A toy company manufactures sealed cubes that contain a colored liquid that glows in the dark. The liquid completely fills the cubes. If 8 cubic blocks with a side length of 1/6 m are needed to find the volume of each cube, how much of the liquid can each cube hold?

Answer: By definition, the volume of a cube is given by:

Where,
L: side of the cube.
For each cubic block we have:

Since 8 cubic blocks are needed, then the total volume is:

each cube can hold 1/27 m ^ 3 of the liquid

Step-by-step explanation:

L: side of the cube. For each cubic block we have:

V = (1/6) ^ 3

V = 1/216 Vt = 8

Vt = 8 * (1/216)

Related Questions

Arcsin(sin(3pi)) ...?

The solution to the problem is as follows:

arc sin (sin 3pi) = theta
where theta is the angle ur looking for
so that becomes
sin (theta) = sin 3pi
sin (theta) = 0
theta = 0, pi

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Which is a factor of 6x3y + 6xy − 12x2 − 12?

I shall rewrite the initial formula to make it more clear what the proper notation is.

6x³y + 6xy - 12x² - 12

To begin this problem, we can first find any common denominator in each term, and it turns out that each term can be divided by 6. So we will factor out 6.

6(x³y + xy - 2x² - 2)

We will group the first two terms and the second two terms. From here we can factor out the greatest common denominator from each group.

6 ( (x³y + xy) + (-2x² - 2) )
6 ( xy (x² + 1) - 2 (x² + 1) )

The greatest common denominator is x² + 1. Factoring out this leaves us with the following:

6 (x² + 1) (xy - 2)

Therefore, 6, (x² + 1), and (xy - 2) are all factors of the initial formula.

Write an equation in slope-intercept form for the line with slope -1/4 and y-intercept intercept -3. Then graph the line ​

y = - x - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - and c = - 3, thus

y = - x - 3 ← equation in slope- intercept form

"I'm thinking of a fraction that is equivalent to 5/6 . The numerator is 4 less than the denominator." What fraction

20/24

Step-by-step explanation:

let the variable be x and x-4

5/6 = x-4/x

cross multiply

5x = 6x - 24

24= x

thus, x is 24 and x-4 is 20

20/24

How to write 27.346 in expanded form

The expanded form of given expression is 20 + 7 + 0.3 + 0.04 + 0.006.

It is required to find given expression in expanded form.

What is expanded form?

Expanded form is a way to write a number by adding the value of its digits. We can use a place value chart to think of the value of a number's digits.

Given that:

The given expression is

27.346

We have to write in  expanded form,

Expanded Form of 27.346:

27.346 = (2 * 10^1) + (7 * 10^0) + (3 * 1/10^1) + (4 * 1/10^2) + (6 * 1/10^3)

27.346 = (2 * 10) + (7 * 1) + (3 * 1/10) + (4 * 1/100) + (6 * 1/1,000)

27.346 = 20 + 7 + 3/10 + 4/100 + 6/1,000

27.346 = 20 + 7 + 0.3 + 0.04 + 0.006.

Hence, the expanded form of given expression is 20 + 7 + 0.3 + 0.04 + 0.006.

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27.346 in expanded form is (2x10)+(7x1)+(3x0.1)+(4x0.01)+(6x0.001).

How do you make fractions into decimals

You have to divide the numerator by the denominator if it's an improper fraction, but, if it is a mixed which is A b/c, then you multiply A with c, then you add the numerator which is b to the product and write the denominator as it is. After that, divide the numerator by the denominator.

Example:

Improper: 3/4 = 3 divided by 4 = 0.75

Mixed: 3 3/4 = 3*4+3= 15/4 = 3.75

you divide the nominator by the denominator

Step-by-step explanation:

For example:

10/15

so 10 divided by 15= .6666...

10/15 as a decimal is .6 repeating

A newspaper reports the median house price is \$250,000. From that standard, tell what you know about housing prices. Please Explain Your Answer!!

You know that the average house price is \$250,000 dollars
Median means medium

A new car has a sticker price of \$24,750, while the invoice price paid was \$21,950. What is the dealer markup?

2800 is the correct answer for APEX

12.76%

Step-by-step explanation:

APPPPPEEEEEXXXX

a sign says that the price marked on all music equipment is 30% off the original price you buy an electric guitar for sale price of \$315 what is the original price

The original price is \$450.

Step-by-step explanation:

Step 1:

Given details, Discount%, D% = 30 and Selling Price, SP = \$315

Step 2:

Write down formula for calculating the Original Price

Selling Price (SP) = Original Price (OP) - Discount (D)

Discount (D) = Original Price (OP) * (D%/100)

Step 3:

Substitute given values in the formula

315 = OP - D

D =

D = 0.3 OP

Step 4:

Substitute value of D in the first formula

315 = OP - 0.3 OP

315 = OP (1 - 0.3) = 0.7 OP

Original Price, OP = 315/0.7 = \$450