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3 years ago

Find the surface area of the cube shown below.Help, I don't get this.

Mathematics

2 answers:

Mars2501 [29]3 years ago

5 0

Answer:

37.5

Step-by-step explanation:

Surface area of a rectangular prism (a cube is a rectangular prism) is 2B + Ph

B is area of the base so do width x length. In cube all side lengths are the same, so do 2.5 x 2.5.

B= 6.25

P is perimeter of base so do 2.5 + 2.5 + 2.5 + 2.5 = 10

P=10

h is the height of the prism, but all sides are the same anyway so it's 2.5

h=2.5

2(6.25) + 10(2.5)

12.5 + 25

37.5

kirill [66]3 years ago

4 0

Answer:

37.5 $units^2$

Step-by-step explanation:

As the area of each of the side of the cube are the same we can multiply the area of one side by 6.

The area of one side is

$2.5*2.5=6.25\\\\6.25*6=37.5$

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a language arts test is worth 100 points there is a total of 26 questions . there are spelling word questions that ae worth 2 po

natka813 [3]

10 question of spelling words and 16 questions of vocabulary are present

Solution:

Let "x" be the number of spelling word questions

Let "y" be the number of vocabulary word question

There is a total of 26 questions. Therefore, we get

number of spelling word questions + number of vocabulary word question = 26

x + y = 26 --------- eqn 1

There are spelling word questions that worth 2 points each and vocabulary word question worth 5 points each

The language arts test is worth 100 points

Therefore, we frame a equation as:

number of spelling word questions x 2 + number of vocabulary word question x 5 = 100

$x \times 2 + y \times 5 = 100$

2x + 5y = 100 --------- eqn 2

Let us solve eqn 1 and eqn 2

From eqn 1,

x = 26 - y ------- eqn 3

Substitute eqn 3 in eqn 2

2(26 - y) + 5y = 100

52 - 2y + 5y = 100

3y = 100 - 52

3y = 48

Substitute y = 16 in eqn 3

x = 26 - 16

Thus 10 question of spelling words and 16 questions of vocabulary are present

4 0

3 years ago

-3B+5=13 How do I solve for B

Eddi Din [679]

Answer:

b = -2 2/3

Step-by-step explanation:

Isolate the variable, b. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, subtract 5 from both sides:

-3b + 5 (-5) = 13 (-5)

-3b = 13 - 5

-3b = 8

Next, divide -3 from both sides:

(-3b)/-3 = (8)/-3

b = -8/3

b = -2 2/3

7 0

3 years ago

-3 (3x-3) = 4/5 (5x-10)

dmitriy555 [2]

Answer:

x=17/13

Step-by-step explanation:

-3(3x-3)=4/5(5x-10)

-9x+9=4x-8

-13x= -17

x=17/13

8 0

3 years ago

Read 2 more answers

The width of a rectangle is three more than twice the length. The perimeter is 96 inches. Find the length and the width.

ExtremeBDS [4]

Answer:

The length of the rectangle is 15 inches and the width is 33 inches

Step-by-step explanation:

The dimensions for the rectangle are as follows:

L=L and W=2L+3

The equation for perimeter of a rectangle is:

P=2l+2w

To Solve:

1. Plug values into perimeter equation

96=2(L)+2(2L+3)

2. Simplify the equation above.

96=2L+4L+6

3. Combine like terms:

96=6L+6

4. Solve for L by subtracting 6 from both sides:

90=6L

5. Solve for L by dividing both sides by 6:

15=L.

6. Plug 15 into the equation for the width:

2(15)+3=w

30+3=w.

7 0

3 years ago

The width of a rectangle measures

Airida [17]

Answer:

Option (1)

Step-by-step explanation:

Length of a rectangle = (5.9d + 8.3f) cm

Width of the rectangle = (7.3d + 2.2f) cm

Since formula to get he perimeter of a rectangle is,

Perimeter = 2(length + width)

= 2[(7.3d + 2.2f) + (5.9d + 8.3f)]

= 2(13.2d + 10.5f)

= (26.4d + 21f) cm

Therefore, Option (1) will be the correct option.

8 0

3 years ago

Find the surface area of the cube shown below.Help, I don't get this.​

Find the surface area of the cube shown below.Help, I don't get this.