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
kkurt [141]
2 years ago
6

Find the surface area of the following figure.

Mathematics
1 answer:
fgiga [73]2 years ago
6 0

Answer:

\boxed{\textsf{\pink{ Hence the TSA of the cuboid is $\sf 32x^2$}}}.

Step-by-step explanation:

A 3D figure is given to us and we need to find the Total Surface area of the 3D figure . So ,

From the cuboid we can see that there are 5 squares in one row on the front face . And there are two rows. So the number of squares on the front face will be 5*2 = 10 .

We know the area of square as ,

\qquad\boxed{\sf Area_{(square)}= side^2}

Hence the area of 10 squares will be 10x² , where x is the side length of each square. Similarly there are 10 squares at the back . Hence their area will be 10x² .

Also there are in total 12 squares sideways 6 on each sides . So their surface area will be 12x² . Hence the total surface area in terms of side of square will be ,

\sf\implies TSA_{(cuboid)}= 10x^2+10x^2+12x^2\\\\\sf\implies\boxed{\sf TSA_{(cuboid)}= 32x^2}

Now let's find out the TSA in terms of side . So here the lenght of the cuboid is equal to the sum of one of the sides of 5 squares .

\sf\implies 5x = l \\\\\sf\implies x = \dfrac{l}{5} \\\\\qquad\qquad\underline\red{ \sf Similarly \ breadth }\\\\\sf\implies b = 3x  \\\\\sf\implies x = \dfrac{ b}{3}

\rule{200}2

Hence the TSA of cuboid in terms of lenght and breadth is :-

\sf\implies TSA_{(cuboid)}= 10x^2+10x^2+12x^2\\\\\sf\implies TSA_{(cuboid)}= 20\bigg(\dfrac{l}{5}\bigg)^2+12\bigg(\dfrac{b}{3}\bigg) \\\\\sf\implies TSA_{(cuboid)}= 20\times\dfrac{l^2}{25}+12\times \dfrac{b^2}{9}\\\\\sf\implies \boxed{\red{\sf TSA_{(cuboid)}= \dfrac{4}{5}l^2 +\dfrac{4}{3}b^2 }}

You might be interested in
Please answer correctly !!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!
Mamont248 [21]
<h2><em>If you put and label the three points in a line, you will see that RS + ST = RT. </em></h2><h2><em> </em></h2><h2><em>Then you only need to substitue with the expressions given for RS and ST to find RT. </em></h2><h2><em> </em></h2><h2><em>RT = x +1 + 2x - 2 = 3x - 1 </em></h2><h2><em> </em></h2><h2><em>Also, RT = 5x - 5 </em></h2><h2><em> </em></h2><h2><em>Then, 3x - 1 = 5x - 5 </em></h2><h2><em> </em></h2><h2><em>5x - 3x = 5 - 1 </em></h2><h2><em> </em></h2><h2><em>2x = 4 </em></h2><h2><em> </em></h2><h2><em>x = 4/2 = 2 </em></h2><h2><em> </em></h2><h2><u><em>X=2</em></u></h2>
7 0
2 years ago
Read 2 more answers
In the article, “Visual Business Intelligence”, Stephen Few claims that visualization analysis and presentation tools are import
iris [78.8K]
<span><span>D. Allow him or her to view data as an easy to understand image that might be recognized as a pattern and solved without costly data analysis.</span></span> 
8 0
3 years ago
Read 2 more answers
Which of the following expressions entered into a graphing calculator will
Tanya [424]

Answer: B (0.17, 2.33)

Step-by-step explanation:

A P E X

5 0
3 years ago
The diagonals of a rhombus are 21 m and 32 m. What is the area of the rhombus?<br> 30 POINTS
Wittaler [7]
I have included attachment below

so since a rhombus is 2 pairs of paralell sides, we can cut it into 4 triangles
we can see that we can take the bottom 2 triangles and put them on top to get a rectangle that is width 21 and height 32/2 (16=height
area of rectangle=legnth times width=16 times 21=336 m^2

answer is 336 m^2

5 0
3 years ago
I have 3 questions, 20 points each please explain your answer and show work, and PLEASE GIVE AN ACTUAL ANSWER. PLEASE ANSWER SOO
alexdok [17]

Answer:

Step-by-step explanation:

1.From the given triangle, ABC, using the proportionality theorem, we get

\frac{FA}{CA}=\frac{EF}{BC}

⇒\frac{8}{40}=\frac{5}{x}

⇒x=25ft

Thus, the height will be 25 feet.

2.  

Statement                                                   Reason

1.∠C≅∠E                                                     Given

2. ∠ABC≅∠DBE                                Vertically opposite angles

3. ΔABC is similar to ΔDBE               AA similarity rule.

5 0
3 years ago
Other questions:
  • Place value chart. explain and show what it is
    7·1 answer
  • Which function has an inverse that is also a function?
    9·2 answers
  • A point H on a segment with end points B(3,-1) and Z(12,5) partitions the segment in a 5:1 ratio. Find H. Show all work
    5·1 answer
  • Which numbers are greater than 3x10^-7
    13·1 answer
  • What is the answer to -3y=7y???????<br><br><br> What is y?
    6·2 answers
  • Thirty-three percent of all students at a high school like beef stew. Put of 300 students, 40 are selected randomly and asked wh
    15·2 answers
  • Write an equation in point-slope form for the line that passes through the point with the given slope. point: (-1, 5) and m=-4
    8·2 answers
  • I need help with my assignment​
    14·2 answers
  • Dominic is signing up for a gym membership with a one-time fee to join and then a monthly fee to remain a member. The the monthl
    6·1 answer
  • Vector v is shown in the graph.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!