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2 years ago

A rectangular prism with a volume of 3 cubic units is filled with cubes with side lengths of 1/4

Mathematics

2 answers:

Snezhnost [94]2 years ago

7 0

Answer:

192

Step-by-step explanation:

Step 1:

The volume of the prism is 3 cubic units. This means the prism can be filled with 3 unit cubes.

Step 2:

How many cubes with 1/4-unit side lengths can fit in a cube with 1-unit side lengths?

Step 3:

There are 64 cubes with 1/4-unit side lengths in 1 cubic unit.

Step 4:

Since the rectangular prism is made up of 3 cubic units, we would have 3*64 total cubes with 1/4-unit side lengths.

3*64=192

Step 5:

It takes 192 of the 1/4 unit cubes to fill the prism.

ruslelena [56]2 years ago

6 0

Answer:

192

Step-by-step explanation:

The volume of a prism is 3 cubic units. Dividing each cube into 1/4 size cubes means each small cube will have 1/64 cubic inches.

This means 64 1/4 cubes fit into 1 cube. So for 3 cubes, 3*64 = 192 cubes.

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Use the method of completing the square to transform the quadratic equation into the equation form (x + p)2 = q. 3 + x - 3x2 = 9

Triss [41]

To transform the quadratic equation into the equation form (x + p)2 = q we shall proceed as follows:
3+x-3x^2=9
putting like terms together we have:
-3x^2+x=6
dividing through by -3 we get:
x^2-x/3=-2
but
c=(b/2a)^2
c=(-1/6)^2=1/36
thus the expression will be:
x^2-x/3+1/36=-2+1/36
1/36(6x-1)²=-71/36

the answer is:
1/36(6x-1)²=-71/36

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2 years ago

How many odd 2-digit positive odd integers greater than 50 are there?

Oduvanchick [21]

Answer:

Should be 25

Step-by-step explanation:

7 0

1 year ago

In a class of 25 students, 15 of them have a driver's license. If ten students are randomly selected, what is the expected numbe

const2013 [10]

Answer:

Expected number of students would have a driver's license = 6

Step-by-step explanation:

Explanation:-

Given data In a class of 25 students, 15 of them have a driver's license

The sample proportion

$p = \frac{x}{n} = \frac{15}{25} = 0.6$

Let 'X' be the binomial distribution

Given sample size 'n' = 10

mean of the binomial distribution or expected number of students would have a driver's license

μ = n p

= 10 × 0.6

= 6

Conclusion:-

Expected number of students would have a driver's license = 6

5 0

2 years ago

What is the length of side AC of the triangle?

ryzh [129]

Answer:

AC = 25 units

Step-by-step explanation:

Given ∠ A = ∠ C then the triangle is isosceles and BC = AB , that is

7x - 1 = 5x + 5 ( subtract 5x from both sides )

2x - 1 = 5 ( add 1 to both sides )

2x = 6 ( divide both sides by 2 )

x = 3

Then

AC = 6x + 7 = 6(3) + 7 = 18 + 7 = 25 units

3 0

2 years ago

Combine like terms 45Y +13 Y equals

Leya [2.2K]

Answer:

45Y + 13Y equals 58Y is the answer

7 0

3 years ago

Read 2 more answers