Step-by-step explanation:
For the rectangular prism, the volume is obtained as 51840 cubic inches.
What is volume?
Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.
First, we need to find the total volume of the 240 cubes.
Since each cube has a side measuring 1/2 ft, the volume of each cube is (1/2 ft)³ = 1/8 cubic feet.
Therefore, the total volume of the 240 cubes is -
240 × (1/8) = 30 cubic feet
Next, we need to convert this volume to cubic inches.
Since 1 foot = 12 inches, 1 cubic foot = (12 inches)³ = 1728 cubic inches.
Therefore, the volume of the 240 cubes in cubic inches is -
30 × 1728 = 51840 cubic inches
Finally, we need to find the volume of the larger rectangular prism that contains all the cubes.
The volume will be the same as the volume of 240 cubes.
Therefore, the volume value is 51840 cubic inches
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What is the surface area, in square inches, of the original box?
What is the total cost, in dollars, of 1 original box?
Answer:
Surface area of original box:
2((10)(6) + (10)(3) + (6)(3))
= 2(60 + 30 + 18)
= 2(108)
= 216 square inches
Total cost of one original box:
(216 / 144)(22¢ / square foot)
= 1.5 × 22¢ = 33¢
A deli is trying out new labels for their cylindrical-shaped wheels of cheese. The label covers the entire wheel except the circular top and bottom.
If the wheel has a radius of 22 centimeters and a height of 16 centimeters, how many square centimeters of the wheel does the label cover?
Help pls!! It's just a question....
[tex]\frac{a^{2} +b^{2} }{2}[/tex] to [tex]\left \ {{a=-1} \atop {b=-2}} \right.[/tex]
The result is [tex]\frac{7}{2}[/tex] , but I want to know the calculation for this result.
Of 100 random student surveyed, 42 own a dog, 33 own a cat, and 16 own a dog and cat, and 9 own neigher a dog or cat. Based upon the results, how many of the next 150 students surveryed would you expect to own a dog and cat?
Answer:16
Step-by-step explanation:
150/100=1.5
16x1.5=24
How would you solve this without S.A formulas
Answer:
Step-by-step explanation:
Length of the object = 4 ft
Breadth of the object = 4 ft
Height of the object = 3 ft
Volume / Area of the object = Length * Breadth * Height
= 4 * 4 * 3
= 48 ft³
Length of the cubical hole = 2 ft
Breadth of the cubical hole = 2 ft
Height of the cubical hole = 3 ft
Volume / Area of the cubical hole = Length * Breadth * Height
= 2 * 2 * 3
= 12 ft³
Remaining Area of the object = Area of the object - Area of the cubical hole
= 48 - 12 ft
= 36 ft
We can’t tell any area of a 3d object without it’s SA formulas.
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Area of the base is 9 square feet, the lateral face area is 27 square feet, Lateral surface area is 27 square feet and total surface area is 36 square feet.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
The square has a side length of 3 ft
Area of the base is 3×3
Area of the base is 9 square feet
Now let us find the lateral face area = 2a√[(a²/4) + h²]
=2(3)√[(9/4) + 17.64]
=6√20
=27 square feet
Lateral surface area = a√(a²+4h²)
a=3, h=4.2
Lateral surface area = 3√(9+4(4.2)²)
= 3√(9+4(17.64))
3√(9+70.56
= 3√79.56
=3×9
=27 square feet
To find total surface area, we have to find the slant height by pythagoras theorem
(1.5)²+(4.2)²=l²
2.25+17.64=l²
20=l²
4.47=l
Now total surface area = a² + 2al
=3²+2(3)(4.47)
=9+26.82
=36 square feet
Hence, Area of the base is 9 square feet, the lateral face area is 27 square feet, Lateral surface area is 27 square feet and total surface area is 36 square feet.
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What is this figure a picture of: a picture of a geometric pattern transformation reflection translation tessellation
Answer:
Tessellation
Step-by-step explanation:
The figure shown is a picture of a Tessellation
Where a Tessellation is a tiling of regular polygons (in two dimensions), polyhedra (three dimensions), or polytopes ( dimensions)
*50 POINTS* 7th Grade Geometry please help
Answer:
D.4
Step-by-step explanation:
Mason plays a game by flipping a fair coin. He wins if the coin lands facing heads-up. What is the probability, as a fraction, that Mason wins the game?
(I need an actual answer, pls)
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
There are two ways a fair coin can land: heads and tails. Since there is an equal chance that the coin lands on heads and tails, there is half chance ([tex]\frac{1}{2}[/tex] or 50%) that the coin lands heads-up.
∴ Therefore, the probability as a fraction is [tex]\frac{1}{2}[/tex].
Hope this helps!
What does it mean if the slope of a ramp is -7/21 feet? Hint:( up, down, left, right )
Answer:
slope= -7/21
Go down by 7
go right by 21
Answer: slope= -7/21
Go down by 7
go right by 21
Step-by-step explanation: slope ratio means that for every two inches of rise, you would need one foot of ramp
I don't feel confident with my answers so can someone help me with this?
Answer8
8.3 repeating
Step-by-step explanation:
Since it takes 75 pounds of seed to plant a nine acres field, divide by 9 to get the pounds for one acre field which is 75/9=8.333repeating
Complete the chart in model it on the previous page. Describe and explain the relationship between the decimals for 2/6 and 4/6
Answer: The relationship between the decimals for 2/6 and 4/6 is that the decimal for 4/6 is twice the decimal for 2/6.
When we simplify 2/6, we get 1/3, which is equivalent to 0.33 as a decimal. When we simplify 4/6, we get 2/3, which is twice the value of 1/3. So the decimal for 4/6 is twice the decimal for 2/6, which means that they have a proportional relationship.
Step-by-step explanation:
Answer
They are like fractions
Step-by-step explanation:
This is because fractions which have the same denominators irrespective of the numretor are called like fractions.
The figure above is made from 1 cm cubes. What is the volume of the figure?
A.
54 cubic cm
B.
44 cubic cm
C.
48 cubic cm
D.
38 cubic cm
Please answer asap!!!
How many terms does the expression 4x + 3y - 16 have?
i really need the help
The expression 4x + 3y - 16 has three terms. The terms are:
4x (the term with the coefficient 4 and the variable x)
3y (the term with the coefficient 3 and the variable y)
-16 (the constant term with the coefficient -16)
There are 3 terms. The 2 terms are 4x, 3y, and -16. They’re the invidual expressions separated by a + or - sign.
What is the height, h, of the large triangle? Area of triangle = 12
Answer:
Step-by-step explanation:
Area of solid triangle = 37.5
-88-5(-4)+110.3
help please
Answer:
42.3
Step-by-step explanation:
= -88-5*(-4)+110.3
= -88-5*-4+110.3
= -88--20+110.3
= -88+20+110.3
= -68+110.3
= 42.3
I hope this helps!
I NEED THIS RIGHT NOW
Answer:
x - y
Step-by-step explanation:
if x is greater than y subtraction will be the result with a positive number.
Students were surveyed to determine their favorite types of animals. The bar graph shows the number of students who selected each type of animal. 80% 5% 6% 20% Type of Animal Clear my selection Fish Lizard Bird Dog 6 8 Number of Students What percentage of the students surveyed selected "Bird" as their favorite type of animal? Cat 0 2 Favorite Animals 10
Answer:
20%
Step-by-step explanation:
There are 30 total survey responses and 6 people chose bird and so 6 is 20% of 30 which means the answer is 20%.
Answer:
20%
Step-by-step explanation:
This is beacuse if we count all the types of animals the students choosed, it's 30. And 6 students selected bird. So, 30/6=5 and 5 is 20% of 30
THUS, ANSWER IS 20%
Which figure can be formed by the net?
Option (D)
Step-by-step explanation:It is option (D) by the following reasons -
REASON 1 - The net has 4 sides.
So, Option (A) and (B) are canceled as they have 5 sides in the obtained figure.
REASON 2 - The net has two 8 inched sides and one 14 inched sides.
So, Option (C) is canceled as it has two 14 inched sides and one 8 inched side.
REASON 3 - The answer is Option (D)
As all the remaining options are canceled, the left over Option is only Option (D).
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2k–14 ≤ 10
Pls helppp meee
Answer: k = 12
Step-by-step explanation:
2k–14 ≤ 10
1. Remove the 14 from the equation by adding it to the 10 (10 + 14)
2k ≤ 24
2. Get k to be by itself by dividing the 2 from 24
24/2 = 12
k = 12
What is the value of 34x2+5 when x=2 ?
Part B: Alex has 270 sugar cubes, like the one shown. He uses all the cubes to fill a box shaped like a larger rectangular prism. There are no gaps between the cubes.
The volume of the SUGAR CUBES is 1/27 in³.
Determine the volume, in cubic inches, of THE BOX.
Answer:
Step-by-step explanation: yup it is right
Please Help!!! I will give brainlist if right and explained!!!
Answer:
Net worth = Assets - Liabilities
Assets' total = $315,400
Liabilities' total = $153,300
Net worth = $162,100
Help and explanation please
Answer:
1320 L / hour
Step-by-step explanation:
the question says that 22l in one minute so x liters in an hour
to get x, just multiply by 60. 22x60=1320(ans)
Which angles are complementary to AFB? Select all that apply.
Answer:
Step-by-step explanation:
/_BFC
What is the difference between the mean number of boxes of donuts sold during the first 3 months of last year and the first 3 months of this year?
Answer:
difference is 2 boxes
Step-by-step explanation:
A) first 3 months of last year
435+428+437/3 = 433
B) the first 3 months of this year
450+406+450/3 = 435
C) difference is 2 boxes
I'll give you 59 points + Brainliest.
Answer:
23.7 ounce bottle is better value.
Step-by-step explanation:
Answer:
10.1 ounce bottle is better buy
Step-by-step explanation:
10.1=19 cents
23.7= 21 cents
look at the example problem.Explain how you can use multiplication to check the answer
Answer:
3 1/2x16
Step-by-step explanation:
You can multiply 16 times the answer (3 1/2 or 3.5) which equals 56 ounces.
Hope this helped
HELP ME! please This needs to be done.
The expression that correctly shows the number sentence - the square of the sum of 6 plus b is greater than 10 - is option (a) - [tex](6+b)^{2} > 10[/tex]
A mathematical statement made up of a relational symbol (=, >, <, etc.) and of two expressions is called a number sentence is . An equation is a number sentence whose relational symbol is the equal sign.
The given number sentence is an example of mathematical expressions in one variable.
Here, the variable given is 'b'.
According to the question,
The sum of 6 plus b can be represented as = 6 + b
And, the square of the sum of 6 plus b can be represented as = [tex](6+b)^{2}[/tex]
This value is greater than 10.
This means, [tex](6+b)^{2} > 10[/tex]
All other expressions are wrong interpretations of the given number sentence.
The correct answer is option (a) - [tex](6+b)^{2} > 10[/tex]
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Please answer the question
answer is
(11y - 36)° = 63°