The surface area of the figure is 204 sq.unit.
What is Surface Area ?The surface area of a three dimensional figure is the sum of area of all its faces.
Here a three dimensional figure is given and surface area has to be calculated.
The base is a cuboid
Surface Area of a cuboid = SA= 2lw+2lh+2hw
SA = 2 * 6 * 6 +2 * 6 * 3 + 2 * 6 * 3
SA = 144 sq.units
The Surface Area of the 4 triangle surface = 4 * (1/2) * base * height
SA = 2 * 6 * 5 = 60 sq.units
The total surface area = 144 +60 = 204 sq.units
Therefore the surface area of the figure is 204 sq.unit.
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Sean is employed as a truck driver. He drives x hours a week and is paid $21.60 per hour. Also he is paid $250 for food per week. This week he earned a total of $1,114. How many hours did he drive?
Answer:
Hours driven= 40 hours
Step-by-step explanation:
Giving the following information:
Variable income= $21.6 per hour
Fixed income= $250
Total income= $1,114
To calculate the number of hours driven, we need to use the following formula:
Total income= fixed income + hourly rate*number of hours
1,114 = 250 + 21.6*x
864 = 21.6x
864 / 21.6 = x
40=x
Hours driven= 40 hours
UNIT 6: CEREAL BOX PROJECT / PORTFOLIO
A company has released the following possible designs for a new cereal box. The cost of production depends upon the cost of materials, which is determined by how much material is used. The amount of material used is equal to the surface area of the package plus some overlap. The amount of product contained in the package is the volume of the packaging.
Find the surface area and volume of the following possible cereal boxes. Determine the cost of making the cereal box assuming that cardboard costs $0.05 per square inch.
Answer:
DO you go to a connexus school? I do and i have this same project im trying to find answers to!
Step-by-step explanation:
For the first box the volume, surface area, and cost of materials are 180 cubic inches, 258 square inches, and $12.9, for the second box 192 cubic inches, 224.4 square inches, and $11.22 for the third box 235.61 cubic inches, 227.76 square inches, and $11.38.
What is volume?It is defined as a three-dimensional space enclosed by an object or thing.
For the first cereal box:
Volume = L×W×H
Here L = 7.5 in, W = 2 in, and H = 12 in
Volume = 7.5×2×12 = 180 cubic inches
Surface area = 2(L×B+B×H+H×L)
= 2(7.5×2+2×12+12×7.5)
= 2(15+24+90)
= 258 square inches
Cost for this cereal box = 258×0.05 = $12.9
For the second cereal box:
[tex]\rm Volume = \frac{1}{3} bh[/tex]
b is the area and h, is the height of the pyramid.
b = 8×6 = 48 square inches, h = 12 inches
[tex]\rm Volume = \frac{1}{3} \times48\times12[/tex]
Volume = 192 cubic inches
[tex]\rm Surface \ area = b+\frac{1}{2} ps[/tex]
p is the perimeter of the base = 2(8+6) = 28 in
Slant height s = 12.6 in
[tex]\rm Surface \ area = 48+\frac{1}{2} (28)(12.6)[/tex] = 224.4 square inches
Cost of this cereal box = 224.2×0.05 = $11.22
For the third box:
Volume = πr²h
r = 2.5 in and h = 12 in
Volume = π(2.5)²(12) = 235.61 cubic inches
Surface area = 2πr(h+r) = 2π(2.5)(12+2.5) = 227.76 square inches
Cost of this cereal box = 227.76×0.05 = $11.38
Thus, for the first box the volume, surface area, and cost of materials are 180 cubic inches, 258 square inches, and $12.9, for the second box 192 cubic inches, 224.4 square inches, and $11.22 for the third box 235.61 cubic inches, 227.76 square inches, and $11.38.
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Need Help On This Question!
Answer:
Just multiply the exponents of the numbers
So this is the order from top to below and I'll mark as 1 to 5
2
1
4
5
3
PLEASE ANSWER THIS ASAP I WILL MARK YOU THE BRAINLIEST
SHOW YOUR WORK!!!
Calculate the volume of the following three-dimensional object
A spinner has five equal sections labeled 1-5. In 60 spins, how often can you expect to spin a 3?
ok so lets say that you have a pizza cutted out in 5 sections and want to pick up only a certain piece, let's say pepperoni. If you took a piece at random, the chances of getting that certain piece of pepperoni in 60 spins is: 12 / 60
Select all the correct answers. 6^3×2^6 Which expressions are equal to 2^3 ? 2^6×3^3; 6^3; 12^3; 2^3×3^3; 12^6
Answer:
12^3
Step-by-step explanation:
Answer:
12 ^3
Step-by-step explanation:
The larger of two numbers is 6 more than the smaller integer. Their sum is 52, What are the numbers?
can someone check my answer make sure it's right, if it's wrong can you please explain thanks ❤️❤️
Answer:
it is wrong
Step-by-step explanation:
the reason it is wrong is because I said so
Answer:
I am going to say no BECAUSE there are two y values, on the same point. For it to be linear it should only have one point per value. I think... good luck.
If water flows through the pipe at a rate of 2L per seconds. How much water will pass through the pipe in 1/2hour
Answer:
3600 Liters
Step-by-step explanation:
The given rate is 2L and we have to find how much water will flow in 1/2 hours at the same rate
1/2 hour is the same thing as 30 mins
multiply by 60 to convert minutes to seconds
[tex]3omin * \frac{60sec}{1min} = 1800 s[/tex]
since the rate is 2L per second we multiply 1800 by 2 and get 3600 Liters
What is the distance to the nearest tenth A unit, between point M (-8,-1) and point N (3,5)?
Answer: 12.5
Step-by-step explanation:
la suma de cuatro y el producto de tres y un número x
Answer:
4+3x esa es la suma de cuatro y el producto de tres y un número x
I NEED HELP
Please write the right answer
Your portfolio must include a minimum of the following five types of equations and solutions:
Two one-step equations
Two equations that contains fractions
One equation with distributive property
One equation with decimals
One real-world problem that is solved by an equation
Remember that each equation must include at least one variable. Once you have created each equation, you will solve it and show your work. Pretend that you are teaching the equations to a new pre-algebra student. Or you can actually teach them to a sibling or friend!
This is a total of 7 equations and solutions.
Answer:
1). (x - 4 = 13)
2). (r + 17 = 51)
3). (7/9x =28)
4). (2/3x = 2)
5). { 3(x-2) = -9 }
6). (x -1.75 = 8.85)
7). Natalie buys organic almonds priced at $77 from the grocery store. How much did
she pay the cashier, if she received $23 in change?
Step-by-step explanation:
1. add 4 on both sides and it will be x=17
2. subtract 17 on both sides and it will be x= 34
3. multiply 9/7 on both sides and it will be x= 257/7 then you divide 257 by 7 then the final answer will be x= 36
4. multiply 3/2 on both sides and it will be x=6/2 then you divide 6 from 2 and the finial answer will be x= 3
5. you will distribute 3 into x and 2 and you will be 3x-6=-9 then you will add 6 on both sides so you will get 3x=3 and then divide 3 on both side so you will get x=1
6. add 1.75 on both sides so x= 10.6
7. the equation will be 23 +x = 77 so first you will subtract 23 on both sides and x will equal 54 so Natalie paid $54
Answer:
i'm taking that test rn
Step-by-step explanation:
ect
Use the number line interactive to evaluate the
following expressions.
8 + 3 =
+
16
(-8) + (-5) =
<
(-8) + 2 =
Answer:
1. 11
2. -13
3. -6
Step-by-step explanation:
Hope this helps. Have a great day! (I got this correct on edge :})
This equation shows how the time required to ring up a customer is related to the number of
items being purchased.
t = 3p + 11
The variable p represents the number of items being purchased t =3p + 11 The variable p represents the number of items being purchased, and the variable t represents the time required to ring up the customer. How long does it take to ring up a customer with 3 items?
Answer:
it is x=4÷2
Step-by-step explanation:
I just known the answer who cares about the steps
Porter read 20% of the Star Wars book. He read 8 pages of the book. Write the number of pages in the Star Wars book
Answer: 40 pages in total
Explanation: Porter has read 20% of the book and this translates to 8 pages of the book.
20% = 8 pages
Assume the total number of pages is x:
20% * x = 8
0.2x = 8
x = 8 / 0.2
x = 40 pages in total
Answer:
40 pages in the book
Step-by-step explanation:
8/40 = .20
help me please it’s math
Answer:
1) 345 2) 62 3) 36 4) 51 5) 96 6) 142
Step-by-step explanation:
I hope you and your 3rd or 4th grader self enjoy the answers i gave you.
what is the diameter of a circle with a circumference of 56 inches?
Answer:
17.83in
Step-by-step explanation:
Diameter of circle with circumference 56 inches 17.81 inches .
Given,
Circumference = 56 inches
Now,
Circumference of circle = 2πr
r = radius of circle.
Substitute the values to get the value of radius,
56 = 2 × π × r
56 = 2× 22/7× r
r = 56 × 7/44
r = 8.909 inches.
Next,
Diameter = 2 (Radius)
Diameter = 2 * 8.909
Diameter = 17.81 inches .
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convert 53 m = cm
help pls
There were 442 students at Deerlake Middle School who voted on a theme for the spring
carnival. Those who voted represent 76% of the entire student population. About how many
students attend Deerlake Middle School?
581
590
600
580
Answer:
581
mark me as brainliest plz
Charlotte bought 18 songs for her MP3 player. Three-thirds of the songs are classical songs. How many of the songs are classical songs?
Answer:
three thirds is one whole
Step-by-step explanation:
The answer is 18 because three thirds is one whole which in this case is 18! Have a nice day!
A new car is purchased for 20300 dollars. The value of the car depreciates at 8.75% per year. What will the value of the car be, to the nearest cent, after 12 years?
My question is more on how do I know how to change the percentage, and what to change it to.
Answer:
Therefore, after 12 years the car will value $6,765.35.
Step-by-step explanation:
A square stained-glass window has an area of 4 feet2 what is the perimeter of the window
How many solutions does this system of equations have? x+y=10 2x+2y=20
Answer:
Infinitely many solutions
Step-by-step explanation:
ive learned thiss
Answer: Infinite amount of solutions since the two equations are equal
Basically x = x and y = y all numbers would work
Step-by-step explanation:
Determine the Y intercept PLEASE HELP!!
X Y
-3 -3
0 -1
3 1
what is equivilent to 0.5y + 10.5 + 6.5y - 0.5 - 0.5y
Answer:
6.5y + 10
Step-by-step explanation:
0.5y + 10.5 + 6.5y - 0.5 - 0.5y
combine like terms
6.5y + 10
Answer:
m
Step-by-step explanation:
f
Will give crown for the RIGHT answer please do not mess around or give me weird links
Answer:
28
Step-by-step explanation:
what goes up a hill with three legs and goes down a hill with four legs?
Answer:
i don't know what goes up with three leg and goes down with 4
Answer:
u
Step-by-step explanation:
help ASAP! Ill mark brainliest!
Answer:
55 students
Step-by-step explanation:
Just write down the answer.
Answer:
Step-by-step explanation:
Football: 500(.38)= 190
Basketball: 500(.25)= 125
55 students (65 students)
Find the measures of the missing angles
Help pleaseee
Answer:
Nwm miałem to dawno powodzenia
Ms Carr made a mistake in her checkbook. she wrote a check for $8.98 to rent a video but mistakenly recoreded it in her checkbook as an $8.98 deposit on the blank slide represent each transaction with a rational number and explain the difference between the transactions