A rectangular prism measures 7 & 1/2 cm by 12 cm by 15 & 1/2 cm. Calculate the number of cubes with edge length 1/2 cm that fit in this prism.

Answers

Answer 1

Answer: 8 cubes

Step-by-step explanation:

Volume of a rectangular prism is length × height × width

Length=7 1/2

Width= 15 1/2

Height=12

Volume of the prism is therefore:

7 1/2×12×15 1/2= 1395cm3

No of cubes with edge length 1/2 to fit into the prism will be:

Volume of cube is L*W*H

1/2*1/2*1/2= 1/8cm3

Therefore the no of cubes to fit into the Prism will be:

1395/(1/8)= 11160 cubes.

If one was stuck,the number of 1/2 edge length

cube to fit into 1cm will be:

1/(1/8)= 8 cubes


Related Questions

Find the product
(4)(-11) =

Answers

Answer:

4 X -11

-44

plz mark as brainliest

Answer:

-44

Step-by-step explanation:

Basically It's like 4x11, but you put a negative sign.

Which of these best describes rt?

A) The square root of the area of a circle

B) The ratio of the radius of a circle to its diameter

C) The radius of a circle times 3.14

D) The ratio of the circumference of a circle to its diameter

Answers

Answer:

uhhhh... i thinks its D or A

[tex] \underline{ \underline{ \text{Question}}} : [/tex]
In the adjoining figure , ABC is an isosceles triangle. BO and CO are the bisectors of [tex] \angle[/tex] ABC and [tex] \angle[/tex] ACB respectively. Prove that BOC is an isosceles triangle.

~Thanks in advance !

Answers

GiveN :-In the given figure , ABC is an isosceles triangle.BO and CO are the bisectors of [tex] \angle[/tex] ABC and [tex] \angle[/tex] ACB respectively.

To ProvE :-

∆ BOC is isosceles.

ProoF :-

Here it's given that ∆ABC is a isosceles triangle. We know that in a isosceles triangle opposite angles are equal. And the angles opposite to equal sides are also equal.

Hence here ,

AB = AC ∠ ABC = ∠ACB .

Figure :-

[tex] \setlength{\unitlength}{1 cm}\begin{picture}(12,12)\put(0,0){\line(1,0){4}}\put(4,0){\line(-1,2){2}}\put(0,0.001){\line(1,2){2}}\put(0,0.01){\line(1,1){2}}\put(3.99,0){\line(-1,1){2}}\put(0,-0.3){$\bf B $}\put(4,-0.3){$\bf C$}\put(2,4.2){$\bf A$}

\put(1.8,2.2){$\bf o$}\end{picture}[/tex]

If LaTeX doesn't work on app kindly see the attachment .

Here we will use a theorem which is ,

[tex]\large\underline{\underline{\textsf{\textbf{\red{\blue{$\leadsto$} Theorem :- }}}}}[/tex]

Sides opposite to equal angles are equal.

Hence here,

[tex]\tt:\implies \angle ABC =\angle ACB \\\\\tt:\implies \dfrac{1}{2}\times \angle ABC = \dfrac{1}{2}\times \angle ACB \\\\\tt:\implies \boxed{\bf \blue{\angle OBC = \angle OCB} }[/tex]

Now in ∆OBC , we can see that ∠OBC = ∠OCB. (just proved ) . Hence we can say that sides OB and OC are equal. Since the sides opposite to equal angles are equal. Therefore in ∆OBC , two sides are equal.

Therefore OBC is an isosceles triangle.

Hence Proved !

Answer:

See Below.

Step-by-step explanation:

We are given the isosceles triangle ΔABC. By the definition of isosceles triangles, this means that ∠ABC = ∠ACB.

Segments BO and CO bisects ∠ABC and ∠ACB.

And we want to prove that ΔBOC is an isosceles triangle.

Since BO and CO are the angle bisectors of ∠ABC and ∠ACB, respectively, it means that ∠ABO = ∠CBO and ∠ACO = ∠BCO.

And since ∠ABC = ∠ACB, this implies that:

∠ABO = ∠CBO =∠ACO = ∠BCO.

This is shown in the figure as each angle having only one tick mark, meaning that they are congruent.

So, we know that:

[tex]\angle ABC=\angle ACB[/tex]

∠ABC is the sum of the angles ∠ABO and ∠CBO. Likewise, ∠ACB is the sum of the angles ∠ACO and ∠BCO. Hence:

[tex]\angle ABO+\angle CBO =\angle ACO+\angle BCO[/tex]

Since ∠ABO =∠ACO, by substitution:

[tex]\angle ABO+\angle CBO =\angle ABO+\angle BCO[/tex]

Subtracting ∠ABO from both sides produces:

[tex]\angle CBO=\angle BCO[/tex]

So, we've proven that the two angles are congruent, thereby proving that ΔBOC is indeed an isosceles triangle.

Jasmine is studying the polynomial function f(x)=-x^2+8x+18. Which of the following statement(s) about this function are true?
I. The polynomial function will open down.
II. The polynomial function has a minima of (4, 34).
III. The polynomial function has two roots.
IV. The axis of symmetry of the function is x=–4.

A. I and IV
B. II and III
C. I and III
D. lII and IV

Answers

Answer is c I’m positive

Plz help !!!!!!!!!!!!!!!!!!

Answers

Answer:

i am sorry i do not understand ill try to look harder ill keep u updated

Step-by-step explanation:

The answer is D.
Cars cost 3 dollars you have to multiply 3 times 50
75 were the totals of cars AND trucks since cars are cheaper it has to be the bigger number and the biggest number is 50 and the rest it’s 25 so it had to be 3 x 50 = 150 5 x 25 It’s 125. The total amount they made was $275 and 150 plus 125 equals 275
Hope this helps

Work out the following and give your answer in it's simplest form:

[tex]\frac{9}{10}[/tex] ÷ [tex]\frac{3}{5}[/tex]
Plz help!!

Answers

Answer:

[tex]\frac{9}{10}[/tex] ÷ [tex]\frac{3}{5}[/tex]

=3/5

=1.5

here's your answer!! hopefully it's readable! have a great day :)

A relation is given below.
{(0, 0), (2, 0.5), (4, 1), (3, 1,5), (4, 2), (5, 1.5), (6, 8)}
Which ordered pair can be removed to make this relation a function?
Why would removing this ordered pair make the relation a function?

Answers

(4,1) can be taken out.

The input and output values cannot be the same.

Hope this helps!

Which option for college funding can parents start when children are still very young? College savings account scholarship work-study student loan

Answers

Answer:

Your answer would be A: "college savings account."

Step-by-step explanation:

Got it right on edge.

College savings account is the option  for college funding can parents start when children are still very young

What is College funding?

College financial aid pays for the difference between what a school costs to attend and the amount a family will pay from their own money.

We need to find Which option for college funding can parents start when children are still very young.

Among the two options we have to choose College savings account.

Through this savings plan, you can contribute more than a traditional savings plan and take out the money to pay for college-related expenses without any penalty or tax.

Hence College savings account option  for college funding can parents start when children are still very young

To learn more on College funding click:

https://brainly.com/question/18614442

#SPJ6

PLEASEEEEE HELP MEE will give brainliest

Answers

I'm not sure if it's correct...........

i dont know plz help

Answers

Your pictures aren’t loading so I can’t see it

Help me with this thing thanks anoarefi

Answers

Answer:

1. 8

2. 16

Step-by-step explanation:

8/4=2

64/4=16

Answer:

The answers are

1. x=8

2. x=16

The slope formula can be used to find the slope, m, of a line with points (L1, y1) and (22, 42).
Y2 - Yi
22 - 21
m
Which is an equivalent equation?
O Y1 = -m (22 – x1) + y2
yı = -m (x2 – 21) – Y2
Oyı = m (22 – 21) + y2
Oyı = m (22 – 21) – Y2

Answers

Answer: [tex](y-y_1)=m(x-x_1)\ or \ (y-y_2)=m(y-y_2)[/tex]

Step-by-step explanation:

Point slope form: [tex](y-b)=n(x-a)[/tex] , where n=slope , (a,b) is the point through which line passes.

If slope of the line = m and line passes through [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] :-

[tex](y-y_1)=m(x-x_1)\ or \ (y-y_2)=m(y-y_2)[/tex]

So, the equivalent equations are :

[tex](y-y_1)=m(x-x_1)\ or \ (y-y_2)=m(y-y_2)[/tex]

if 2/5 of a man's money is 4500. what is the total money​

Answers

Answer:

Total money= 11250

In attachment

So can someone just help me solve this and tell me which terms belong together....ty-

Answers

48, -5, 37, and 5 go together

Graph the line.
Y+4=1/5(x-1)

Answers

Answer:

graph the point (0, -5) and from that point go up 1 unit and to the right 5 units (5, -4) and plot that point; connect the two points

Step-by-step explanation:

Does (2, 3) make the equation y = x true?

Answers

Answer:

No.

Step-by-step explanation:

If you substitute x = 2 and y = 3 into the equation, you get 3 = 2 which is not true.

Katie and Sunnie both have 20-gallon fish tanks that are leaking water! After 15 minutes, Katie's tank has leaked 43 gallon. After 20 minutes, Sunnie's tank has leaked 34 gallon. Which tank is leaking faster?

Answers

Answer:

Katie's gallon

Step-by-step explanation:

Katie and Sunnie both have 20-gallon fish tanks that are leaking water!

For Katie

After 15 minutes, Katie's tank has leaked 4/3 gallon.

The rate of leakage =

4/3 gallon × 15 minutes

= 16

For sunny

After 20 minutes, Sunnie's tank has leaked 3/4 gallon.

Her rate is given as:

= 3/4 gallon × 20 minutes

= 15

Therefore,

The tank that is leaking faster is Katie's gallon

How do the terms light, radiation, and waves relate to one another?

Answers

Visible light is a form of radiation, which can be defined as an energy that travels in the form of electromagnetic waves.


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32 / 114 Marks
Expand and simplify 4(2x - 1) + 3(2x + 5)
F
AB
Type here to search

Answers

Step-by-step explanation:

4(2x-1)+3(2x+5)

8x-4+6x+15

8x+6x-4+15

14x+11

Answer:

14x +11

Step-by-step explanation:

4(2x-1)+3(2x+5)=8x-4+6x+15

=14x+11

Suppose you invest $2000 at a rate of 3.25% continuously, determine the worth of the investment after 10 years.

Answers

Answer:

$2650

Step-by-step explanation:

= 2000 × 0.0325 × 10 = 650

= $ 650.00

A computer normally costs
$650, but it is on sale for
15% off. What is the sale
price of the computer?

Answers

Answer:

$552.50

Step-by-step explanation:

650×.15=97.5

650-97.5=552.5

Justin has $57.18 in his checking account. He deposits his paycheck of $256.79. He then buys $68.42 in groceries, $50.00 in gas, and 2 movies for $15.58 each. What is the new balance in Justin’s checking account?

Answers

error please try again

I have a square with a side of 5.25 in. There is a circle inside this square that is big enough to touch all four sides. What is the area that is not inside the circle?

Answers

Answer:

5.9125in^2

Step-by-step explanation:

Step one:

Given data

Dimension of square= 5.25 in

Area of sqaure= 5.25^2= 27.5625  in^2

We are told that the sides of the circle touch the sides of the square

hence the diameter of the circle is 5.25in

radius= 5.25/2= 2.625 in

Area of  circle= πr^2

Area of circle = 3.142*2.625^2

Area of circle=3.142*6.890625

Area of circle= 21.65 in^2

Step two:

The area that is not inside the circle

=Area of square-Area of circle

=27.5625- 21.65

=5.9125in^2

Triangle ABC is similar to triangle DEF

Answers

Answer:

A my dude. good luck!!!!!

Answer:

A

Step-by-step explanation:

AC = 5

DF = 15

5 x 3 = 15

BC = 3

EF = 9

3 x 3 = 9

Do you see the pattern? So as you can see the difference between Triangle ABC and DEF is the multiply/divide 3 so if you want to find DE then you should set it up as:

[tex]\frac{4}{3}[/tex] = [tex]\frac{DE}{9}[/tex]  and to check if its right if you solve it you get [tex]\frac{4}{3}[/tex] = [tex]\frac{12}{9}[/tex]

and as you see [tex]\frac{12}{9}[/tex] and [tex]\frac{4}{3}[/tex] are literally the same thing just you need to simplify [tex]\frac{12}{9}[/tex]

PLEASE HELP ILL GIVE U BRAINLEST PLUS 50 POINTS IF U GET IT RIGHT

Answers

Answer:

3x^2-10x+1

I would explain it but i think you need the answer quick so.

Identify the correct Triangle Congruence Theorem that describes the figure below.



A. SSS
B. SAS
C. AAS
D. HL
E. ASA

Answers

[tex]\tt{PQ=TS }[/tex]

[tex]\tt{ PW=TW }[/tex]

[tex]\tt{ QW=SW }[/tex]

SO,

it is S-S-S

side-side-side

Kelvin finds a tile shaped like a triangle. He measures its angles to discover that it has two acute angles and one right angle. What type of triangle did Kelvin find obtuse triangle, acute triangle or right triangle?

Answers

Answer:

right triangle

Step-by-step explanation:

A Right triangle is a triangle that has one of its angle as 90°.

Since the triangular shaped tiles has a right angle, the kind of triangle Kevin found will be a right triangle.

A right triangle has two acute angles (angles less than 90°) and a right angle

Which of the following changes in a dilation? (Help fast please)
A. shape
B. slope
C. size
D. angle measures

Answers

Answer:

C. size

Step-by-step explanation:

A dilation does not change the shape of a figure, but it can change the size.

A furniture store is getting ready for a big sale and marking all their prices down by 45%. If one of their items is regularlly priced at $375, what is the sale price?​

Answers

Answer:

$206.25

Step-by-step explanation:

Regular price of item = R= $375

Price after 45% off = (1-0.45) x 375

                               =$ 206.25

A property dealer charges a commission of 2% on the first 25000 and 1.5 % on the remainder. What commission does he charge for selling a plot of land of 130000

Answers

Answer:

$2075

Step-by-step explanation:

commission = 0.02 x $25,000 = $500

The remainder = $130,000 - $25,000 = $105,000

Commission on the remainder = 0.015 x $105,000 = $1,575

Total commission = $1,575 + $500 = $2075

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