A cube has a surface area of 96 square inches. If 16 cubes are
combined to make a rectangular prism, what is the volume of the
rectangular prism?

Answers

Answer 1

Answer:

Step-by-step explanation:

A cube has 6 square faces with equal areas by definition. So a cube with a surface area of 96 units would have the surface area of each side be 96/6 = 16 square units.

Because each face of a cube is a square, it has 4 equal sides. This means that each side of the square is 16/4 = 4 units in length. Since each side of the square face is also an edge of the cube, and the way to calculate the volume of a cube is (length of an edge)^3, this means that the volume of the cube must be 4^3 = 64 cube units.

Volume of Cube = 64 cube units.

Answer 2

The volume of the rectangular prism formed by 16 cubes of each surface area of 96 square inches is 1024 inches³

Volume of a cube

volume of a cube = l³

where

l = side length

Therefore,

Surface area of a cube = 6l²

Hence,

96 = 6l²

l² = 96 / 6

l = √16

l  = 4 inches

Therefore,

volume of each cube = 4³ = 64 inches³

16 cubes forms the rectangular prsim. Therefore,

volume of rectangular prism = 16(64) = 1024 inches³

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Related Questions

Which expression is equivalent to 6/7 divided by 3/5 ?

A. 6/7 x 5/3

B 6/7 x 5/3

C 7/6 divided 3/5

D 5/3 divided 6/7​

Answers

Answer:

A.

Step-by-step explanation:

6/7  / 3/5   we invert the divisor and multiply:

= 6/7 * 5/3

Can you please help me

Answers

Answer:

there is the answer. ❤ hope it helps

the distance from the center of a square to a side is 4 yd. find the perimeter of the square

Answers

4th grade math HAHAHAHAHHAAA your too young for brainly ima report you  ✋✋✋

slope = - 2/5; y-intercept = 0
HELP!!!!!!!!!!!

Answers

Answer:

To form the equation, it would y = -2/5x

Step-by-step explanation:

Will yall help me please help me i will help ya´ll whenever ya´ll need points just ask something or i will make things where i will get ya´ll some points just will help me on this quiestion..?

Answers

It’s 5 because we put the numbers in order

Can someone please help me with this question
Please check this answer
Please tell me if it’s correct if it’s not please answer it correctly please

Answers

Step-by-step explanation:

Hey,

I'm sorry, this is not correct. For a reflection, all you have to do is count the number of points from that specific point to the line. So, for example, w is 6 units away from the line, in order to draw that, count 6 units and graph. It's pretty hard to explain, but remember the shape is being reflected, so the orientation must change. I suggest searching this up.

Let me know if you have any more questions and I'll be more than glad to help.

- Lena :)

Find the area of the shaded region.

Answers

area of parallelogram = base x height
area of large parallelogram
8 x 12 = 96
area of small parallelogram
4 x 6 = 24
96 - 24 = 72
the area of the shaded region is 72 m^2

Can u please help me??
It would be very helpful if u could write down the answer on a piece of paper(50pts)

Answers

Answer:

Given GP:

tₙ = (1/3)ⁿ⁻¹

We see that:

t₁ = 1, r = 1/3

Sum of  n terms:

Sₙ = t₁(1 - rⁿ)/(1 - r)Sₙ = [1 - (1/3)ⁿ] / (1 - 1/3) = [1 - (1/3)ⁿ] / (2/3) = 3/2 [1 - (1/3)ⁿ] Sₙ = 3/2 [1 - (1/3)ⁿ]

If f(x)= 9x^2+2x-3, find f(-1).

Answers

Answer:

f(-1)= 4

Step-by-step explanation:

Just plug -1 into all Xs

and split it into 2 seperate problems for the time being

[9 times (-1)^2] + [2(-1)-3]

-1 squared is positive 1  times the 9 is just 9

Plus  2 times -1 is -2 minus 3 is -5

combine the two seperate problems you have

9-5 the subtract and

f(-1)= 4

The value of Tonya's car is $21,000. The car's value depreciates at a rate of 15% per year.

Which function represents the value of the car after t years?

O f(t) = 1.15(21,000)

O f(t) = 21,000(1.15)

O f(t)21,000(0.85)

O f(t) = 0.85(21,000)

Answers

Answer:

f(t) = 0.85(21,000)

Step-by-step explanation:

100% - 15% = 85% 0r in decimal form 0.85

0.85 x the original pricen 21,000

Answer:

the answer for this question is: f(t)=21,000(0.85)^t

Step-by-step explanation:

well since its asking what function represents the value, you have to convert the 15 percent into a decimal. so when you put the equation together you can see its 0.85.

hope it helps! :)

What shape is figure b?

Figure A is a cone and figure B is a cylinder.
cylinder
sphere
cone
pyramid

Answers

Answer:

Cylinder

Step-by-step explanation:

Figure b is cylinder.

Answer:

sphere

Step-by-step explanation:

PLEASE HELP!!
Find the volume of the following
square pyramid.
Help Resources
8 cm
6 cm
6 cm
V = [?] cm3
Enter

Answers

Answer:

96

Step-by-step explanation:

The volume of the square pyramid is 96 cm³.

How to find the volume of a square pyramid?

You can locate the extent of a normal square pyramid with the use of the volume formula= base location² × height / 3. Take be aware that the bottom vicinity equals the square of the pyramid's base side period. However, the peak is the perpendicular distance between the pyramid's base and the pyramid's vertex.

By using the given formula, we get

V= a² h/3

=6² * 8 / 3 = 96

The answer is 96 cm³.

The volume of a pyramid is found using the formula V = (1/3) B*h, where 'B' is the base area and 'h' is the height of the pyramid.

Learn more about the volume of a pyramid here: https://brainly.com/question/21510592

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log(x+4)=logX + log4

Answers

Answer:

log

(

x

+

4

)

=

log

(

x

)

+

log

(

4

)

=

log

(

4

x

)

, so  

x

+

4

=

4

x

, hence  

x

=

4

3

Step-by-step explanation:

Can someone plz help

Answers

Answer:

x=43

Step-by-step explanation:

Answer:

x = 34°

Step-by-step explanation:

(x + 7) + (63° + (2x + 8) = 180°

combine like terms:

3x + 78° = 180°

subtract 78 from each side of the equation:

3x = 102°

divide both sides by 3:

x = 34°

THIS IS MY LAST ONE PLEASE HELP

Answers

Answer:

x=56

Step-by-step explanation:

okay so

x=180- (64+60)

x= 180-124

x= 56

Find the total surface area of this cone.
Leave your answer in terms of .
15 cm
78 cm
SA = [ ? 17 cm?

Answers

Answer:

SA = 200π cm²

Step-by-step explanation:

The slant height l is the hypotenuse of the right triangle inside the cone

The triangle is an 8- 15- 17 ( Pythagorean triple ) with l = 17

Then

SA = πrl + πr²

     =(π × 8 × 17) + (π × 8²)

     = 136π + 64π

     = 200π cm²

Answer:

in the right angle triangle,

p=15cm

b=8cm

[tex]h = \sqrt{15 {}^{2} + 8 {}^{2} } \\ = \sqrt{125 + 64} \\ = \sqrt{289} \\ = 17cm \\ sa = \pi \: rl + b \\ = \pi \: 8 \times 17 + \pi \: r {}^{2} \\ = 136\pi + 64\pi \\ = 200\pi[/tex]

Please help almost finisHHHH

Answers

Answer:

B. The y-coordinate is positive.

Step-by-step explanation:

Tina has 3 quarters, 1 dime, and 6 nickels in her pocket.
Find the probability of randomly drawing a nickel?

Answers

Answer:

60%

Step-by-step explanation:

Tina has 3 quarters, 1 dime, and 6 nickels, or 10 coins in total.

They are asking for the probability of drawing a nickel (6 in total). Divide 6 from the total amount of coins:

6/10 = 0.60, or 60%

Tina has a 60% chance of drawing a nickel from her pocket.

~

A 400g pack of couscous contains 116g of carbohydrate.
A 250g bag of maize flour contains 195g of carbohydrate.
A 1kg bag of wheat flour contains 640g of carbohydrate.
Use percentages to work out the amount of carbohydrates in each.​

Answers

Answer:

A: 70%   B: 64%

Step-by-step explanation:

Carl bought a stock for $56. He sold it a week later after its value had dropped below $30. How would you describe the size of Carl's loss

Answers

Answer:

greater than $ 26

Step-by-step explanation:

Price at which the share was bought = $56

The selling price of stock is below $30.

Therefore, the loss of carl would be greater than $56- $ 30 = $26

So, the size of loss of Carl any amount greater than $ 26.


Select the scenario that could be modeled by each of the given equations. For each equation, the variable c represents the cost and the variable n represents the number of items.

Answers

Answer:

c = 1.41n i think lol

Step-by-step explanation:

Answer:

The correct answers are these.

Step-by-step explanation:

I need help with this

3 (x - 4)= 2x + 6​

Answers

Answer:

x=18

Step-by-step explanation:

3(x-4)=2x+6

3x-12=2x+6

3x-2x=6+12

x=18

Answer:

[tex]3(x - 4) = 2x + 6 \\ 3x - 12 = 2x + 6 \\ 3x - 2x = 6 + 12 \\ x = 18[/tex]

Hope it helps!

Select the correct answer.
Consider the first four terms of the sequence below.

-3, -12, -48, -192, . . .

What is the 8th term of this sequence?

A.
-196,608
B.
-49,152
C.
-12,288
D.
-768

Answers

Answer:

D

Step-by-step explanation:

The value of 8th term of this sequence is,

⇒ a (8) = - 49,152

What is Geometric sequence?

An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.

Given that;

Consider the first four terms of the sequence are,

⇒ -3, -12, -48, -192, . . .

Here, Common ratio is,

⇒ - 12 / - 3

⇒ 4

Thus, The sequence are in Geometric sequence.

Hence, The value of 8th term of this sequence is,

⇒ a (8) = - 3 × (4)⁸⁻¹

⇒ a (8) = - 3 × 4⁷

⇒ a (8) = - 3 × 16,384

⇒ a (8) = - 49,152

Thus, The value of 8th term of this sequence is,

⇒ a (8) = - 49,152

Learn more about the geometric sequence visit:

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A city planner knows that the number of daily riders on the subway is expected to increase by 12% over the next year. If the current number of daily riders is represented by d,
which expression does NOT represent the expected number of daily riders next year?

A.d+0.12d
B. 1.12d
C. (1 + 0.12)d
D.0.12d

Answers

Answer:

Step-by-step explanation:

B

because it doesn’t start off or have 0.12 in the equation.

What shape is figure b?

Figure a is a half sphere and figure b is a cylinder.
cylinder
sphere
half sphere
cone

Answers

Answer is Cylinder :)

The solution is, Figure a is a half sphere and figure b is a cylinder.

What is shape?

In geometry, a shape can be defined as the form of an object or its outline, outer boundary or outer surface. Everything we see in the world around us has a shape.

here, we have,

from the given figure, we have,

the given shape has two parts,

the upper half is a half sphere.

Hemisphere includes the prefix hemi-, meaning "half". The northern and southern hemispheres are divided by the equator, the circle halfway between Earth's two poles. The eastern and western hemispheres aren't divided so exactly, since there are no poles in the Earth's east-west dimension.

and, the part b is a cylinder.

A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder.

Hence, The solution is, Figure a is a half sphere and figure b is a cylinder.

learn more on shape:

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A $60 shirt is on sale for 30% off. How much is the shirt's sale price?

Answers

Answer:39?

Step-by-step explanation:

You are the owner of the biggest and newest roller coaster called the Gentle Giant. The roller coaster costs $6 to ride. The operator of the ride must pay $200 per day for the ride rental and $65 per day for a safety inspection. If you want to make a profit of at least $1,000 each day, what is the minimum number of people that must ride the roller coaster? Write an inequality that can be used to find the minimum number of people, , which must ride the roller coaster each day to make the daily profit.

Answers

Answer:

Inequality: 6r - 200 - 65 [tex]\geq[/tex] 1000  and minimum of 211 people

Step-by-step explanation:

Let r = rides

6r - 200 - 65 [tex]\geq[/tex] 1000

6r - 265 [tex]\geq[/tex] 1000

6r [tex]\geq[/tex] 1265

r [tex]\geq[/tex] 210 [tex]\frac{5}{6}[/tex]

Needs 211 people to make a profit of at least $1000

Convert: :
23.7 cm =
mm

Answers

Answer:

237

Step-by-step explanation:

multiply the length value by 10

Answer:

237 mm

Step-by-step explanation:

Formula  

multiply the length value by 10

Help asap plssss......

Answers

Answer:

-3

Step-by-step explanation:

(-4)(6)/12

-24/12

= -2

it will be nice if I get brainiest

Which of these expressions is equivalent to −2(x−5) ?

Multiple choice question.

A)
−2x−5


B)
−2x+5


C)
−2x+10


D)
−2x−10
Plzs Help I give someone a brainliest

Answers

Answer:

C.

Step-by-step explanation:

-2(x - 5)

= -2*x - 2*-5

= -2x + 10.

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