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
chubhunter [2.5K]
4 years ago
15

exactly 512 small cubes perfectly fill a lidless cubical box. All of the small cubes were removed except those touching the bott

om of the box and those touching the sides of the box. How many of the small cubes were removed
Mathematics
1 answer:
Vladimir [108]4 years ago
6 0

Answer: 216

Step-by-step explanation:

Since, a cube is a 3D structure,

We can understand this problem by assuming the figure in the coordinate axis.

In which, The cubes in the box along x-axis = 10

Along y-axis = 10

Along z-axis = 10

Total cubes along each x, y, z directions those are not appearing on surface are (10-2), (10-2), (10-2) = 8, 8, 8  

Therefore total cubes which are not shown on the surface of the cube= 6\times 6\times 6 = 216.

Since, the box that are not in the surface are removed.

Thus, the total boxes that are removed = 216

You might be interested in
The explicit formula for the geometric sequence 10,30,90,180
alukav5142 [94]

Answer:

a_{n} = 10 (3)^{n-1}

Step-by-step explanation:

The n th term of a geometric sequence is

a_{n} = a (r)^{n-1}

where a is the first term and r the common ratio

Here a = 10 and r = 30 ÷ 10 = 3, thus

a_{n} = 10 (3)^{n-1}

7 0
3 years ago
Read 2 more answers
Find the approximate circumference of a circle with a diameter of 100 yards.
elixir [45]

Answer:

D. 314 yds

Step-by-step explanation:

Given:

Diameter = 100 yds

Required;

Circumference of the circle

Solution:

Circumference of circle = πd

Plug in the value

Circumference = π × 100

= 314 yds (nearest whole number)

5 0
3 years ago
What is the undefined variable in this equation (6x2 +3x) ÷ (3x) simplified 3x + 1
ozzi
X is the undefined variable hope it helps

4 0
3 years ago
The complement of an angle is three times the measurement of the angle. Find the measurement of the larger angle.
olganol [36]
We know that two complements add up to 90.
Let's call the smaller angle x and the larger y.
3x = y
x + y = 90
We can use simple substitution.
x + 3x = 90
4x = 90
x = 22.5

Then, since we know that 3x=y, we can find the larger angle.
3*22.5 = 67.5
4 0
4 years ago
If (ax+2)(bx+7)=15x2+cx+14 for all values of x, and a+b=8, what are the 2 possible values fo c
dolphi86 [110]

Given:

(ax+2)(bx+7)=15x^2+cx+14

And

a+b=8

Required:

To find the two possible values of c.

Explanation:

Consider

\begin{gathered} (ax+2)(bx+7)=15x^2+cx+14 \\ abx^2+7ax+2bx+14=15x^2+cx+14 \end{gathered}

So

\begin{gathered} ab=15-----(1) \\ 7a+2b=c \end{gathered}

And also given

a+b=8---(2)

Now from (1) and (2), we get

\begin{gathered} a+\frac{15}{a}=8 \\  \\ a^2+15=8a \\  \\ a^2-8a+15=0 \end{gathered}a=3,5

Now put a in (1) we get

\begin{gathered} (3)b=15 \\ b=\frac{15}{3} \\ b=5 \\ OR \\ b=\frac{15}{5} \\ b=3 \end{gathered}

We can interpret that either of a or b are equal to 3 or 5.

When a=3 and b=5, we have

\begin{gathered} c=7(3)+2(5) \\ =21+10 \\ =31 \end{gathered}

When a=5 and b=3, we have

\begin{gathered} c=7(5)+2(3) \\ =35+6 \\ =41 \end{gathered}

Final Answer:

The option D is correct.

31 and 41

8 0
1 year ago
Other questions:
  • What are the solutions if 1/4x^2 =-1/2x+2?
    14·2 answers
  • She picked 1 1/3 bushels of apples on her first trip and went back a second time and picked 5 1/3 bushels of apples
    13·1 answer
  • Click here please. The problems are in picture format
    13·1 answer
  • a flower bed has the shape of a rectangle 24 feet long and 9 feet wide what is its area in square yards
    7·1 answer
  • Arrange the 9 digits in three arithmetic sums. Using three of the four operations of addition, subtraction, multiplication, or d
    12·1 answer
  • Help!!!! please alegabra 1​
    10·1 answer
  • When ordering tickets online, a collage theater charges a $5 handling fee no matter how large the order. Tickets to a comedy con
    6·1 answer
  • Answer asap pls no trolls!
    6·1 answer
  • Graph the Equation shown in the image.
    15·1 answer
  • I really need help with this. don't do this for the points, please.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!