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
BaLLatris [955]
3 years ago
13

1. 6 cm 6 cm Find the surface area of the cube. Surface Area = [?] cm² 6 cm

Mathematics
2 answers:
alekssr [168]3 years ago
5 0
<h3>Part I: Recalling the surface area formula</h3>

The surface area of a 3D figure is the sum of the area of its faces.

<u>We know the following:</u>

  1. As this shape is a cube, all faces of a cube must be a square.
  2. The area of a square is known as (side)².
  3. All faces in a cube must have the same area
  4. There are 6 faces in a cube

Since all faces in a cube have the same area, the surface area of a cube is:

\boxed{(\text{side})^{2}  + (\text{side})^{2}  + (\text{side})^{2}  + (\text{side})^{2}  + (\text{side})^{2}  + (\text{side})x^{2}  = 6(\text{side})^{2}}

Therefore, the surface area of a cube must be known as 6(side)².

<h3>Part II: Determining the surface area of the cube</h3>

{\text{Given side length of cube:} \ |\text{6 centimeters}|

Substitute the side length in the surface area formula and simplify:

\implies 6(6)^{2}

\implies 6(6)(6)

\implies \boxed{216 \ \text{cm}^{2}}

Therefore, the surface area of the cube is 216 cm².

\overline{===============================================}

Learn more about surface areas of cubes: brainly.com/question/26941141

Mariulka [41]3 years ago
4 0

Answer:

The <em>surface area</em> of the cube is equal to 216 cm².

General Formulas and Concepts:
<u>Geometry</u>

Surface Area Formula [Cube]:
\displaystyle \text{SA} = 6a^2

  • <em>a</em> is a side length

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify given variables</em>.

<em>a</em> = 6 cm

<u>Step 2: Find Surface Area</u>

  1. [Surface Area Formula - Cube] Substitute in <em>a</em>:
    \displaystyle \text{SA} = 6(6 \ \text{cm})^2
  2. Evaluate:
    \displaystyle \text{SA} = \boxed{216 \ \text{cm}^2}

∴ we have found the surface area of the cube to be 216 cm².

---

Topic: Geometry

You might be interested in
Can someone help out ??
kupik [55]

Answer:

120 cubes

Step-by-step explanation:

Find the volume of the prism and then divide it by the volume of one cube (which is 1/27 cm):

V = length*width*height = (5/3 cm)(4/3 cm)(2 cm) = 40/9 cm³.

Dividing this result by 1/27 yields

40       27         40*3    

------ * ------ = -------------- = 120

  9        1               1

120 cubes (answer)

7 0
3 years ago
Luis purchased 24 purple plants and 8 pink plants. He wants to plant them in equal groups in hos garden. What is the largest num
luda_lava [24]

Answer:

8 groups.

Step-by-step explanation:

We are told that Luis purchased 24 purple plants and 8 pink plants. He wants to plant them in equal groups in his garden. We are asked to find out largest number of groups he can make.

To solve this problem we will find GCF of 24 and 8.

Factors of 24 are: 1,2,3,4,6,8,12 and 24.

Factors of 8 are 1,2,4 and 8.

We can see that greatest common factor of 24 and 8 is 8.

Therefore, Luis can make 8 groups each having 3 purple plants and 1 pink plant.  

6 0
3 years ago
Asap help please on this question thanks
Rina8888 [55]
90-30=60 Hoped this helped
3 0
3 years ago
Rational number, integer -5 What is the fraction?
Pavlova-9 [17]

Answer:

<h2>The answer would be negative five over one or -5/1 </h2>

8 0
3 years ago
Can anyone pls help me?? thank you &lt;3
aleksklad [387]
Well if you take the thing a multiple of your time you need me and I the thing is that you don’t have to go to sleep so you don’t have to go to sleep so you don’t have to go get there are new only fans the
4 0
3 years ago
Other questions:
  • Round 961 to one significant figure
    6·1 answer
  • What is this supposed to be bro pls help
    7·1 answer
  • A sampling plan states that if 20 incoming bolts are checked and 2 or less defective bolts are discovered, the lot will be rejec
    15·1 answer
  • Chissy had 4 gallons of gas in her tank when she arrived at the gas station. She pumped gas into her car at a rate of 3/10 gallo
    12·1 answer
  • Plz Help, and solve. Show your work. I will give Brainliest. A - 7 = -13 solve and show your work 10X - 8 = 9X + 8 Can a right t
    13·2 answers
  • The Witches coven are making a potion and Ethel, Glinda, Locasta and Circe each add a different ingredient. When the potion is f
    10·1 answer
  • Solve.<br><br> 3 + j / 11 = 2<br><br><br> j =__________
    14·2 answers
  • WILL MARK BRANLIEST IF GOTTEN RIGHT
    6·1 answer
  • The postal service offers flat-rate shipping for priority mail in special boxes. Today, Jackson shipped 6 small boxes and 6 medi
    5·1 answer
  • Evaluate the expression: –32 – (–52) – (15 – 33).
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!