MATHEMATICS MIDDLE SCHOOL

A cube with an edge length of 4 inches is painted on all of its sides. Then the cube is cut into 64 cubes with an edge length of 1 inch. What percent of the total surface area is painted? Explain.

Answers

Answer 1
Answer: Please refer to the diagrams to understand these answers:

CUBE (1):

Paint on cube (1) contains 3.125% of the paint.

CUBE (2):

Paint on cube (2) contains 2.083% of the paint.

CUBE (3):

Paint on cube (3) contains 1.042% of the paint.

CUBE (4):

Contains 0% of the paint.

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

There would be four different types of cubes which would contain different amounts of paint.

Some cubes in fact would have no paint (cube (4)). Now we can check if our results are correct by counting how many cube (1)'s, cube (2)'s, cube (3)'s and cube (4)'s there are...

Cube (1) x 8 + Cube (2) x 24 + cube (3) x 24 + cube (4) x 8

= 3.125% x 8 + 2.083% x 24 + 1.042% x 24 + 0% x 8

= 1

= 100%
Answer 2
Answer:

Answer:

25%

Step-by-step explanation:A cube with an edge length of 4 inches is painted on all of its sides. Then the cube is cut into 64 cubes with an edge length of 1 inch. What percent of the total surface area is painted?

Find the surface area of the painted cube.

6(42) = 96 in2.

Find the surface area of each of the smaller cubes.

6(12) = 6 in2.

Find the total surface area of the smaller cubes.

64(6) = 384 in2.

Find the percent of the total surface area painted.

96

384

= 0.25, or 25%.

The total surface area painted is 25%.

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What does x equal and explain how​

Answers

Answer:

x = 32

Step-by-step explanation:

(x)/(8)+2=6\qquad\text{subtract 2 from both sides}\n\n(x)/(8)+2-2=6-2\n\n(x)/(8)=4\qquad\text{multiply both sides by 8}\n\n8\!\!\!\!\diagup^1\cdot(x)/(8\!\!\!\!\diagup_1)=(8)(4)\n\nx=32

The answer to -6-2m=10

Answers

First you have to add 6 to both sides to get -2m=16. Divide by -2 to get m by itself, and your answer is m=-8.

How many times does the minute hand move around the clock face in one day?

Answers

The hour hand will go around the clock twice during a day, every 12 hours. During a single rotation, the minute hand will go around 12 times. The minute hand will pass the hour hand 11 times in the first 12 hours, and 11 times in the second 12 hours. This means that they will meet 22 times.
To find that, we will start from one minute. How many seconds are there in one minute? There are 60 seconds in one minute.
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A music shop has 5 different brands of guitar strings. The 5 different brands sell for $16, $20, $15, $11, and $13. What is the mean absolute deviation of the prices? Round to the nearest cent, if necessary.

Answers

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Tickets for the school concert were 3$ and 2$. If 245 tickets were sold for a total of $630, how much of each kind were sold?

Answers

2x + 3y = 630
x + y = 245 then you want to get rid of x so in the second equation × by -2 and get -2x -2y =-490 subtract this equation from the first to get y=$140 substitute 140 in for y and get x= $105 and 2x=210 and 3y=420 210 +420=630

Can someone please help with this?

Answers

Answer:

Step-by-step explanation:

6x-5y=15

x=y+3

6x-5+3=15

       -3    -3 (take from both sides)

6x-5=12

    +5   +5   (add to both sides)

6x=15

6 /15=.4

x=.4

y=+3

I probably did that wrong but that i the overall concept

Answer:

x=0

y=-3

the problem is true

(i dont know i tried)
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