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
Alik [6]
3 years ago
8

What is the surface area of this prism?

Mathematics
1 answer:
Zigmanuir [339]3 years ago
7 0
Let's find the area of each shape that makes up the prism.  Let's first start with the triangles.

There are two identical triangles on both ends of the prisms. They have a height of 12 and a base 18. Let's find the area of both of the triangles.
12×18=216
216 is the area of both triangles. Each triangle has an area of 108 though.
Let's find the area of the two rectangles.

There are two identical rectangles that are 30 m by 15 m. Let's find the area of both.
30×15=450×2=900
So, the area of both rectangles together is 900.
Let's find the area of the rectangle that acts as the base in the picture.

There's only one and it's 30 m by 18 m.
30×18=540
Let's add everything together.

540+900+216
1440+216
1656

So, the surface area is 1656 m².
You might be interested in
What are the x-intercepts of the quadratic function?
maw [93]
To find the x intercept set y = 0

x^2 + x  - 2 =0 

(x+2)(x-1) = 0

x = -2 , x = 1


8 0
3 years ago
Read 2 more answers
What is the product?
hammer [34]

Answer:

3/88 is your answer

Step-by-step explanation:

4 0
2 years ago
Forces of 9 lbs and 13 lbs act at a 38º angle to each other. Find the magnitude of the resultant force and the angle that the re
fiasKO [112]

Answer: R=20.84\ lb\quad 22.57^{\circ},15.43^{\circ}

Step-by-step explanation:

Given

Two forces of 9 and 13 lbs acts 38^{\circ} angle to each other

The resultant of the two forces is given by

\Rightarrow R=\sqrt{a^2+b^2+2ab\cos \theta}

Insert the values

\Rightarrow R=\sqrt{9^2+13^2+2(9)(13)\cos 38^{\circ}}\\\Rightarrow R=\sqrt{81+169+184.394}\\\Rightarrow R=\sqrt{434.394}\\\Rightarrow R=20.84\ lb

Resultant makes an angle of

\Rightarrow \alpha=\tan^{-1}\left( \dfrac{b\sin \theta}{a+b\cos \theta}\right)\\\\\text{Considering 9 lb force along the x-axis}\\\\\Rightarrow \alpha =\tan^{-1}\left( \dfrac{13\sin 38^{\circ}}{9+13\cos 38^{\circ}}\right)\\\\\Rightarrow \alpha =\tan^{-1}(\dfrac{8}{19.244})\\\\\Rightarrow \alpha=22.57^{\circ}

So, the resultant makes an angle of 22.57^{\circ} with 9 lb force

Angle made with 13 lb force is 38^{\circ}-22.57^{\circ}=15.43^{\circ}

7 0
3 years ago
Read 2 more answers
Can someone help me plz
lukranit [14]
The answer is area= 113.05 Circumference= 37.68
8 0
3 years ago
Which could be the length?
BigorU [14]

Answer:

The possible length of the third side = 1 ft, 2 ft, 3 ft, 4 ft, 5 ft, 6 ft, 7 ft, 8 ft, 9 ft, 10 ft or 11 ft

Step-by-step explanation:

Given;

two side of the triangle, 6 ft and 6 ft

let the third side of the triangle = x

Apply the rules of length of a triangle to determine the third side of the triangle.

Based on this rule:  (6 - 6)  < x < (6 + 6)

                                    0 < x < 12 ft

Therefore, the length of the third side will be greater than 0 but less than 12 ft

The possible length of the third side = 1 ft, 2 ft, 3 ft, 4 ft, 5 ft, 6 ft, 7 ft, 8 ft, 9 ft, 10 ft or 11 ft

8 0
2 years ago
Other questions:
  • Bacteria X has a growth rate of 180 % per hour. Some amount of bacteria X are accidentally introduced into some egg salad. Three
    9·1 answer
  • A circular hedge surrounds a sculpture on a square base. The radius of the hedge is 6x. The side length of the square sculpture
    7·1 answer
  • Lorena's home is 125 meters away from the school.how many meter does she walks every day if she takes the same distance back hom
    15·2 answers
  • The following is a parallelogram solve for the variables
    12·1 answer
  • Just the image below.
    10·1 answer
  • I need help , pleaseee
    5·1 answer
  • Will mark branliest
    12·1 answer
  • Sam has a rectangular field whose length and breadth are in the ratio 8:7. He wants to fence the field with bamboo to make it an
    13·1 answer
  • Which model represents 2 . 36 ÷ 4 ?
    8·1 answer
  • Greatest common multiple of 3 and 4
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!