Alex has 64 cubes with dimensions in feet (ft), like the one shown. He uses all the cubes to fill a box shaped like a larger rectangular prism. There are no gaps between the cubes. Part B: If there are 64 of these cubes in the larger prism, then what is the volume, in cubic feet, of the larger rectangular prism?

Answers

Answer 1

Answer:

The volume, in cubic feet, of the larger rectangular prism is 64 cubic feet

Step-by-step explanation:

Length of small cube =[tex]\frac{1}{2} ft[/tex]

Volume of each cube = Side^3

Volume of each cube =[tex](\frac{1}{2})^3[/tex]

                                    =[tex]\frac{1}{8} ft^3[/tex]

Volume of 64 cubes = [tex]64 \times \frac{1}{8}[/tex]

Volume of 64 cubes [tex]= 8 ft^3[/tex]

We are given that He uses all the cubes to fill a box shaped like a larger rectangular prism.

So, Volume of 64 cubes = Volume of rectangular prism

So, If there are 64 of these cubes in the larger prism, then the volume, in cubic feet, of the larger rectangular prism is 64 cubic feet


Related Questions


Estimate 8,633 x 57,008

Answers

Answer: 492150064

Step-by-step explanation:

Answer:

Step-by-step explanation:

Round 8633 to 9000

Round 57008 to 57000

Multiply 9 by 57 and place the six zeros beside your answer

9×57= 513

9000×57000= 513000000

please help.. having trouble figuring this out. your help is greatly appreciated :)

Answers

Angle MRQ is equal to 90

What is the remainder when 23,870 ÷ 38? Please do step by step

Answers

23,870/38 equals 628.1578947368421.

628.1578947368421= 628 (round whole to a whole number .1 is not greater than 5, 628 stays.

So now what you do is 628/38....

You remainder should be 6

Final answer is: 628 R6

Check: 628 * 38 + 6 = 23870

Answer two questions about Equations A and B:
A. 3x– 1=7
B. 3x = 8
1) How can we get Equation B from Equation A?

Answers

Subtract 1 to both sides

An equation is formed of two equal expressions. We can get Equation B from Equation A by adding 1 to both the sides of equation A, while the solution of both the equations is 8/3.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

1.) The given equation A can be solved as shown below,

3x – 1 = 7

Add 1 to both the sides of the equation,

3x – 1 + 1 = 7 + 1

3x = 8 {∴ Equation B}

Divide both the sides of the equation by 3,

3x/3 = 8/3

x = 8/3

Thus, the solution of the equation is x=8/3.

2.) We can get Equation B from Equation A by adding 1 to both the sides of equation A, while the solution of both the equations is 8/3.

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2x+3=17and x=7


Please help algebra please

Answers

Answer:

[tex]2x+3=17\\14+3=17\\[/tex]

x=7

Answer:

One solution

Step-by-step explanation:

There is only one solution, where x=7

PLS HELP ILL GIVE U POINTS :)

Explain how you know the following system of equations has at most 2 solutions.
Solve the system algebraically. Show your work.
Solve the system by graphing.


y= 2x-1
y= x^2-9

Answers

Answer:

Step-by-step explanation:

Answer:

The said explanation is the answer.

Step-by-step explanation:

1) Graphing the first function (y = 2x-1). When the exponents of the variables are all 1, that is there are no square, cubes, etc. the equation is a line. Then it is enough to find two points to draw it. We can calculate two points assigning a number to x and calculating the corresponding number for y. For example, when x= 0 y= 2 times 0 -1 = -1. Then the line will pass from the point (0,-1). We need a second point, we can take x=1, then y = 2 times 1 -1 = 1. The line will pass from (1,1). We can mark the two points on the plane and draw the line from these two points.  

2) Graphing the second function (y = x^2-9). A quadratic equation is of the form: ax^2+bx+c= 0. We have: y= f(x) -9. Set y=0. We have the quadratic equation: x^2-9=0. Using the algebraic identity: a^2-b^2=(a+b)(a-b). We can rewrite x^2-9=0 as x^2-3^2=0: [(x+3)(x-3)=0] - [(x+3)=0,(x-3)=0] - [x= -3, x= 3]. Hence, there are two solutions for x. So we have two x-intercepts: (-3,0) and (3,0). To find the y-intercept, set x=0: [(y = (0)^2-9=0)] - [(y=-9)]. Hence the y-intercept: (0,-9)

In conclusion, this system of equations at most has two real solutions, since two points of both functions intersect each other.

Here's the graph:

Identify the axis of symmetry of the parabola.

Answers

The axis of symmetry of a parabola is a line about which the parabola is symmetrical. When the parabola is vertical, the line of symmetry is vertical. When a quadratic function is graphed in the coordinate plane, the resulting parabola and corresponding axis of symmetry are vertical.

Answer:

AOS: x = -1

Vertex: (-1, -2)

Step-by-step explanation:

Indentify the turning point of the graph with is x = -1.

please please help me i dont know

Answers

Answer:

O-O omg i feel u i have like the same question

Step-by-step explanation:

sorry couldn't help

Answer:

Hello! I'm pretty sure you aren't expecting an answer now. If no one else answers the points would be lost so I'm answering right now. If you were, I'm really sorry and you can report this answer so that it gets deleted and another person can answer! :)

which statement is false someone pls answer

Answers

Letter b is the answer
Those angles are opposites

A function goes through the point (-5,2). What point is the inverse of this function guaranteed to go through ?

Answers

the inverse function just changes the coordinates

if f goes through (a,b), then f^-1 must goes through (b,a)

i need help with this​

Answers

Answer: b) 12

Step-by-step explanation: you can tell its 12 by the way 12 goes into 24 then by the way 6 goes into 12

The mapping diagram shows a functional relationship.
Complete the statement.
f(3) is
Domain
Range
0
3
Tomos
-1
9
9


Answers

Answer:

its -1

Step-by-step explanation:

cuz

Answer: it’s -1

Step-by-step explanation:

I just did the test

I have socks is purchased at wholesale for two dollars. It is then sold for four dollars to the customer. What is the percentage increase?

Answers

Answer:

50%

Step-by-step explanation:

Answer:

50%

Step-by-step explanation:

If the original price is $2, and the person then sells it for $4, the markup is 50% because 4/2 is 2.

Warren paid $23.85 and received no change. He is a member and rented 2 lanes. how many pairs of shoes did he rent?

MEMBERS COST: $2.95 ​

Answers

i'm not sure how much the lanes are, so i'm gonna list the prices of pairs of shoes so you can just add the price of the lanes and find the answer:

1 pair - 2.95

2 pairs - 5.90

3 pairs - 8.85

4 pairs - 11.80

5 pairs - 14.75

6 pairs  - 17.70

7 pairs - 20.65

8 pairs - 23.60

(thats the highest amount of shoes he could get)

NEED HELP ASAP A field's length is 9 meters 40 centimeters. What is the length of the field in millimeters? A)9.24 mm B)940 mm C)9,400 mm D)94,000 mm

Answers

Answer:

C

Step-by-step explanation:

so you will need to figure out the differences also is it 9 meters and 40 centimeters?? if thats the case it is

Answer:

C

Step-by-step explanation:

9.40 x 1000 = C

Add and subtract the values. Express your answer in scientific notation.
(6.15x 10^8)-(2.5x 10^7)+(3.4 x 10^9)
6.24 x 10^8
7.05x 10^8
3.99 x 10^9
4.04 x 10^9

Answers

You have to answer it so the answer is 4.04

Answer of given expression is 3.99 x 10^9

What is expression?

Expressions is the defined as mathematical statements that have a minimum of two terms containing variables or numbers.

Given,

(6.15x [tex]10^8[/tex])-(2.5x [tex]10^7[/tex])+(3.4 x [tex]10^9[/tex])

Converting the expression into same power

(6.15x [tex]10^8[/tex])-(0.25x [tex]10^8[/tex])+(34 x [tex]10^8[/tex])

(40.15x [tex]10^8[/tex])-(0.25x [tex]10^8[/tex])

(39.9x [tex]10^8[/tex])

3.99 x [tex]10^9[/tex]

Hence 3.99 x 10^9

Learn more about Expressions

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A bike rental company charges $12.75 for the bike and $0.50 for each mile
Hidden. The total charge for one day's rental is $28.75. How many miles did

Answers

Answer:

32 miles

Step-by-step explanation:

this is because you first subtract 12.75 from 28.75 and this will leave you with 16.00. second you will divide 16.00 by .50 and this will leave you with 32 miles

How can you find the side length of the square of Kendra wants exactly 1,000 feet

Answers

4x=1000 (4 sides on a square multiplied by x needs to be 4000). you could also just divide 1000 by 4 to get 250 for each side

I have a riddle for you I have 31 82,400,060 tens and 100 hundreds

Answers

Answer: 31824010600

Step-by-step explanation: 3182400060 tens and 100 hundreds = 31824010600.

System of Equations Word Problems 3x3
1. Roy, Sally, and Jeff drive a total of 50 mi to work each day. Sally drives twice as far as Roy, and
Jeff drives 10 mi farther than Sally. Use a system of three equations in three unknowns to find
how far each person drives each day.

Answers

Answer:

Roy drives 10 miles Sally drives 20 miles and jeff drives 30 miles

Step-by-step explanation:

0 + 10 = Roy

Roy * 2 = Sally

Sally + 10 = Jeff

I hoped this helps, correct me if I'm wrong

Does this mean -5 over 3
or -3 over 5??? Or what does that mean??? PLEASE HELP

Answers

It probably means to divide or just a fraction

Answer:

That’s -5 over 3 ! :)

Step-by-step explanation:

The -5 is above/over the 3

3 over -5 would look like 3/-5 and the picture you are showing has -5/3.

What is the sign of the product if you multiplied three negative integers?

Answers

Answer:

negative

Step-by-step explanation:

Answer:

negative

Step-by-step explanation:

negative times negative is positive

then, the positive times negative is negative

what is the second step?

Answers

The third option is your answer

The cube root of 60 is 20

Answers

False, the actual cube root of 60 is 3.9.

The result can be shown in multiple forms. Exact Form: 3√60 60 3. Decimal Form: 3.91486764

Answer:

False

Step-by-step explanation:

The cube root of 60 cannot be simplified, as there are no factors to factor out of the equation. This makes the statement false.

The city fair is selling cotton candy to middle schoolers. The ticket to the fair costs $12.75 and
cotton candy is $1.50 each. Write a function to represent the cost of attending the fair if you were
to buy an “x” number of cotton candy. (Write function in slope-intercept form)

Answers

Answer:

y=1.5x+12.75

Step-by-step explanation:

Solve the following equation for g.
Rg = m + h²g

Answers

Answer:

g=m/R-h²

Step-by-step explanation:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

Answer:

g=m/R-h²

Step-by-step explanation:

Rg = m+h²g

Rg-h²g=m

by transposing h²g to the other side of the equation it has acquired a negative sign.

after this you factorise the left side.

g(R-h²)=m

now you divide both sides of the equation by R-h². The reason for doing so is because you're trying to single out g.

g=m/R-h²

How can you determine whether the data in a table represents a proportional relationship? *

Answers

Answer:

[tex]this \: can \: be \: done \: by \: appling \: the \to \\ rate \: of \: change \: law : \\ r.o.c \: (m) = \frac{y_{2} -y_{1} }{x_{2} -x_{1} } [/tex]

2. Simplify √-72 (2 points) A.) 6√2 B.) 6√-2 C.) 6√2i D.) 6i√2​

Answers

Answer:

the answer would be

D.) 6i√2

How many times would you expect the spinner to land on blue or red if you spun it 80 times? (Hint: set up a ratio table.)

Answers

Answer:

48 times

Step-by-step explanation:

Thank you come again

4(2-3x)+2=38-2x
I need help asap

Answers

Answer:

= −14/5

Step-by-step explanation:

= − 14/5 cause that's what I think it is also I solved it and this is what I got

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