In the figure, each cube has a volume of 1 cubic unit. Find the volume of the figure and the area of its base.
A rectangular prism is made up of cubes. The length of the prism is 4 units, width is 3 units, and height is 3 units.
Answers
Answer:
the volume is 36 and the area of its base is 12
Step-by-step explanation:
volume = 4x3x3 = 36
area of base = 4x3=12 (do not include height)
The area of the base and the volume of the prism are 24 cubic units and 8 square units.
To find the volume of the rectangular prism, you can multiply its length, width, and height together.
In this case, the length is 4 units, the width is 2 units, and the height is 3 units.
Volume = Length x Width x Height
Volume = 4 units x 3 units x 3 units
Volume = 24 cubic units
Therefore, the volume of the rectangular prism is 36 cubic units.
To find the area of the base, you need to consider that the base is a rectangle with a length of 4 units and a width of 3 units.
Area of the Base = Length x Width
Area of the Base = 4 units x 2 units
Area of the Base = 8 square units
Therefore, the area of the base of the rectangular prism is 12 square units.
Hence the area of the base and the volume of the prism are 24 cubic units and 8 square units.
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Related Questions
Match the expression to its simplified form.
25
125
2-4
32
53
716
5-2
125
Answers
2^-4 = 1/16
5^3 = 125
5^-2 = 1/25
^ means exponent
I don’t know why you needed help this is easy
Answer:
a
Step-by-step explanation:
just did test
Work out the area of this circle
Answers
Answer:
area = 25.136
Step-by-step explanation:
to find the area of a circle, you use the formula v=pi times the radius squared
Based on the scatterplot and residual plot, is a linear
model appropriate for the growth of stock price?
A small technology company started offering shares of
stock to investors in 1987. At that time, the price of
one share of stock was $0.39. Since then, the
company has experienced rapid growth. Twenty-two
years later, the price of a single share of stock has
risen to over $110. The scatterplot shows the number
of years since the initial stock offering in 1987 and the
price of the stock.
O Alinear model is appropriate because the
regression line fits the scatterplot well.
O Alinear model is not appropriate because the
residual plot is centered about zero.
Alinear model is not appropriate because the
residual plot shows a clear pattern
Alinear model is not appropriate because the
scatterplot shows a clear pattern
Stock Prices vs. Years Since 1987
120
110
100
90
80
tock Price (Dollars)
60
20
Answers
Answer:
C
Step-by-step explanation:
These scatterplots show that model type A is best suited to summarize the relationship between year and stock price. The scatterplot of the processed data is nearly linear, so a linear model is suitable.
What is the Scatter plot?The variables in the scatter plot made from the data are described by the independent variable, time, which is graphed along the horizontal axis.
A linear model is applicable if we can create a linear equation based on the connection between the independent and dependent variables (because there is no constant rate of change).
These scatterplots show that model type A is best suited to summarize the relationship between year and stock price. The scatterplot of the processed data is nearly linear, so a linear model is suitable.
Thus, despite its being curved, a linear model is adequate for this time and price scatterplot.
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If a woman making $25 an hour gets a
10% raise, how much will she now
make in an 8-hour workday?
Answers
Step-by-step explanation:
She gets $220 in an 8 hour work day.
Given: EJ is an altitude of ADEF ?
Answers
Answer:
EEEEEEEEEEEEEEEEEE
Step-by-step explanation:
Write an equation in paint-slope form of the line that passes through the point (3, 5) and has a slope of m = - 1
Answers
9514 1404 393
Answer:
y -5 = -(x -3)
Step-by-step explanation:
The point-slope form of the equation of a line with slope m through point (h, k) is ...
y -k = m(x -h)
For m=-1 and (h, k) = (3, 5), the equation of the line is ...
y -5 = -(x -3)
Answer:
y-5=-1(x-3)
Step-by-step explanation:
Point slope form: y-y1=m(x-x1)
11. Solve the system of Equations
5x + 2y = -18
-3x + 7y = 19
Solve for X and Solve for y
Answers
Answer:
(x,y)= (-4,1)
Step-by-step explanation:
sub the given value of x into the equation -3x+7y=19
solve for y
sub the given value of y into the equation
THIS IS FOR SUBSTITUTION METHOD
4n - 3d + 8n - 3d simplified
A. 12n + 6d
B. 12n - 6d
C. 12n
Answers
4n+8n=12n
-3d+-3d=-6d
B.12n-6d
CASLAN UR HERE 56+6x567890-9
Answers
Answer: 35, 209, 171
Step-by-step explanation: hope i helped
Answer:
56+6x567890-9 = 3407387
f (x) = x2 + 4
What is the value of x when f (x) = 42
A. -2
В. 0
C 12
D. 20
Answers
Answer:
f(x)=X^2+4
f(x)=42
42=X^2+4
X^2+4=42
X^2=42-4
X^2=38
X=sqrt(38)=6.16
[tex] \sqrt{?} [/tex]
Simplify
a 4p + 2p - 3p
b)
9s - 5s + 2s-S
c)
8t + 3r - 7t-9r
Answers
I NEED HELP WITH THIS PROBLEM......
Answers
Answer:
son = 18 years old.
Step-by-step explanation:
Father to son = f/s = 7./3 Cross Multiply
3f = 7s
f + s = 60
f=60 - s
3(60-s)= 7s
180 - 3s = 7s
180 = 7s + 3s
180 = 10s
s = 180/10
s = 18
The model shows 1/2.
Which of the following correctly models and gives the quotient of 1/2 divided by 3/10?
Answers
Answer:
the answer is B
Step-by-step explanation:
What is -20x - (-2x) – 6
Answers
Will mark BRAINLIST only if correct answer
Please need help ASAP only answer if u know the correct answer
Answers
Answer:
2x+5y=13
y=x+7
Step-by-step explanation:
The linear functions are the ones Without exponents on the variables because the ones with exponents don't make a straight line. So:
2x+5y=13
y=x+7
Can somebody plz help answer these questions (only if u know how to do this) thanks a lot! :)
WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :DDD
Answers
Answer:
12. 3:12
Step-by-step explanation:
that is 12
Jordan has 300 pieces of candy. He gives Adrian ¼ pieces, 10% was given to Darien and he gave his little brother 25 pieces. Explain in writing (typing) how to find the number of pieces each person received then explain in writing (typing) how to find the number of pieces Jordan has left. (Remember to write 5 or more complete sentences)
Answers
Answer:
300-225=74 pieces
Step-by-step explanation:
1/4 of 300= 75
10% of 300 = 30
lil bro has 25
total of 75+30+25=225
Please help before i fail my assignment, i need to find the point slope form of all five of these graphs
Answers
Answer:
1. 4/2
2. 2/4
3. 4/-4
4. 0/2
5.3/4
i am so sorry if i am wrong
I need a lot of help omgggg
Answers
Answer: A. A' (0, 6), B' (0, 4), C' (-3, 3)
Step-by-step explanation:
A (3, 0), B (3, -2), C (0, -3)
A translation by vector <-3, 6>
Add the x-coordinate of each points to -3 and add the y-coordinates to 6
A (3, 0) -> 3 + -3 = 0 0 + 6 = 6 A' (0, 6)
B (3, -2) -> 3 + -3 = 0 -2 + 6 = 4 B' (0, 4)
C (0, -3) -> 0 + -3 = -3 -3 + 6 = 3 C' (-3, 3)
A' (0, 6), B' (0, 4), C' (-3, 3)
Hope this helped!
⚠️HELP PLZZZ ⚠️‼️help plz I’ve been on this question for an while now and I don’t understand
Answers
Answer:
3:6
Step-by-step explanation:
8:24 and 24:72 reduce down to 1:3. 3:6 is 1:2.
Julio says, "If you subtract 15 from my number and multiply the difference by - 7, the result is
- 119." What is Julio's number?
Answers
Nicholas got a 2% raise. His previous salary was $12,000. What will be his next salary?
Answers
Answer: 240
Step-by-step explanation:
1. 12,000×.04=240
2. 12,000+240= 12,240
Answer:
$12,240
Step-by-step explanation:
$12,000 = 100%
$12,000 / 100 = $120
$120 = 1%
$120x 2 = %240.
$240 = 2%
$12,000+ 240 = $12,240
Arthur's dinner bill totaled $13.72, before sales tax and tip.
• Sales tax at the restaurant is 5.8%.
• After sales tax, he left a 15% tip.
What was Arthur's total bill, including sales tax and tip?
Answers
Answer:
16.69
Step-by-step explanation:
if its wrong than report this awnser for incorrect but I am 95 percent sure its correct
Answer:
16.70 total bill including tax and tip
Step-by-step explanation:
13.72 x .058 (5.8%) =.80 sales tax
13.72+.80=14.52 price with sales tax
14.52 x .15=2.18 tip
14.52 + 2.18 = 16.70 total price including tip
Which transformation was performed on PQRS to form P'QʻR'S'? (1 point)
1) A dilation factor of 2
2) A dilation factor of 4
3) A dilation factor of 1/2
4) A dilation factor of 1/4
Answers
Given:
A transformation was performed on PQRS to form P'QʻR'S'.
To find:
The transformation.
Solution:
The given graph shows two similar polygons. It means, dilation was performed.
From the given graph it is clear that,
[tex]PS=2[/tex] units
[tex]P'S'=1[/tex] units
Now,
[tex]\text{Scale factor}=\dfrac{P'S'}{PS}[/tex]
[tex]\text{Scale factor}=\dfrac{1}{2}[/tex]
A dilation factor of [tex]\dfrac{1}{2}[/tex] was performed on PQRS to form P'QʻR'S'.
Therefore, the correct option is (3).
Please help please please help ASAP ASAP please
Answers
Answer: 37°
Step-by-step explanation:
It takes 40 minutes for Sarah to get ready for school. If it is 7:55 A.M. when Sarah leaves, what time does Sarah get up?
Answers
Answer:
It was 7:15 a.m.
Step-by-step explanation:
Answer:
7:15
Step-by-step explanation:
I went and looked at my hand clock lol. I pointed at 7:55 and subtracted 40 and got to 7:15
7x+7+2z+9= please help me
Answers
Answer:
7x+2z+16
Step-by-step explanation:
find like terms
7 9
add them
7+9=16
7x+2z+16
Simplify fully
a) 8⁴4d⁵÷2c³d³
Answers
Practice more
Answer:
here it the answer
Step-by-step explanation:
hope it helps
What is the value of x in the system of equations shown below?
5x + 4y = 1
y = 1 - x
Answers
Answer:
x=-3
Step-by-step explanation:
Answer:
x = -3
Step-by-step explanation:
Plug in
5x + 4(1 - x) = 1
(y gets replaced by 1 - x)
Multiply
5x + 4 - 4x = 1
(multiply 4 by whats in the parenthesis)
Combine Constants
5x - 4x = -3
(constant = numbers without a variable)
(separate constants from variables = numbers with letters)
Combine Variables
1x = -3
(then you got your answer and you can take the "1" off the x)
Justin has a bucket in the shape of a right circular cylinder. The diameter of the
bucket is 14 inches. What other information is needed to determine the volume of
Justin's bucket?
O A. The size of the handle
o
B. The height of the bucket
.
C. The contents of the bucket
D. The circumference of the bucket
We
Answers
Answer:
Step-by-step explanation: