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wolverine [178]
2 years ago
7

​Marco is building a box to store his son's toy wooden cubes. ​Each wooden cube has a volume of 1/12 cubic meter. In total, how

many wooden cubes will fit in the box?
Mathematics
1 answer:
Paladinen [302]2 years ago
7 0

Answer:

12

Step-by-step explanation:

if its not 12, what is the volume of the box.

You might be interested in
What is the scale factor of the dilation?
inna [77]

Answer:

3

Step-by-step explanation:

the distance from the point of dilation to point C is 3

the distance from the point of dilation to point A is 9

9/3 = 3

hope this helps, pls mark brainliest :D

5 0
3 years ago
When solving this equation for x, what would you do next?
Leviafan [203]

Answer: A. Distribute the 3 outside of the parathesis to everything inside the parenthesis

We use the order of operations, also known as PEMDAS.

Since there is a variable inside the parenthesis, we cannot add/subtract 4. This means the next step is to distribute.

After distributing, the equation looks like this and we can solve it from there:

4x + 12 = 30

4 0
2 years ago
In the space below, provide the larger of the two positive integers that add to 10 and have the largest possible product.
aleksklad [387]

Answer:

  5

Step-by-step explanation:

The integers 5 and 5 sum to 10 and have the largest possible product.

___

The two numbers will be x and (10-x). Their product is x(10-x), which describes a downward-opening parabola with zeros at x=0 and x=10. The maximum (vertex) of that parabola is halfway between the zeros, at x=5. Both integers have the same value: 5. Their product is 25.

If there is a requirement the integers be distinct, then 6 and 4 are the integers of choice. Their product is 24.

6 0
3 years ago
Volume and surface area are often compared by manufacturers in order to maximize how much of something can go inside of a packag
notka56 [123]
We have no dimensions to work with. I'll pick some and try and comply with the conditions of the problem. 

Suppose you have an object that is 14 by 22 by 27 cm. These three numbers have no common factor so they cannot be reduced any further, which is helpful for this problem.

Find the Volume
Volume

l = 27 cm
w = 14 cm
h = 22 cm

V = 27 *14 * 22
V = 8316 cm^3

Find the surface area
SA = 2*l*w + 2*l*h  + 2*w*h
SA = 2*27*14  +  2*27*22   +  2*14*22
SA = 756 + 1188 + 616
SA = 2558

Just looking at these numbers The surface area is about 1/3 of the volume. I don't think this is always true.


 \frac{SA}{V} =  \frac{2*L*W  + 2*L*H + 2*W*H}{L*W*H} 

Another way to do this is to consider a cube which might give you a more useful result. 

s = L = W = H all three dimensions are equal in a cube.
The volume of a cube is s*s*s = s^3
The surface area of a cube is 2*s*s + 2*s*s + 2s*s = 6s^2

\frac{SA_cube}{V_cube} =  \frac{6s*s}{s*s*s}
\frac{SA}{V} =  \frac{6}{s}

That means whatever the side length, the Surface Area to volume = 6/the side length which is kind of an interesting result.


4 0
3 years ago
Which equation is a point slope form equation for line AB ?
kap26 [50]

Answer:

y-5=\frac{3}{4}(x-6)

Step-by-step explanation:

we know that

The equation of a line in point slope form is equal to

y-y1=m(x-x1)

step 1

Find the slope m

we have the points

A(-2,-1),B(6,5)

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute the values

m=\frac{5+1}{6+2}

m=\frac{6}{8}

simplify

m=\frac{3}{4}

step 2

Find the equation of the line

we have

(x1,y1)=(6,5)

m=\frac{3}{4}

substitute

y-y1=m(x-x1)

y-5=\frac{3}{4}(x-6)

3 0
3 years ago
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