven times Ali's score. Ben's score was half of Clare's score. Write d
    5·1 answer
  • Equivalent equation of 3(x+6)=4x+7
    13·2 answers
  • Please help multiple choice !!
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!