What is the greatest surface area of a rectangular solid that can be built from 16 identical unit cubes?

Answers

Answer 1

Answer and explanation:

The surface area of a solid is the sum of the areas of all faces of the solid. The surface area of a cube is calculated using the formula 6a² since a cube has 6 faces in total likewise a cuboid.

We can say the rectangular solid is a cuboid and to find the surface area of the cuboid we add up the surface area of all 16 cubes

Surface area is therefore 16×6a²


Related Questions

What does the quadratic function
f(x) = x2 - 6x + 8 look like when it is
rewritten in the form f(x) = a(x − p)2 +q?

Answers

Answer:

f(x) = (x -3)^2 - 1

Step-by-step explanation:

f(x) = x^2 - 6x + 8

a = 1, b = -6 and c = 8

So we are finding half of the b equation (ignore the negative sign)

Half of 6 is 3, so we are going to square 3 (3^2 = 9) and add 9 to the left side and subtract 9 to the right side

(x) = (x^2 - 6x + 9) + (8 - 9)

You can tell the polynomial is a perfect square, so we will have to factor it using the perfect square method

(x^2 - 6x + 9)

square toot of x^2 is x and square root of 9 is 3 and the operation sign after the a number is a minus sign

(x -3)^2

Don't forget the rest of the equation from before

(x -3)^2 + (8 - 9)

(x -3)^2 - 1

So the equation is f(x) = (x -3)^2 - 1

Find the circumference Use 3.14 for TT a Diameter of ferris wheel is 50 ft​

Answers

Answer:

157

Step-by-step explanation:

Formula: C= 2r3.14, so multiply them together to get 157.

or to make it easy do C= D3.14

D being diameter and r being radius.

2. A nutritionist wants to collect data on how much caffeine the average American drinks per day. She has the following ideas for how she could obtain a sample:
a. Ask the first 20 adults who arrive at a grocery store after 10:00 a.m. about the average amount of caffeine they consume each day.
b. Every 30 minutes, ask the first adult who comes into a coffee shop about the average amount of caffeine they consume each day.​

Answers

Answer:

B

Step-by-step explanation:

If you start to ask after 10:00 am, a lot of people isn't drinking caffeine. And, were trying to figure out the average.

PLEASE HELP MEEEEEE I AM SOOOOOOOOOOOO CONFUZED
Calculate the area of the irregular polygon shown below:

24 square inches
44 square inches
54 square inches
84 square inches

Answers

44 square inches :) you add all of the sides together. You also have to find the sides that weren’t listed.

please help!!!!! i’ve been stuck on this question

Answers

Answer:

30

Step-by-step explanation:

The angle for BOF is going to be 180.

So if the angle for COF is 150, then COB is going to be the complement angle.

This means it's 180 - 150 = 30.

Find the measure of the angle shown

Answers

Answer:

Its a degree rotation so its C or -85pi over 18

Step-by-step explanation:

HELPP!!! it’s due right now
Find the y-intercept of the line on the graph.
Enter the correct answer.

Answers

I’m pretty sure. It should be (1,0)

Answer: y intercept is -1

Step-by-step explanation:

The line intercepts at -1

Anais bought 4 1/2 yards of ribbon. She had 3 feet 8 inches of ribbon left after trimming some curtains. How many inches of ribbon did anais use to trim the curtains

Answers

Answer:

First convert all numbers into inches since that is the answer being solved for.

1 yard =36 inches

4.5 x 36 = 1,620 inches

1 foot = 12 inches

3 x 12 = 36 inches

36 + 8 = 44 inches

Now take 1,620 inches (starting ribbon measure) and subtract 44 inches (what was left over) to get the inches used to trim curtains.

1,620 inches - 44inches =

1,576 inches were used to trim the curtains.

Step-by-step explanation:

Brainly highly appreciated <3

Joe earns a 15% commission on all sales. If commission was $1,125, find the amount of his sales

Answers

You just need to divide the 15% into $1,125 it gives you $7,500

A scientist measured the growth rate of an apple tree at 10 inches in 5 weeks. What is the growth rate of the apple tree? (in inches/week)

Answers

Answer:

2 inches per week.

Step-by-step explanation:

1 week = 2 inches

5 weeks = 10 inches

!!! PLEASE HELP !!! Clare made green paint with 4 cups of yellow paint and 5 cups of blue paint. If Ms.
Kim only has 1 cup of blue paint, how much yellow paint should she use to get the
same color green?

Answers

Answer:

1/2 cup blue

blahnik black gg fu lrjrhjrjrek

Answer:

bshdjrjrb

Step-by-step explanation:

abcdefghijklmnop

Which number below is a perfect square? 100 90 50 75 ​

Answers

100








ggbnjj mj ddcnmikiyewazxbnoorr

Which situation is BEST modeled by a linear function? A) The value of a new automobile that depreciates 20% each year. B) The size of a culture of yeast that doubles in size every 20 minutes. C) The amount an investment is worth when earning 7.2% compounded yearly. D) The amount of interest earned for a year on a savings account earning 5.5% simple interest.

Answers

Answer:

C

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Graphing B would result in a liner function since the change is constant. The other functions lead in exponential change.

Solve for the variable
y + 19 = 24

Answers

Answer:

y = 24 - 19

= 5

Step-by-step explanation:

Y = 5
Do 24 - 19
24 - 19 = 5
It’s pretty easy :)

2. Meredith deposits $150 into her bank account. With the deposit, she now has over $500 in her account. What expression could be used to find x, the original balance before the deposit was made? ​

Answers

Answer:

150 + x>350

Step-by-step explanation:

Its not an expression but idc

Which expressions are equivalent to this exponential expression?

Answers

remember that when the exponents look like this (5^2)^-3, you multiply the exponents together

when it looks like this:
5^3 x 5^2 you add the exponents
so my example would equal 5^5

also remember that you can’t have negative exponents

To solve your problem:
1. multiply the exponents here: (5^2)^-3

2. add the exponents in the next step when you multiply by the 5^4

3. now, you should get a negative exponent on the top, and you already have one on the bottom. to get rid of these negative exponents, move the one in the denominator to the numerator and vice versa

so when you move the 5^-4 in the denominator to the numerator, it becomes 5^4

4. now, you simplify. you can either subtract the exponents and do it that way, or you can solve the exponents and then divide. either way will work, although the first is easier

solve (-25)÷0=? please give me right solution​

Answers

Answer:

its undefined

Step-by-step explanation:

-25/0 is undefined

This is because anything divided by zero is undefined.

Silver scored 48 points in 4 basketball games. If Silver scored the same amount in each game how many points would he score in 10 games?

Answers

Answer: 120

Step-by-step explanation: He scores 12 points each game. 12 x 10 = 120 Good luck! :D

120. 48/4 equals 12 points a game. Multiply by 10 (games) to get 120 points!

Shese
Functions - Graphing
A State whether each graph represents a function.
ਤੇ
ਸੀ।

Answers

Answer:

1) No

2) No

3) Yes

4)Yes

5) No

6) No

Step-by-step explanation:

In a function, no domains (x-coordinates) are repeated. Only graphs 3 and 4 meet this requirement.

Hope it helps!

need help with this too-

Answers

n = the value of the number in a sequence


a.) 5, 10, 15, 20, ........ 50
b.) -1, -3, -7, -15, ..... -1023

Margo added three multi-digit decimal numbers. The first number was 5.19. The second number was 10 times the first number. The third number was 10 times the second number. What was the sum?

Answers

Answer: 576.09

Step-by-step explanation:

First number = 5.19.

The second number was 10 times the first number which will be:

= 5.19 × 10

= 51.9

The third number was 10 times the second number. Thus will be:

= 51.9 × 10

= 519

The sum of the numbers will be:

= 1st number + 2nd number + 3rd number

= 5.19 + 51.9 + 519

= 576.09

Charlotte has 3 beads. She has 8 more red beads than blue beads?


Answers

Answer:

The fourth one

Step-by-step explanation:

Answer:

n+8n+30 where n is the number of red beads

Step-by-step explanation:

Which car drives faster

Answers

Ford F-150 cold start

2. Which statement is not true in the equation
y = 0.5x?
A. The value of y is one-half times the value of x.
B. The equation represents an additive relationship.
C. The value of y is 4 when the value of x is 8.
D. The equation represents a multiplicative
relationship.

Answers

Answer:

B

Step-by-step explanation:

Use the Distributive Property to solve the equation.
- 8(x + 7) = 16
Apply the Distributive Property and simplify.
- 8(x + 7) = 16
- 8x + = 16

Answers

Answer:

x= - 9

Step-by-step explanation:

- 8(x +7) = 16-8x - 56 = 16 -8x = 16 + 56-8x = 72x = 72 ÷ (-8) x = -9

Hey there!

Use the Distributive Property and simplify:

-8(x+7)=16

-8x-56=16

Notice we write -8 right next to x.

Add 56 to both sides:

-8x=16+56

-8x=72

Divide both sides by -8:

x=-9

Hope everything is clear.

Let me know if you have any questions!

#KeepLearning

[tex]\boxed{An~Emotional~Helper~here}[/tex]

Jose has scored 555 points on his math tests so far this semester. To get an A for the semester, he must score at least 660 points. Write and solve an inequality to find the minimum number of points he must score on the remaining tests, n, in order to get an A.

Answers

If I am not wrong, n = 105, because 660-555=105.

P=-30h+74 The variable h represents the number of hours he has spent reading, the variable p represents the number of pages left to read. How many hours of reading will Ethan have to do in order to have 14 pages left to read?

Answers

Answer: Ethan will have to spend 2 hours reading if 14 pages are left to read

Step-by-step explanation:

Given the equation

P=-30h+74

where p =number of pages left to read and

h= the number of hours he has spent reading

Therefore , if Ethan has 14 pages left to read, then the number of hours Ethan will have to read will be

P=-30h+74

14= -30h + 74

30h= 74-14

30h= 60

h = 60/30

h =2 hours

Ethan will have to spend 2 hours reading if 14 pages are left to read

Isabella and her cousin Rodrigo have the same birthday but isabella is 15 years older than Rodrigo the equation y= x + 15 represents isabella's age y, when Rodrigo is x years old what is the answer?.

Answers

Answer:

The answer is below

Step-by-step explanation:

Isabella and her cousin rodrigo have the same birthday, but isabella is 15 years older than rodrigo is x years old. which table of value shows this relationship

Solution:

Let x represent Rodrigo's age and let y represent Isabella's age. Since Isabella is 15 years older than Rodrigo, hence her age is given by the equation:

y = x + 15

You can use a table to represent the relationship between their ages. Let us find the corresponding Isabella age for the following Rodrigo age.

Rodrigo:     10         20            30

Isabella:      25        35           45

When x = 10:   y = x + 15 = 10 + 15 = 25

When x = 20:   y = x + 15 = 20 + 15 = 35

When x = 30:   y = x + 15 = 30 + 15 = 45

Solve
7 + X = 2x-5
3

Answers

Answer:

x = 60

Step-by-step explanation:

subtract 7 from both sides:

7 + x - 7 = 2x - 53 - 7

Simplify:

x = 2x - 60

Subtract 2x from both sides:

x - 2x = 2x  - 60 - 2x

Simplify:

-x = -60

Divide by -1=

-x/-1 = -60/1

X = 60

Ms. Johnson is drawing a floor plan of her square room that has an area of 100 ft2. She is using the scale of 0.5 inch =2 ft. What is the length of her room on the floor plan?

Answers

Answer:

it's 2.5 inches cool profile pic to

Step-by-step explanation:

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