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
AnnZ [28]
4 years ago
5

An eraser is in the shape of a triangular prism. Its dimensions are shown in the diagram. What is surface area of the

Mathematics
2 answers:
MArishka [77]4 years ago
7 0

Answer:

D) 6,000 square mm

Step-by-step explanation:

To find the surface area of the triangular prism, find the are of each face.

  • 40 × 30 ÷ 2 = 600 × 2 sides = 1200
  • 40 × 50 = 2000
  • 40 × 30 = 1200
  • 40 × 40 = 1600

After adding all the sides' together, you get 6,000 square mm.

Colt1911 [192]4 years ago
4 0

Answer:

6000 square millimeters

Step-by-step explanation:

Side length of the slanting side can be calculated using the Pythagorean theorem,

L = sqrt(30^2+40^2) = 50

sufrace area of a triangular prism

= surface area of the end sections + the surface area of the three side faces

= 2*(30*40/2) + 40*(30+40+50)

= 1200 + 4800

= 6000 mm^2

You might be interested in
If g(t) = 2/ (t + 3), then g (?) = 2/ (4a + 3)
marishachu [46]

Answer:

may be the answer is g(4a)

Step-by-step explanation:

g(4a) = 2/(4a +3)

't' is replaced by '4a'.

7 0
3 years ago
PLSS HELP ILL GIVE YOU A BRAINLIEST AND 30 points!
jekas [21]
A :-) 1.) Given - base = 9 cm
height ( alt ) = 12 cm
hypotenuse ( hypo ) = x
Solution -
By Pythagorus theorem
( hypo )^2 = ( base )^2 + ( alt )^2
( x )^2 = ( 9 )^2 + ( 12 ) ^2
( x )^2 = 81 + 144
( x )^2 = 225
( x ) = _/225
( x ) = 15 cm

.:. The value of x ( hypotenuse ) = 15 cm


2.) Given - base = 10 cm
Height = 24 cm
Hypotenuse = x
Solution -
By pythagorus theorem
( hypo )^2 = ( base )^2 + ( alt )^2
( x )^2 = ( 10 )^2 + ( 24 )^2
( x )^2 = 100 + 576
( x )^2 = 676
( x ) = _/676
( x ) = 26

.:. The value of x ( hypotenuse ) = 26 cm


3.) Given - base = 3 cm
Height = 7 cm
Hypotenuse = x
Solution -
By pythagorus theorem
( hypo )^2 = ( base )^2 + ( alt )^2
( x )^2 = ( 3 )^2 + ( 7 )^2
( x )^2 = 9 + 49
( x )^2 = 58
( x ) = _/58
( x ) = 7.6

.:. The value of x ( hypotenuse ) = 7.6 cm


4.) Given - base = 10 cm
Height = 6 cm
Hypotenuse = x
Solution -
By pythagorus theorem
( Hypo )^2 = ( base )^2 + ( alt )^2
( x )^2 = ( 10 )^2 + ( 6 )^2
( x )^2 = 100 + 36
( x )^2 = 136
( x ) = _/136
( x ) = 11.6

.:. The value of x ( hypotenuse ) = 11.6 cm


5.) Given - hypotenuse = 24 cm
height = 6 cm
Base = x
Solution -
By pythagorus theorem
( hypo )^2 = ( base )^2 + ( alt )^2
( 24 )^2 = ( x )^2 + ( 6 )^2
( x )^2 = ( 6 )^2 - ( 24 )^2
( x )^2 = 36 - 576
( x )^2 = -540
( x ) = _/-540
( x ) = 23.2

.:. The value of x ( base ) = 23.2 cm


6.) Given - base = 1 cm
height = 1 cm
hypotenuse = x
Solution -
By pythagorus theorem
( hypo )^2 = ( base )^2 + ( alt )^2
( x )^2 = ( 1 )^2 + ( 1 )^2
( x )^2 = 1 + 1
( x )^2 = 2
( x ) = _/2
( x ) = 1.4

.:. The value of x ( hypotenuse ) = 1.4 cm


7.) Given - hypotenuse = 21 cm
height = 8 cm
Base = x
Solution -
By pythagorus theorem
( hypo )^2 = ( base )^2 + ( alt )^2
( 21 )^2 = ( x )^2 + ( 8 )^2
441 = ( x )^2 + 64
( x )^2 = 64 - 441
( x )^2 = -377
( x ) = _/-377
( x ) = 19.4

.:. The value of x ( base ) = 19.4


8.) given - height = 24 cm
Hypotenuse = 30cm
Base = x
Solution -
By pythagorus theorem
( hypo )^2 = ( base )^2 + ( alt )^2
( 30 )^2 = ( x )^2 + ( 24 )^2
900 = ( x )^2 + 576
( x )^2 = 576 - 900
( x )^2 = -324
( x ) = _/-324
( x ) = 18

.:. The value of x ( base ) = 18 cm


9.) ( i ) lets find ‘x’
Given - base = 9 cm
height = 5 cm
hypotenuse = x
Solution -
By pythagorus theorem
( hypo )^2 = ( base )^2 + ( alt )^2
( x )^2 = ( 9 )^2 + ( 5 )^2
( x )^2 = 81 +25
( x )^2 = 106
( x ) = _/106
( x ) = 10.2

.:. The value of x ( hypotenuse )
= 10.2 cm

( ii ) lets find ‘y’
Given - base = 3 cm
height = 5 cm
Hypotenuse = y
Solution -
By pythagorus theorem
( hypo )^2 = ( base )^2 + ( alt )^2
( y )^2 = ( 3 )^2 + ( 5 )^2
( y )^2 = 9 + 25
( y )^2 = 34
( y ) = _/34
( y ) = 5.8

.:. The value of y ( hypotenuse )
= 5.8 cm

4 0
3 years ago
Jupiter has a mass of 1,898,000,000,000,000,000,000,000,000 kg . How would this number be expressed in scientific notation
Elena-2011 [213]

Answer:

1.898 × 10^27

Step-by-step explanation:

We move the decimal point to the left between 1 and 8

and that is 27 places so you multiply the number you get by 10^27

3 0
4 years ago
A) 240 cm 2<br> B) 270 cm 2<br> C) 318 cm 2 <br> D) 348 cm 2
fgiga [73]
I think the answer is D.348
7 0
4 years ago
A motorboat travels across a river at at a rate of 15 meters per second. if the river is 1,350 meters wife how long will it take
Maurinko [17]

Answer: 90 seconds

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • The point slope form of X-3Y=-27
    15·1 answer
  • lenny deposits $7,000 in an IRA. What will be the value of his investment in 3 years if the investment is earning 1.95% per year
    9·2 answers
  • Dmitri wants to cover the top and sides of this box with glass tiles that are 1 cm square.How many tiles will be need?
    13·2 answers
  • June made a design with 6 equal tiles. One tile is yellow,2 tiles are blue,and 3 tiles are purple.what fraction of the tiles are
    10·1 answer
  • Someone help me please ASAP<br><br><br> serious answers only <br><br><br> option D is 1/3
    10·1 answer
  • What is the value of x?
    11·2 answers
  • How many solutions does the system have?Explain
    10·1 answer
  • Daniel began filling an empty swimming pool at 8:30 a.M. After 5 hours, the pool contained 230 gallons of water. If the water in
    6·1 answer
  • Determine the size of triangle v show all your steps and give reasons for your statement​
    7·1 answer
  • Help me ill give yall 97 points good luck
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!