The diagram shows a solid metal cuboid.
The areas of three of the faces are marked on
the diagram.
The lengths, in cm, of the edges of the cuboid
are whole numbers.
The metal cuboid is melted and made into cubes.
Each of the cubes has sides of length 2.5 cm.
Work out the greatest number of these cubes that can be made.
You must show your working.
Answers
Answer:
6 cubes
Step-by-step explanation:
Considering the given cuboid, it can be deduced that;
length of the cuboid = 7 cm
width of the cuboid = 3 cm
height of the cuboid = 5 cm
Thus,
volume of the cuboid = length x width x height
= 7 x 3 x 5
= 105 cubic centimetres
The cubes has sides of length 2.5 cm.
volume of each cube = length x width x height
= 2.5 x 2.5 x 2.5
= 15.625 cubic centimetres
The greatest number of cubes that can be made = [tex]\frac{105}{15.625}[/tex]
= 6.72
The greatest number of cubes that can be made from the cuboid is 6.
Related Questions
If the area of a triangle with a base measuring 22 feet is 93.5 square feet, find its height.
Answers
Answer:
height = 8.5 feet
Step-by-step explanation:
Area of a triangle formula:
a=1/2bh
substitute what's given
93.5 = (1/2)22h
93.5=11h
divide both sides by 11 to isolate h
h=8.5 ft
what two number multiply to make -36 as well as add to make 16
Answers
-12 x 3 = -36
-6 x 6 = 36
-8 x 2 = -16
-4 x 4 = -16
Find the area of the polygon.
Answers
Answer: use formulas for area of square/triangle
Step-by-step explanation:
1st one is a rhombus so use A= BH
which is 5x4 = 20
2nd one is a kite
i assume you have not learnt the formula for kites so u can use triangles (A=1/2BH)
triangle CBA: 1/2 x (6+6)(2) = 12
triangle ACD: 1/2 x (6+6)(10)= 60
area = 12 + 60 = 72
Four equal triangles inside a polygon, so we have to find an area of one triangle and multiply that area with four since there are four triangles in total.
base is 5, height is 4. area of triangle formula: A = (bh) / 2 = (5x4) / 2 = 20 / 2 = 1010 x 4 = 40 (b/c there are four equal triangles)40 square units is the area of green/second polygon________________________________________________________
teal/second polygon:Two equal triangles and another two (different) equal triangles, so we have to find an area of a smaller triangle and multiply that area with two since there are two equal smaller triangles.
Then we have to find an area of a larger triangle and multiply that area with two since there are two larger equal triangles.
(smaller triangle)base is 6, height is 2. area of triangle formula: A = (bh) / 2 = (6x2) / 2 = 12 / 2 = 66 x 2 = 12 (b/c there are two equal smaller triangles)12 square units of the area of two equal smaller triangles (so we're not done yet!)------------------------------------------------------------
(larger triangle)base is 10, height is 6. area of triangle formula: A = (bh) / 2 = (10x6) / 2 = 60 / 2 = 3030 x 2 = 60 (b/c there are two equal larger triangles)60 square units of the area of two equal larger triangles12 + 60 = 72
72 square units is the area of teal/second polygon.
Martha ran 310 meters during P. E. class today. How many centimeters did Martha run?
Answers
Answer:
31000
Step-by-step explanation:
hope this helps :)
Answer:
31000
Step-by-step explanation:
Will give brainiest for correct answer, but i am really behind in work right now
Answers
Answer:
here the ans
hope it is helpful to u.. mrk it as brainliest if is helps u
Answer:
so you can mark the other guy brainliest, he deserves it :)
Step-by-step explanation:
Lindsay infers that out of 400 people,300 would prefer to watch movies in a theater. Is her inference valid?
Answers
Streaming: 62
DVD: 8
( this information was given in a table but I couldn't do that here)
Please mark brainliest
Please help! The question and answer choices are attached.
Answers
(3+7i)+(-5+2i)-(-7+6i)
Answers
please help! it’s 9:00 and i just want to be done...
Answers
Answer:
Step-by-step explanation:
1. 3/7
2. 1/5
3. 7 and 21
Answer:
1) 3/4
2) 1/5
3) 7 and 21
4) 9 tokens a day
5) 6 laps a week
standard form 2.975 x 10-7-
Answers
Michael needs at least $200 to buy airpods. He already has $50. If he saves $15 each week, how many weeks will it take for Michael to reach his goal? Write and solve an inequality.
Answers
Answer:
it will take him 3 weeks to reach is goal.
Step-by-step explanation:
if michael needs $200 and he already has 50 then 200-50 is 150. then you divide 150 divided by 15 to get 3
hopethis helped.
kyle starts with $15.00 and saves 3.50each day. which expression reprensets the total amount kyle saves?
Answers
3.5x+15
Step-by-step explanation:
Instant Meals sent out free samples to introduce its new product, Sesame soup. Each sample weighs 69 g. The post office charges thirty-six cents for every 23 g of weight. How much would Instant Meals spend on postage to mail out one hundred eighty-eight samples?
Answers
Answer:
$203.04
Step-by-step explanation:
The computation is shown below:
23 ounces to be $0.36
And,
69 ounces be x
So here x
= (69 ounces × $0.36) ÷ 23 ounces
= $1.08
Since there is 188 samples, so the total value is
= $1.08 × 188
= $203.04
5. A water tank is in the shape of a right circular cylinder with a height of 20 feet and a volume of 320pi cubic feet. What is the diameter, in feet, of the water tank?
Answers
Answer:
8 ft.
Step-by-step explanation:
V = Bh B = area of the base h = height
The base is a circle, so [tex]B = \pi r^{2}[/tex]
320π = [tex]\pi r^{2} (20) = 20\pi r^{2}[/tex]
[tex]r^{2} = \frac{320\pi }{20\pi } = 16[/tex]
r = 4
d = 8 ft.
sovle????
10x + 15 =
Answers
Answer:
x=3
Step-by-step explanation:
10x - 15 = 15
10x = 15 + 15
10x = 30 (divide both sides by 10 to get x)
10x/10 = 30/10
x = 3
Solution:
-Group like terms on one side of the equal sign and once they cross the equal sign,the polarity changes
10x= - 15
- divide both sides by the number that x is carrying
10x/10 = -15/10
X= - 1.5
Convert the fraction into a percentage.
3 = %
(Enter number as a whole number without the percentage sign.)
Pls help me
Answers
Answer:
75%
Step-by-step explanation:
3 is 75 the way to 4 so it would be 75%
50 points!
-]Kala’s fish tank has 16 liters of water in it. She plans to add 4 liters per minute until the tank has more than 36 liters. What are the possible numbers of minutes Kala could add water?
-]Use t for the number of minutes.
-]Write your answer as an inequality solved for t.
Answers
Answer:
I will ask a freind if they know
Step-by-step explanation:
Answer:
t > 5
Step-by-step explanation:
Time : liters
[tex]\left[\begin{array}{ccc}0&16\\1&20\\2&24\\3&28\\4&32\\5&36\\6&40\end{array}\right][/tex]
We can see using the table that at 5 minutes, there would be 36 liters of water in the tank. Since Kala is going to keep filling the tank until there is more than 36 liters, the inequality would be t > 5.
which is the equation of a hyperbola centered at the origin with focus ( 0,4) and vertex (0,sqaure root 12)
Answers
Answer:
the equation of the hyperbola is y^2/12-x^2/4=1
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The ans above is A
En el transcurso del 2015 – 2018 visitaron alrededor de 8700 turistas la playa, de los cuales el 35,10% fueron Extranjeros y el 64,9% fueron nacionales. ¿Cuántos turistas fueron extranjeros y cuantos nacionales?
Answers
Answer:
Los turistas extranjeros fueron 3054 y los turistas nacionales fueron 5646.
Step-by-step explanation:
De acuerdo a la información proporcionada, debes calcular el 35,10% del total de turistas para determinar el número de turistas extranjeros y el 64,9% del total de turistas para encontrar el número de turistas nacionales:
8700*35,10%=3054
8700*64,9%=5646
De acuerdo a esto, la respuesta es que los turistas extranjeros fueron 3054 y los turistas nacionales fueron 5646.
How do snakes get their energy in this food web? A) By consuming toads and mice B) By consuming deer and raccoons C) By consuming grass and deer D) None of the above
Answers
If one guppy requires 5L of water to live happily, what is the maximum number of gubbies that should be kept in his aquafrium
Answers
What is an equation of a circle whose center is (1,4) and diameter is 10?
Question options:
x2 − 2x + y2 − 8y = 83
x2 − 2x + y2 − 8y = 8
x2 + 2x + y2 + 8y = 8
x2 + 2x + y2 + 8y = 83
Answers
Answer:
[tex]x^{2} - 2x + y^{2} - 8y = 8[/tex]
Step-by-step explanation:
Standard form for a circle is:
[tex](x - h)^{2} + (y - k)^{2} = r^{2}[/tex] (h, k) is the center r is the radius
[tex](x - 1)^{2} + (y - 4)^{2} = 5^{2} \\x^{2} - 2x + 1 +y^{2} - 8y + 16 = 25\\x^{2} - 2x + y^{2} - 8y = 8[/tex][tex]x^{2} - 2x + y^{2} - 8y = 8[/tex]
HELP QUICK PLEASE I BEG Grace invested $14985 in an account paying an interest rate of 9% compounded
monthly. Assuming no deposits or withdrawals are made, how much money, to the
nearest cent, would be in the account after 3 years? (Do not use commas in your
answer)
PLEASE HELP QUICK
Answers
i think
take the og number times the percent then that times three and add it to the original number (sorry if that’s not right that’s just how i would do it)
Find the area of the trapezoid.
Answers
Answer:
A 303.66
Step-by-step explanation:
b1+b2÷2×h is the formula.
So step by step.
29.2+19=48.2
48.2÷2=24.1
24.1×12.6=303.66
The area of a trapezoid is 303.66 square in having a height of 12.6 in and its long and short bases are 29.2 in and 19 in respectively.
It is given that the trapezoid has a height of 12.6 in and its sides 19 in, 29.2 in, and 14.5 in respectively.
It is required to find the area of a trapezoid.
What is a trapezoid?It is defined as the quadrilateral having a four-sided closed shape with two sides parallel to each other.
We know the formula for the area of a trapezoid:
[tex]\rm Area = \frac{a+b}{2} \times h[/tex] Where 'a' is the long base, 'b' is the short base and 'h' is the height.
We have a = 29.2 in
b = 19 in
h = 12.6
By putting these values in the formula, we get:
[tex]\rm=\frac{a+b}{2} \times h\\\\=\frac{29.2+19}{2} \times 12.6\\\\=\rm \frac{48.2}{2} \times 12.6\\\\\rm= 24.1 \times 12.6\\\\\rm= 303.66 \ in^2[/tex]
Thus, the area of a trapezoid is 303.66 square in having a height of 12.6 in and its long and short bases are 29.2 in and 19 in respectively.
Learn more about the trapezoid here:
https://brainly.com/question/4758162
Darnell and Hector ride their bikes at constant speeds. Darnell leaves Hector’s house to bike home. He can bike the 8 miles in 32 minutes. Five minutes after Darnell leaves, Hector realizes that Darnell left his phone. Hector rides to catch up. He can ride to Darnell’s house in 24 minutes. Assuming they bike the same path, write the liner equation that represents darnells constant speed
Answers
9514 1404 393
Answer:
s = (8 mi)/(24 min/(60 min/h))
Step-by-step explanation:
Let s represent Darnell's constant speed. We know that speed, distance, and time have the relationship ...
speed = distance/time
Darnell's speed in miles per hour is ...
s = (8 mi)/(24 min/(60 min/h)) . . . . equation representing Darnell's speed
_____
This simplifies to ...
s = 20 mi/h
Name each angle in four ways
Answers
Step-by-step explanation:
acute and obtuse.......
hope this will help you....
Identify the inverse operation:r/4
Answers
Answer:
The inverse of this expression is the multiplication of 4. Answer: 4r, or 4 times r
Step-by-step explanation:
So first off, multiplication is the inverse of division, therefore, dividing r by 4 is the inverse of multiplying r by 4, so the answer is 4r.
Help and I will give brainliest
Don’t answer part a and part b
Answers
WILL GIVE BRAINLIEST
Answers
Answer:
They only intersect once. (Correct letter is B)
Step-by-step explanation:
Slope Intercept Form:
2x - 4y = 3
-2x -2x
________
-4y = -2x + 3
Switch the signs of all of the numerals since you cannot have a negative 'y' value.
4y = 2x - 3
---- ---------
4 4
y= 1/2x - 3/4
-----------------------------------------------------------------------------------------------------------------
7y - 5x = 8
+5x +5x
----------------
7y = 5x + 8
---- ---------
7 7
y= 5/7x + 1 1/7
-----------------------------------------------------------------------------------------------------------------
After graphing the lines, you then can see that the lines only ever intersect once.
Complete the table.
f(y) = 4y2 - 4v
f(v
-4
-3
-2
-1
Answers
Answer:
f(y) = 4y2 - 4v
f(y) = 4y² - 4(-4) = 4y² + 16
f(y) = 4y² - 4(-3) = 4y² + 12
f(y) = 4y² - 4(-2) =4y² + 8
f(y) = 4y² - 4(-1) = 4y² + 4
Step-by-step explanation:
