Ron and Freddy built structures out of snap cubes. Ron's tower had an 8-inch square base. Freddy had a 6-inch square base. If Ron's tower had a volume of 320 cubic inches and Freddy's had a volume of 180 cubic inches, Whose tower was taller? Explain your reasoning.

Answers

Answer 1

Answer: Ron tower's

Step-by-step explanation:

Given

Ron tower has a base of [tex]A_r=8\ in.^2[/tex]

Freddy tower has a base of [tex]A_f=6\ in.^2[/tex]

Suppose the tower is in the shape of a square prism

The volume of Ron and Freddy tower is [tex]320\ \text{and}\ 180\ in.^3[/tex]

The volume of a square-based prism is  [tex]V=\frac{1}{3}a^2h[/tex]

[tex]\therefore \text{height of Ron tower is}\ h_r=\dfrac{3V}{A_r}\\\\\Rightarrow h_r=\dfrac{3\times 320}{8}=120\ in.[/tex]

The height of Freddy tower is

[tex]\Rightarrow h_f=\dfrac{3V}{A_f}\\\\\Rightarrow h_f=\dfrac{3\times 180}{6}=90\ in.[/tex]

Thus, the height of Ron's tower is  more than Freddy's tower by [tex]30\ in.[/tex]


Related Questions

solve for x, round to tenth

Answers

Answer:11.6

Step-by-step explanation:

Ms. Etienne deposited $450 into an account that paid 5% interest compounded annually. She did not make any
additional deposits or withdrawals.
Which amount is closest to the value of the account at the end of 6 years?
A $603.04
B $585.00
© $463.67
o
$463.50

Answers

Answer:

$603.04

Step-by-step explanation:

The Compound Amout formula is A = P(1 + r)^t, where:

P is the principal (initial deposit), r is the annual interest rate as a decimal fraction, and t is the time period in years.

In this particular case, the Compound Amount is:

A  = ($450)(1 + 0. 05)^6 = ($450)(1.34) = $603.04

Point C (3,6, -0,4) divides AB in the ratio 3:2. If the coordinates of point B are. If point D divides CB in the ratio 4:5, the coordinates of point D are

Answers

Answer:

B = (10, -4),  D = (58/9, -2)

Step-by-step explanation:

Point C(3.6, -0.4) divides in the ratio 3 : 2. If the coordinates of A are (-6, 5), the coordinates of point B are ___ . If point D divides in the ratio 4 : 5, the coordinates of point D are ___ .

Solution:

If point O(x, y) divides line segment AB with endpoints at A(x₁, y₁) and B(x₂, y₂) in the ratio n:m, then:

[tex]x=\frac{n}{n+m}(x_2-x_1)+x_1 ;\ y=\frac{n}{n+m}(y_2-y_1)+y_1[/tex]

Since point C divides AB in the ratio 3:2. Let the coordinates of B be (x₂, y₂). Hence:

[tex]3.6=\frac{3}{3+2}(x_2-(-6))-6\\\\9.6=\frac{3}{5}(x_2+6) \\\\x_2+6=16\\\\x_2=10\\\\\\-0.4=\frac{3}{3+2}(y_2-5)+5\\\\-5.4=\frac{3}{5}(y_2-5) \\\\y_2-5=-9\\\\y_2=-4[/tex]

B = (10, -4)

D divides CB in the ratio 4:5. Let D = (x, y). Hence:

[tex]x=\frac{4}{4+5}(10-3.6)+3.6 \\\\x=\frac{58}{9} \\\\\\y=\frac{4}{4+5}(-4-(-0.4))+(-0.4)\\\\y=-2[/tex]

Hence D = (58/9, -2)

find the value of x 140° 80° 5 X°​

Answers

2.44346x is 140 80 is 1.39626 5x is is an incomplete math problem

Jada is taller than Diego. Diego is 54 inches tall (4 feet, 6 inches). Write an inequality that compares Jada's height in inches, j, to Diego's height.

Answers

Answer:

j>54

Step-by-step explanation:

I don't have a step by step explanation but i hope this helps!!!

Plz help will mark brainlest if right

Answers

The first arrow diagram, A, represents this relation.

To keep the image in proportion what do you have to do?

Answers

Answer:

Press shift while you drag a corner handle to prevent stretching and keep your picture in proportion. Don't drag from any of the side handles; this will distort the picture even if you do press Shift!

Step-by-step explanation:

how do you multiply ​

Answers

Answer:

lets say you where multiplying by 2

2+ 2=4 so that would mean 2x2 is 4

and so on and so on

Step-by-step explanation:

ok so an equation like 2x3 is the same as 2+2+2.

The drama club is printing T-shirts for its members. The printing company charges a certain amount for each shirt, plus a setup fee of $40. There are 21 students in the drama club.


If the T-shirt order costs a total of $187, how much does each T-shirt cost?

Answers

The answer would be 7 dollars per shirt.

187-40(the setup fee) equals 147. 147 divided by 21(amount of students) equals 7. I hope this helps.


Based on the diagram, which expresses all possible
lengths of segment AB?

A. AB = 25
B. 27 < AB <81
C. AB = 85
D. AB < 27 or AB > 81

Answers

Answer:

B

Step-by-step explanation:

Given 2 sides of a triangle then the third side is in the range

difference of 2 sides < AB < sum of 2 sides , that is

54 - 27 < AB < 54 + 27

27 < AB < 81 → B

David used the computer a total of 45 hours last week. How
many more did David use the computer to play games than to do
homework?

Answers

DO NOT GO TO THAT LINK IT IS A VIRUS

h/6-1=-3 Please help me with this math problem.

Answers

Answer:

[tex]h=-15[/tex]

Step-by-step explanation:

[tex]\frac{h}{6-1}=-3[/tex]

Simplify:

[tex]\frac{1}{5} h=-3[/tex]

Multiply both sides by 5:

[tex]5\times(\frac{1}{5}h)=(5)\times(-3)\\h=-15[/tex]

h = -15 is your final answer.

Answer:

h = -15

Step-by-step explanation:

[tex] \frac{h}{6 - 1} = - 3 \\ \: \: \: \: \: \: \frac{h}{5} = - 3 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: h = 5 \times ( - 3) \\ \: \: \: \: \: \: \: \: \: h = - 15[/tex]

2. Given the points (-3,0) and (3,0), write a possible equation for a quadratic function in factored form.​

Answers

9514 1404 393

Answer:

  y = (x +3)(x -3)

Step-by-step explanation:

If p is a zero of a polynomial, then (x -p) is a factor. The given zeros are -3 and 3, so the factors are (x -(-3)) and (x -3). Then the factored form of the equation can be ...

  y = (x +3)(x -3)

Find the distance between the points (-1,4) and (2,4).

Answers

Answer:

3

Step-by-step explanation:

please help me figure out the volume c;

Answers

Answer:

V=L×W×H

Step-by-step explanation:

V=4×3×5

V=60 inches Cubed

I need help with my hw will give braniest to best explanation ​

Answers

Answer:

I can help you. What subject is it?

Step-by-step explanation:

The volume of a 3 cm cube is
O 9 cu cm
O 12 cu cm
O 6 cu cm
O 27 cu cm

Answers

it would be b. 12 cu cm
It’s 12 cu cm it’s really east think of it in half

Question in pic! help ASAP! will give brainliest!

Answers

Answer:

It is Option #1

Answer:

4 (x - 5)

4x - 20

Hope that helps!

-Sabrina

Step-by-step explanation:

I also give brainliest on this, help please is for today ​

Answers

Step-by-step explanation:

[tex] \frac{42}{14} = \frac{x}{12} \\ x = \frac{42 \times 12}{14} \\ x = \frac{504}{14} \\ x = 36[/tex]

#CMIIW

Simplify the question

Answers

Answer:

The answer is 17x^2 + 4x - 2

if you click the image it will give you a better look at the answer just in case. Hope's this helps :)

Can someone help me please I will give brainleast just please help me out

Answers

Question 5

Flat fee = $6

Question 6

The group should charge $65 for 15 bags of leaves.

Question 7

The relationship between the amount charged and the number of bags filled is linear.

A line intersects the point (3,-4) and has a slope of 17. What is the slope-intercept equation for this line? y = 17x + [?]​

Answers

We can plug in the values of this point to find b
-4 = 17 (3) +b
We will multiply 17 times 3
-4 = 51 + b
We then subtract by 51 on both sides
-55 = b
So the full equation will be
y = 17x - 55
The full equation would be y = 17x - 55

A football field measures at 100 yards with 2 end zones. There are 2 end zones. Each end-zone is 10 yards long. What is the total length of the football field in feet?

Answers

Answer:

360 feet.

Step-by-step explanation:

If there are 2 end zones each measuring 10 yards long then that means that both together measure 20 yards long. We add this to the 100 yards of the field and we get a total length of 120 yards. Now we can simply turn this into feet, we know that ...

1 yard = 3 feet

120 yards = x feet

120 * 3 = x

360 feet = x

Finally, we can see that the length of the football field is 360 feet.

Help please, I'm stuck on this

Answers

An swer:

d

Step-by- step explana tion:

which expression has the least value when x=100?
A.1/x
b.10/x
c.1-x
D 10-x​

Answers

Answer:

C

Step-by-step explanation:

C will have the least value with -99.

A would be 1/100, which is 0.01, which is small, but larger than -99.

B would be 10/100, which is 0.1, which is larger than A.

C is 1-100, which equals -99.

D is 10-100, which equals -90. -99 is smaller than -90.

Answer:

c) 1 - x

Step-by-step explanation:

x = 100

a) [tex]\frac{1}{x}[/tex] ⇒ [tex]\frac{1}{100}[/tex]

answer ⇒ 0.01

b) [tex]\frac{10}{x}[/tex] ⇒ [tex]\frac{10}{100}[/tex]

answer ⇒ 0.10

c) 1 - x ⇒ 1 - 100

answer ⇒ -99

d) 10 - x ⇒ 10 - 100

answer ⇒ -90

There are 12 female performers in a dance recital. The ratio of men to women is 2:3. How many men are in
the dance recital?

Answers

Answer:

8 men

Step-by-step explanation:

2 is men   3 is women

8 is men   12 is women

PLEASE ANSWER QUICKLY!
Decorative glass balls are being stored in a box. Each ball has a radius of 213 cm.

How many balls will fit in each layer of a box that is 20 cm by 15 cm?


A.) 7 balls

B.) 12 balls

C.) 48 balls

Answers

Answer:

2/3

Step-by-step explanation:

Answer:

B.) 12 balls

Step-by-step explanation:

i took the test on k-12!

Find the shaded area. Round to the nearest tenth if necessary. 22 mm 18 mm 9 mm​

Answers

Answer:

please send the figure.

Plz helpp:( which statement is true?

Answers

I think it’s c sorry if you get It wrong

What is the value of x?
(3x + 10°
(4x + 2)°
77°
34

Answers

Answer:

I don't know.  I don't see any equal sign

Step-by-step explanation:

(3x + 10°   =  3x + 1

(4x + 2)°   =  1

77°           =  1

34            = 34

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