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MariettaO [177]
2 years ago
13

Find the total surface area of this cuboid

Mathematics
1 answer:
Harman [31]2 years ago
4 0

Step-by-step explanation:

☄ \underline{ \underline{ \sf{Given}}}:

  • Length ( l ) = 4 cm
  • Width ( w ) = 2 cm
  • Height ( h ) = 5 cm

☄ \underline{ \underline{ \sf{To \: find}}} :

  • Total surface area of a cuboid

❅\underline{ \underline{ \text{Solution}}}:

✑ \boxed{ \text{TSA = 2lw + 2lh + 2hw}}

Plug the known values :

⟼ \sf{2 \times 4 \times 2 + 2 \times 4 \times 5 + 2 \times 5 \times 2}

⟼ \sf{16 + 40 + 20}

⟼ \boxed{\sf{76 \:  {cm}}^{2} }

\red{ \boxed{ \boxed{ \tt{⟿ \: Our \: final \: answer : 76 \:  {cm}}^{2} }}}

Hope I helped !♡

Have a wonderful day / night ! ツ

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

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Rina8888 [55]

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<h2><em>hope</em><em> it</em><em> helps</em></h2>

7 0
2 years ago
What is the value of x:
notsponge [240]

Answer:

100

Step-by-step explanation:

In a 45-45-90 triangle, the hypotenuse is always larger than either of the legs by a factor of \sqrt{2}. x is therefore:

100\sqrt{2}\div \sqrt{2}=100

Hope this helps!

6 0
3 years ago
Help anyone can help me do 16 and 17 question,I will mark brainlest.The no 16 question is find the area of the shaded region​
yanalaym [24]

Answer:

Question 16 = 22

Question 17 = 20 cm²

Step-by-step explanation:

<u>Concepts:</u>

Area of Square = s²

  • s = side

Area of Triangle = bh/2

  • b = base
  • h = height

Diagonals of the square are congruent and bisect each other, which forms a right angle with 90°

Segment addition postulate states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.

<u>Solve:</u>

Question # 16

<em>Step One: Find the total area of two squares</em>

Large square: 5 × 5 = 25

Small square: 2 × 2 = 4

25 + 4 = 29

<em>Step Two: Find the area of the blank triangle</em>

b = 5 + 2 = 7

h = 2

A = bh / 2

A = (7) (2) / 2

A = 14 / 2

A = 7

<em>Step Three: Subtract the area of the blank triangle from the total area</em>

Total area = 29

Area of Square = 7

29 - 7 = 22

-----------------------------------------------------------

Question # 17

<em>Step One: Find the length of PT</em>

Given:

  • PR = 4 cm
  • RT = 6 cm

PT = PR + RT [Segment addition postulate]

PT = (4) + (6)

PT = 10 cm

<em>Step Two: Find the length of S to PT perpendicularly</em>

According to the diagonal are perpendicular to each other and congruent. Therefore, the length of S to PT perpendicularly is half of the diagonal

Length of Diagonal = 4 cm

4 ÷ 2 = 2 cm

<em>Step Three: Find the area of ΔPST</em>

b = PT = 10 cm

h = S to PT = 2 cm

A = bh / 2

A = (10)(2) / 2

A = 20 / 2

A = 10 cm²

<em>Step Four: Find the length of Q to PT perpendicularly</em>

Similar to step two, Q is the endpoint of one diagonal, and by definition, diagonals are perpendicular and congruent with each other. Therefore, the length of Q to PT perpendicularly is half of the diagonal.

Length of Diagonal = 4 cm

4 ÷ 2 = 2 cm

<em>Step Five: Find the area of ΔPQT</em>

b = PT = 10 cm

h = Q to PT = 2 cm

A = bh / 2

A = (10)(2) / 2

A = 20 / 2

A = 10 cm²

<em>Step Six: Combine area of two triangles to find the total area</em>

Area of ΔPST = 10 cm²

Area of ΔPQT = 10 cm²

10 + 10 = 20 cm²

Hope this helps!! :)

Please let me know if you have any questions

6 0
2 years ago
PLZ!!! HELP!!!!!<br><br> What is the slope
pentagon [3]

Answer:

zero slope

Step-by-step explanation:

horizontal lines are zero slope because they are not slanted (slope)

this is a horizontal line.

4 0
3 years ago
Can someone help me with with my home work i have 45 questions
Shalnov [3]
The answer on the picture is right
3 0
3 years ago
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