A diagram of a rectangular prism filled with unit cubes is shown below. Each unit cube has
side lengths measuring 1 foot.
What is the volume, in cubic feet, of the rectangular prism?
A. 12
B. 13
C. 54
D. 72
Answers
The volume of the rectangular prism filled with unit cubes each measuring the value of the length given is 72ft³.
Hence, Option D) 72ft³ is the correct answer.
Rectangular Prism and Cube
A rectangular prism is simply a three-dimensional solid shape with six faces which are rectangles.
The volume of a rectangular prism is expressed as;
V = l × w × h
Where l is length, w is width and h is height of the prism
A cube is a three-dimensional solid with six equal square-shaped sides.
Given the data in the question;
Length of the sides of the cube = 1 footLength of the rectangular prism l = 4 cubes × 1 foot = 4ftWidth of the rectangular prism w = 3 cubes × 1 foot = 3ftHeight of the rectangular prism l = 6 cubes × 1 foot = 6ftTo determine the volume of the rectangular prism, we substitute our given values into the expression above.
V = l × w × h
V = 4ft × 3ft × 6ft
V = 72ft³
Option D) 72ft³ is the correct answer.
Hence, the volume of the rectangular prism filled with unit cubes each measuring the value of the length given is 72ft³.
Related Questions
What will the equation be if f(x)= x^2 is translated 6 units left and 3 units up?
Answers
Answer:
f(x) = (x+6)^2 +3
Step-by-step explanation:
which expression is equivalent to c-10c +3c
Answers
Answer:
[tex]c-10c+3c=4c-10c=-6c[/tex]
Step-by-step explanation:
The expression which is equal to the given expression c - 10c + 3c will be -6c.
What is an expression?A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
An expression is a mathematical proof of the equality of two mathematical expressions.
As per the given expression,
c - 10c + 3c = c + 3c - 10c
= 4c - 10c
= -6c
Hence "The expression which is equal to the given expression c - 10c + 3c will be -6c".
To learn more about expression,
https://brainly.com/question/14083225
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I really need help. Can you please solve this
Answers
Determine the coordinate of the point where
2x+y=5 crosses the x-axis.
Answers
Answer:
(2.5, 0)
Step-by-step explanation:
The point in which a line crosses the x-axis is also known as the x- intercept. x-intercepts occur at y= 0, so let's substitute y= 0 into the equation and solve for x.
2x +y= 5
When y= 0,
2x +0= 5
2x= 5
Divide both sides by 2:
x= 2.5
Thus, the coordinate is (2.5, 0).
if rayonna buys 12 oranges for $4.56 at meijer how much would 20 oranges cost
Answers
Answer: $7.60
Step-by-step explanation:
$4.56/12 is 0.38 cents (Cost of each orange)
so $0.38 x 20 is $7.60
Answer:
$7.6
Step-by-step explanation:
Cost of 12 oranges=$4.56
Cost of 1 Orange= $4.56/12=$0.38
Cost of 20 oranges =20 × Cost of 1 orange=20×$0.38=$7.6
I hope it helped you
I think its A but wanted to be sure???
Answers
Answer:
Yes i agree with you!!!
Step-by-step explanation:
Answer:
it is A
Step-by-step explanation:
to solve just move (x,y) to (y,x) but change x to a negative and if already a negative it is a positive
Given:
p: student achieves 90 percent on the geometry final.
q: student will receive a passing grade in geometry class.
Which statement is logically equivalent to a - p?
O If a student achieves 90 percent on the geometry final, then the student will pass geometry class.
O If a student passes geometry class, then the student achieved 90 percent on the geometry final.
O If a student did not achieve 90 percent on the geometry final, then the student did not pass geometry class.
O If a student did not pass geometry class, then the student did not achieve 90 percent on the geometry final.
Answers
Answer: If a student achives 90% on geomerty final, then the student will pass geometry class
Step-by-step explanation:
sounds the most reasonable
Matt is putting a border around a right triangle and needs to figure out the triangle's height. If the triangle has a base length of 12 cm and a total area of 24 cm², what is the height?
Answers
Answer:
4 cm
Step-by-step explanation:
area of a triangle = 1/2 * base * height
24 = 1/2 12 * height
height = 4 cm
90 divded by 18
what is the answer
Answers
Answer:
Answer to your question is 5
Step-by-step explanation:
hope it helps(^-^)
What is the value of x in the equation 3x + 2 = 5x - 8?
Answers
Answer:5
Step-by-step explanation:
3(5)+2=17
5(5)-8=17
X=5
What’s 1+2842-40+7263-1000
Answers
Answer:
9,066 is your answer
Solve the system of equations:
y= 2x - 2
y= x2 - x-6
O A. (-1,-5) and (4,2)
O B. (0, -2) and (2, 2)
O C. (-1,-4) and (4, 6)
D. (-2,0) and (3,0)
Answers
Answer:
C) (-1, -4) and (4, 6)
Step-by-step explanation:
[tex]\textsf{Equation 1}:y=2x-2[/tex]
[tex]\textsf{Equation 2}:y=x^2-x-6[/tex]
Substitute Equation 1 into Equation 2 and solve for x:
[tex]\implies 2x-2=x^2-x-6[/tex]
[tex]\implies x^2-3x-4=0[/tex]
Find two numbers that multiply to -4 and sum to -3: -4 and 1
Rewrite the middle term as the sum of these two numbers:
[tex]\implies x^2-4x+x-4=0[/tex]
Factorize the first two terms and the last two terms separately:
[tex]\implies x(x-4)+1(x-4)=0[/tex]
Factor out the common term [tex](x-4)[/tex]:
[tex]\implies (x+1)(x-4)=0[/tex]
[tex]\implies (x+1)=0 \implies x=-1[/tex]
[tex]\implies (x-4)=0 \implies x=4[/tex]
Substitute the found values of x into Equation 1 and solve for y:
[tex]x=-1 \implies y=2(-1)-2=-4[/tex]
[tex]x=4 \implies y=2(4)-2=6[/tex]
Therefore, the solution to the system of equations is:
(-1, -4) and (4, 6)
For which of the following inequalities would you have to flip your sign?
(Select all that apply.)
a.
4x < 5x + 6
b.
-2x > 5
c.
4 - 12x < 3
d.
-3x < -5x - 1
Answers
Answer:
d. -3x <-5x-1
I thought it can help you
Write the equation of a line in point-slope form that passes through the point (4, -2) and has a slope of 5.
Answers
y = 5x - 22
[tex]\bold{EXPLANATIONS:}[/tex]
The first bricklayer can build a wall in 15 days, and the second bricklayer can build the same wall in 10 days How long will it take for them to build the wall together?
Answers
Answer:
It will take both of the brick layers twelve and half days
6 Days
Step-by-step explanation:
First you must find the combined rate of work per day between the two bricklayers.
(100/10)+(100/15) = 16 2/3
For each day the two bricklayers complete 16 2/3 percent of the work. To find out the amount of days it take them to build the wall you divide 16 2/3 from 100
100/16 2/3 = 6
The amount of days it take the two bricklayers to build the wall together is 6.
If you buy something for $3.84 how much change will you get back from $5.00?
Answers
Answer:
1.16
Step-by-step explanation:
Answer: you’d get $1.16
Step-by-step explanation: Simple. Do $5 and subtract 3.84 and you’d get $1.16 hope this helps. :)
A cone has a radius of 3 inches and a height of 18 inches what is the volume
Answers
Answer:
Step-by-step explanation:
Formula
V = (1/3) pi * r^2 * h Substitute the givens into the formula
Givens
V = ?
pi = 3.14
r = 3 in
h = 18 in
Solution
V = 1/3 * 3.14 * 3 * 3 * 18
V = 169.56
Answer
V = 169.56 in^2
A cone has a radius of 3 inches and a height of 18 inches what is the volume?
Explanation -:Given:
Radius of a cone = 3 inchesHeight of a cone = 18 inchesNeed to find :
Volume of a coneSolution :
We know,
[tex] \small\boxed{ \sf{ Volume_{(cone)} = \dfrac{1}{3} × π × {r}^{2} × h}}[/tex]
Where,
r stand for radiush stand for heightAssuming π as 3.14[tex] \small\rm Volume_{(cone)} = \dfrac{1}{\cancel{3}} × 3.14 × { \cancel3} × 3 × 18[/tex]
[tex] \small\rm Volume_{(cone)} = 3.14 × 3 × 18 = 169.56 \: inches[/tex]
Hence the volume of the cone is 169.56 inches.[tex] \rule{74mm}{8pt}[/tex]
1)
What is the volume of this rectangular prism? Type your answer in the box.
Use unit cubes to solve. Click the Unit Cube button below.
= 1 cubic unit
3 units
2 units
8 units
Answers
Answer: 48 units³
Step-by-step explanation:
Volume can be solved with V = L * W * H
V = L * W * H
V = 8 units * 2 units * 3 units
V = 48 units³
classify 8x³-9x the polynominal by its degree and number of term
Answers
Answer:
Degree: cubic
Number of terms: binomial
Step-by-step explanation:
Look at the exponents to find the degree. Biggest exponent is 3, third power, that's a cubic, like a cube.. 3D.
There's a plus separating the two terms...Two terms-that's the "bi-" in binomial, like a bicycle or bifocals or binational. The prefix "bi-" means two.
Which statement is not true about the data shown by the box plot below?
5 number summary: 23, 40, 55, 65, 79
A. The median of the data is 55.
B. The interquartile range is 55.
C. Three fourths of the data is less than 65.
D. The median of the upper half of the data is 65.
Reset Selection
Answers
Answer:
B. The interquartile range is 55
Step-by-step explanation:
the interquartile range is Q3 minus Q1, you would get 15 ,not 55. So B is the answer to your question
Answer:
B. The interquartile range is 55.
Step-by-step explanation:
In this problem, I refer to the right part of the box as the median of the upper half and the left part of the box as the median of the lower half.
The median of the data is going to be the middle line of the box and whisker plot. The middle line lies on 55, so the median is 55.
Choice A is true
The interquartile range is the right end of the box subtracted from the left end of the box. The right end of the box is 65. The left end of the box is 40. Subtracting the left end from the right end, we get 25.
Choice B is false
3/4 of the data will be where we see the right end of the box. The right end of the box is at 65. So, 3/4 of the data is less than 65.
Note: 1/4 of the data is less than the left side of the box at 40. 1/2 of the data is less than the median of the box which is at 55.
Choice C is true
The median of the upper half is the right end which is 65.
Note: The median of the lower half is 40.
Choice D is true
Guess the name of this war criminal
Answers
Answer: Is it posibley ... André Bloch
Step-by-step explanation:
Due to not a lot of information on this question i had to improvis and i got this man who in fact was a mathmaticion that had comitted a murder. It may ot be war crimies but war crimes include murder so yea.
Answer:
There is no information or picture regarding the question
A car travels xkm in 3 hours. How far will it travel in 9 hours?
Answers
Answer: 9X/3 km or divide it further
Step-by-step explanation:
Distance traveled = X
TIME = 3hours
Speed = X/3 km/hr
Distance in 9hours = X/3 × 9/1
The coordinates of a quadrilateral are (1,3), (7,-3), (1,-9), and (-5,-3). What shape is formed? Select all that apply. -Kite -Rectangle -Rhombus -Square -Trapezoid
Answers
Answer: Sqaure
Step-by-step explanation:
We obtain the figure by either plotting or finding the distances between the points:
[tex]\begin{aligned}&\text { Distance } b / w \quad A B =\sqrt{(1-7)^{2}+(3-(-3))^{2}}\\&=\sqrt{6^{2}+6^{2}}\\&A B=\sqrt{72} \text { units }\end{aligned}[/tex]
[tex]\text { Distance } b / w \quad BC =\sqrt{(7-1)^{2}+(-3-(-9))^{2}} \\BC=\sqrt{72} \text { units }[/tex]
[tex]\begin{aligned}\text { Distance } b / w \ C D &=\sqrt{(1-(-5))^{2}+(-9-(-3))^{2}} \\C D=\sqrt{72} \text { units }\end{aligned}[/tex]
[tex]$$ Distance $b/w \ A D=\sqrt{(1-(-5))^{2}+(3(-3))^{2}}$A D=\sqrt{72} \text { units }[/tex]
Since all the distances of the four sides are equal, we have to check if the shape is either a rhombus or a square by the measuring the length of the diagonals
[tex]\begin{aligned}A C &=\sqrt{(1-1)^{2}+(3-(-9))^{2}} \\&=\sqrt{12^{2}} \\A C &=12 \text { units } \\B D &=\sqrt{(7-(-5))^{2}+(-3-(-3))^{2}} \\&=\sqrt{12^{2}} \\A C &=12 \text { units }\end{aligned}[/tex]
The diagonals are also equal; therefore, the figure is a square
PLEASE HELP MEEE PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answers
split the prism into two rectangle, one 5ft by 3ft and one 3ft by 2ft
multiple 5 and 3 to find the area of the first rectangle
5x3=15
then multiple 3 and 2 to find the area of the second rectangle
3x2=6
add up 15 and 6 to find the area of the total figure
your answer should be 21
hope this helped!!
f(x)= 6x-7 g(x)=6x+7, f(g(x))= and g(f(x))=
Answers
30 POINTS! The question is in the image!
Answer choices:
8, 4, 7, 9
Answers
EF = 7ft
[tex]\bold{EXPLANATIONS:}[/tex]
This soup can has deiameter of 7 centimeters and a height of 10 centimeters the total surface is what
Answers
Answer:
Step-by-step explanation:
Formula
SA = 2*pi r^2 + 2*pi * r * h
Givens
pi = 3.14
r = d/2 radius = diameter /2
r = 7/2 = 3.5
h = 10 cm
Solution
SA = 2*3.14 *3.5^2 + 2*3.14 * 3.5 * 10
SA = 76.93 + 219.8
SA = 296.73 cm^2
Answer
Surface Area = 296.73 cm^2
30 POINTS!
Find x if ∠m1 = 2x + 10 and m∠2 = 3x - 6
Answer choices:
42, 24, 4, 16
Answers
Answer: 16
Step-by-step explanation:
Solve ABCD. Round the answers to the nearest hundredth.
A. MZD=69, BC = 16.8, CD = 6.45
B. mD=159, BC = 16.8, CD = 6.45
C. MZD= 69, BC = 6.45, CD = 16.8
D. MZD= 159, BC = 6.45, CD = 16.8
-
Answers
Answer:
Step-by-step explanation:
a
The sum of two numbers is 85. The second number is 4 more than 2 times the first number. Let x represent the first number and let y represent the second number. What are the two numbers? Use the table to guess and check.
Numbers
x
y
x + y = 85
y = 2 x + 4
19 and 65
25 and 60
27 and 58
32 and 53
Answers
x + y = 85, so x = 85 - y
Let’s substitute this in the second equation
y = 2(85 - y) + 4
y= 170 - 2y + 4
3y = 174
y = 58
x = 85 - 58 = 27
[third option from the top]
Answer:c
Step-by-step explanation: took the test