What is the answer to this the bed first answer will get five stars and the crown

A rectangular prism is packed with cubes that measure 1/4 inch on each side. What is the volume, in cubic inches, of the rectang

Vladimir79 [104]

V = n X V(cube)

Explanation:

Given:

Side of the cube,a = $\frac{1}{4}$

Volume of the cube = a³

So, the volume of the cube, V is

V(cube) = $(\frac{1}{4})^3$

V(cube) = $\frac{1}{64}$

Let the number of cubes be n

Let V be the volume of the rectangular prism

Volume of rectangular prism = number of cubes X volume of cubes

V = n X V(cube)

If the number of cubes are known then substitute the value in the above given formula.

5 0

3 years ago

Find the length of each side of the polygon for the given perimeter. p=54 mi

mote1985 [20]

This all depends upon the number of sides your polygon has. I am assuming it is regular and that all the sides have the same length. If this is true, then the polygon will only be able to have the number of sides that is a factor of 54. If this is a 27-gon, then each side will measure 2 mi; if this is an 18-gon, then each side will measure 3 mi; is this is a triangle, then each side will measure 18 mi; if this is a hexagon, then each side will measure 9 mi; if this is a 9-gon, then each side will measure 6 mi. It all depends upon the number of sides you have. Your answer will be found in the info above, again, assuming this is a regular polygon.

8 0

4 years ago

What is the equation of this line? Please Help Y=4x Y=-1/4x Y=-4x Y=1/4x

Sveta_85 [38]

Answer: Y=-1/4x

Step-by-step explanation:

A good way to find an equation of a line is to look for the slope. An obvious spot on this line would be when it crosses (0,0), and another one to the right would be when it crosses at (4,-1).

The slope is rise over run, or if we use the two points we found, "rise" would be -1, because it's dropping 1 unit when going from (0,0) to (4,-1), and the "run" would be 4, because it moves to the right 4 from (0,0) to (4,-1).

Putting these two values together we get:

m (slope) = rise / run

m = -1 / 4

Out of all the equations we're given, we can look for the one with a slope of -1/4, which is given to us:

y = (-1/4)x

7 0

3 years ago

To make fuel for the main engines of a space shuttle, 102,619.377 kilograms of liquid hydrogen and 616,496.4409 kilograms of liq

crimeas [40]

Answer:

There are 719,115.8179 KG of fuel stored in the external tank

Step-by-step explanation:

102619.377 + 616496.4409 = 719,115.8179

8 0

3 years ago

What is the prime factorization of 440?

lawyer [7]

Answer:

I would say the correct answer is 2^3 • 5 • 11

Step-by-step explanation:

To find the prime factors, you start by dividing the number by the first prime number, which is 2. If there is not a remainder, meaning you can divide evenly, then 2 is a factor of the number. Continue dividing by 2 until you cannot divide evenly anymore. Write down how many 2's you were able to divide by evenly. Now try dividing by the next prime factor, which is 3. The goal is to get to a quotient of 1.Here are the first several prime factors: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29...

Let's start by dividing 440 by 2 

440 ÷ 2 = 220 - No remainder! 2 is one of the factors!

220 ÷ 2 = 110 - No remainder! 2 is one of the factors!

110 ÷ 2 = 55 - No remainder! 2 is one of the factors!

55 ÷ 2 = 27.5 - There is a remainder. We can't divide by 2 even anymore. Let's try the next prime number

55 ÷ 3 = 18.3333 - This has a remainder. 3 is not a factor.

55 ÷ 5 = 11 - No remainder! 5 is one of the factors!

11 ÷ 5 = 2.2 -There is a remainder. We can't divide by 5 evenly anymore. Let's try the next prime number

11 ÷ 7 = 1.5714 - This has a remainder. 7 is not a factor.

11 ÷ 11 = 1 - No remainder! 11 is one of the factors!

If we put all of it together we have the factors 2 x 2 x 2 x 5 x 11 = 440. It can also be written in exponential form as 2^3 x 5^1 x 11^1.

here is also the factor tree method : -

7 0

3 years ago