What is the surface area of the composite solid? A rectangular prism has a length of 15 meters, width of 10 meters, and height of 25 meters. A triangular prism has a triangular base with a base of 6 meters and height of 8 meters. The prism has a height of 15 meters. 1,508 m2 1,658 m2 1,808 m2 1,958 m2
Answers
Answer:
Surface area of rectangular prism = 1550m²
Surface area of triangular prism = 498m²
Step-by-step explanation:
The surface area of a rectangular prism is given by the formula
A= 2(wl+hl+hw)
Where A = surface area
w= width
l= length
h=height
Given that the rectangular prism has a length of 15 meters, width of 10 meters, and height of 25 meters.
A= 2(10×15+25×15+25×10)
A=2(150+375+250)
A=2(775)
A=1550 square meters
Surface area of triangular prism = base of triangle x height of triangle + (length of rectangle x width of rectangle) x 3
Since we are not given length and width of the triangular prism, we could assume the triangular prism has same length and width with the rectangular prism given that it is a composite shape(more than one solid in one)
Given triangular base with a base of 6 meters and height of 8 meters.
Surface area of triangular prism= 6×8+(10×15)×3
=48+150×3
=48+450
= 498 square meters
Surface area of a solid is the 2 dimensional space its surface covers. The surface area of the considered composite solid is given by: Option B: 1658 sq. meters
How to find the surface area of a composite figure?Composite figure is figure made by composing two or more figure. The composite figure may leave a surface common as not a surface of the resultant composite figure due to it being the joining area of two figures, thus, not remaining a surface.
Thus, its surface area would sum of their surface areas - areas of those regions which are not surface anymore.
For the given case, the prisms given are having surface areas as:
Composite figure's surface area = Surface area of its composing figures - any overlapping areas
Surface area of rectangular prism = [tex]2(L.W + W.H + H.L) = 2(15 \times 10 + 10 \times 25 + 25 \times 15) = 1550[/tex] sq. meters.
Surface area of triangular prism = area of its three rectangular faces + area of its base triangles.
For the triangle ABI, Pythagoras theorem is proved to be true with angle I (internally) being right angled triangle. (As we have [tex]10^2 = 8^2 + 6^2[/tex] )
That means the area of those triangles would be base times height times half, which comes as [tex]8 \times 6 \time 1/2 = 24[/tex] sq. units.
The three faces have area as= [tex]15 \times 10 + 15 \times 6 + 15 \times 8 = 15(24) = 360[/tex] sq. meters.
The two triangle faces have area = twice of 24 = 48. surface area of triangular prism = 48 + 360 = 408Sum of area of triangular prism and rectangular prism is 1550 + 408 = 1958 sq. meters
Common area is 10 times 15, its twice is 300, so surface area of the composite figure is 1958 - 300 = 1658 sq. metersThus, the surface area of the considered composite solid is given by: Option B: 1658 sq. meters
Learn more about surface area here:
https://brainly.com/question/15096475
Related Questions
The sum of 3 consecutive even
numbers is 78.
Write the variable representation for each of
the three numbers in this sequence.
Answers
Answer:
The variable representation is x, x+2 and x+4 for this sequence.
Step-by-step explanation:
Given that:
The sum of 3 consecutive even numbers is 78.
Let,
The first even number is represented by x.
As the numbers are consecutive, thus,
First even number = x
Second even number = x+2
Third even number = x+4
Hence,
The variable representation is x, x+2 and x+4 for this sequence.
what is the length of the unknown side
Answers
Answer: ↓↓↓
Step-by-step explanation:
1. a = ? b = 16 c = 18
a² + b² = c²
a² + (16)² = (18)²
a² + 256 = 324
- 256 -256
a² = 68
√a² = √68
a ≈ 8.25
2. a = 4 b = 8 c = ?
a² + b² = c²
(4)² + (8)² = c²
16 + 64 = c²
80 = c²
√c² = √80
c ≈ 8.94
Word problem:
Sachin’s office is 11.37km away from his house. He covers 9.245km by bus and rest by walking. How much distance does he cover by walking?
(I only need the answer and how to do it ,PLS PLS PLS HELP I REALLY Need It PLS HELP
Answers
Step-by-step explanation:
=2* ( l+b )
=2* ( 11.37+9.245 )
=2* 20.595
=41.19
Plz Show workings
Due asap
Answers
(2x+10)=75
2x=75-10
X=65/2
X=32.5
for the equation 2(4x+10)=8x+k what value of k will create infineltly many solutions please help
Answers
Answer:
The value of k = 20 for equation 2(4x+10)=8x+k to have infinitely many solutions.
Step-by-step explanation:
Given the expression
[tex]2(4x+10)=8x+k[/tex]
solving
[tex]2(4x+10)=8x+k[/tex]
[tex]8x+20 = 8x+k[/tex]
We know that the equations with infinitely many solutions have the same expressions on both sides
It means the value of k can be determined by further simplifying such as
[tex]8x+20 = 8x+k[/tex]
8x+20-8x = k
20 = k
Therefore, the value of k = 20 for equation 2(4x+10)=8x+k to have infinitely many solutions.
VERIFICATION:
Given
[tex]2(4x+10)=8x+k[/tex]
[tex]8x+20 = 8x+k[/tex]
Put k = 20 in the equation
[tex]8x+20 = 8x+20[/tex]
[tex]8x+20 - 8x+20 = 0[/tex]
[tex]0 = 0[/tex]
equations with infinitely many solutions have the same expressions on both sides.
This means the statement is always true.
A submarine changed its depth by -24 feet each minute for six minutes.
What was the total change in depth at the end of the 6 minutes?
Answers
Answer:-144
Step-by-step explanation:
Can y’all please explain this to me, I know the answer but I don’t know how to get it thanks
Answers
Answer:
250 jars
6 hours
Step-by-step explanation:
We know they make 50 jars in an hour, so 50 times 5 is 250 jars in 5 hours. Since 300 is 50 more than 250, and we know 50 times 6 is 300, we can say that we would need 6 hours to make 300 jars.
Do the rates charged for life insurance remain the same throughout your life? Give some reasons why they may fluctuate or why they may remain the same.
Answers
Answer:
Yes
Step-by-step explanation:
Yes, when you purchase a life insurance policy you will be charged a certain rate but this can change if there are sudden changes in your health or as you get older. In some cases, you may purchase an insurance policy for a certain amount of years in which the rate is guaranteed to remain the same during that time. This type of policy's rate depends on the period of time you choose to be insured but once the time period is over the rate can increase a lot depending on your age and health at that time.
Which equation represents a direct linear variation?
A) 7=x+2
B) y=1/2x
C) y=1/x
D) 7=x^2
Answers
Answer:
B
Step-by-step explanation:
The equation representing direct linear variation is
y = kx ← k is the constant of variation
The only equation in this form is
y = [tex]\frac{1}{2}[/tex] x ( with k = [tex]\frac{1}{2}[/tex] )
(10, 7); 5х - бу = 18
Answers
Answer: See explanation
Step-by-step explanation:
x = 10
y = 7
5x - 6y = 18
5 (10) - 6 (7) = 18
50 - 42 = 18
8 ≠ 18
The coordinates can't be (10, 7)
I barely understood the question but I hope I helped!
Graham spent a total of $15.05 on 10 apples and a packet of strawberries. If a packet of strawberries cost $2.55, how much did each apple cost? 15.05*10 + 2.55
Answers
Answer: $1.25
Step-by-step explanation:
Given
Graham spends a total of $15.05 on 10 apples and a packet of strawberries
Cost of strawberries packet $2.55
Suppose the cost of each apple is x
So, [tex]10x+2.55=15.05[/tex]
On solving
[tex]\Rightarrow10x=15.05-2.55\\\Rightarrow10x=12.5\\\Rightarrowx=\frac{12.5}{10}=\$1.25[/tex]
The cost of each apple is $1.25
Help me please this is due tonight!
Answers
Answer:
1 and 2/3 yards of material
Step-by-step explanation:
5 times 2/6 = 10/6 = 5/3 = 1 2/3
Hope this helps!! :D
Explanation= 5 (2/6) = 10/6
I am a number between 17 and 25
I am a multiple of 3
6 is not a factor of mine
Answers
Answer: 21
Step-by-step explanation:
Possible outcomes: 18,19,20,21,22,23,24
18, 21, and 24 are multiples of 3.
18 and 24 are multiples of 6
21 is the answer
I need help or me mommy will get mad
Answers
Answer:
2 inches
Step-by-step explanation:
[tex]\frac{.25}{4} =\frac{x}{32} \\[/tex]
(0.25*32)/4=2
Answer:
2 inches
Step-by-step explanation:
please mark this answer as brainliest
plz help, I don't want to grab my grade, give it to the Undertaker, and say "Bury this." Simplify. 16777216
Answers
Answer:
16777216 = 2x
(x= 8388608)
Step-by-step explanation:
I don't what answer you're looking for but I got
16777216 = 2x
(x= 8388608)
I think you can reduce the number even more if you'd like but I believe this is correct
pls help asap write the perimeter of the figure
Answers
Answer:
Awnser C 9x + 7x
Step-by-step explanation:
the perimiter of that triangle is 16x 9x + 7x = 16x
I need help in this
Answers
Answer:
x = 4
Step-by-step explanation:
Since the rectangles are similar, use a ratio.
15/6 = 10/x
or
6/15 = x/10
I will use 15/6 = 10/x to solve this problem, but both ratios should work to solve this problem.
15/6 = 10/x
Cross Multiply:
6(10) = 15x
Solve:
60 = 15x
x = 4
Please help I really do not understand this yeah I can be weird sometimes but please help will mark the correct answers brainiest
Answers
Answer:
Step-by-step explanation:
1.0.39
2.0.33
3.Loose
4.0.14
I did the first four... hope that helps
Need help ASAP!!! I'll give brainliest to the correct answer!!
A.) 24 cm
B.) 48 cm
C.) 72 cm
D.) 36 cm
Answers
Answer: BE = 48 cm
Step-by-step explanation:
BE is twice as long as AB so to find BE just multiply 2 by 24.
2 × 24 = 48
PLZZZ HELP DUE IN HR
Answers
Step-by-step explanation:
the prime numbers are
A. 23 , C. 7
PLS HELP ME IT IS SO HARD
Answers
Answer:
180-28.4 DIVIDED BY TWO SHOULD BE THE ANSWER SO C
Jim rolls a fair dice 54 times. How many times would Jim expect to roll a number greater than 2?
Answers
Answer:
36 times
Step-by-step explanation:
54:6=9
9.2=18
54-18=36
Mrs Marcias told john that the grade for his math assignment was in the form of the expression. What is johns grade?
Answers
Answer:
Where's the expression?
Step-by-step explanation:
Answer:
The Answer is 89
Step-by-step explanation:
does anyone know how to expand 2 (x + 3)
Answers
Answer:
2(x + 3) = 2x + 6
Step-by-step explanation:
Here, we want to expand
2(x + 3)
To do this, we simply multiply the term outside the bracket with each of the terms inside it
That will be;
(2 * x ) + (2 * 3)
= 2x + 6
Consider the polynomial function g(x)=10x^9-50x^6-500x^2
What is the end behavior of the graph of g?
Answers
Answer:
It falls to the left and rises to the right.
Step-by-step explanation:
The polynomial function is given as;
g(x) =10x^(9) - 50x^(6) - 500x²
In this polynomial, the leading coefficient is 10. This is positive and also an even number and thus it means the graph will rise to the right.
Also, the degree of the polynomial is 9 since that's the highest degree of x. This degree is odd and it means the graph will point in the opposite direction to that of the leading coefficient. Thus, we can say it falls to the left.
So in summary, the end behavior of the graph of g is that it falls to the left and rises to the right.
The end behavior of the polynomial is:
When x ⇒ ∞, g(x) ⇒ ∞When x ⇒ -∞, g(x) ⇒ -∞What is the end behavior of the graph of g(x)?The first thing you need to notice is that the degree of the polynomial is odd. This means that the function will have two opposite end behaviors.
Also, the leading coefficient is positive (is 10). So, when x tends to positive infinity, the end behavior of the function will tend to positive infinity.
When x tends to negative infinity, because the exponent is odd, the outcome will also be negative. Then here the end behavior of the function will tend to negative infinity.
Concluding, we can write:
When x ⇒ ∞, g(x) ⇒ ∞When x ⇒ -∞, g(x) ⇒ -∞If you want to learn more about end behavior, you can read:
https://brainly.com/question/1365136
#SPJ2
label each graph with the correct expression , im extremely stuck
Answers
Answer:
look on the other math website rather than here its not too active here today
Step-by-step explanation:
trayvon bought 2 gallons of milk at the supermarket how many quarts of milk did he buy
Answers
Answer: He bought 8 quarts
Step-by-step explanation:
There are 4 quarts in a gallon so if you multiply 4 by 2 then you get 8,
Answer:
8 quarts
Step-by-step explanation:
1 gallon is equal to 4 quarts, so from there you just multiply 2 times 4 and you get 8 !
I only need help with 19-21. Any help is appreciated
Answers
Median of 3 7 2 4 7 5 7 1 8 8
Answers
Answer:
6
Step-by-step explanation:
1 , 2 , 3 , 4. ,5 ,7 ,7, 7, 8, 8
5+7 = 12
12 divided by 2 = 6
answer:
6
blah blah blah blah
Match the system of linear equations with the corresponding graph. Use the graph to estimate the solution.
y = x+4
y = 3x - 1
pls show a graph, theres 4 to choose from.
Answers
Answer:
The required graph is shown below.
Step-by-step explanation:
Consider the given system of linear equations.
[tex]y=x+4[/tex]
Put x=0 in the above equation.
[tex]y=0+4[/tex]
[tex]y=4[/tex]
Now, put y=0 in [tex]y=x+4[/tex].
[tex]0=x+4[/tex]
[tex]x=-4[/tex]
The coordinates are (0,4) and (-4,0). Draw the line by using the points.
Similarly,
Consider the equation [tex]y = 3x - 1[/tex]
Put x=0 in the above equation.
[tex]y=3(0)-1[/tex]
[tex]y=-1[/tex]
Now, put y=0 in [tex]y = 3x - 1[/tex].
[tex]0=3x-1[/tex]
[tex]x=\frac{1}{3}[/tex]
The coordinates are (0,-1) and ([tex]\frac{1}{3}[/tex],0). Draw the line by using the points.
The required graph is shown below.