Demarcus has a cereal box shaped like a rectangular prism. It measures 758 inches long, 212 inches wide, and 12 inches high. What is the volume of the cereal box?

Answer:

1,928,352 in cubed

Step-by-step explanation:

The volume of the cereal box is [tex]\rm 228\dfrac{3}{4}[/tex]cubic inches.

The volume of rectangular prism is given by :-

[tex]\rm Volume = Length \times Width \times Height[/tex]

Demarcus has a cereal box shaped like a rectangular prism. It measures 7 5/8 inches long, 2 1/2 inches wide, and 12 inches high.

The volume of the cereal box is determined in the following steps given below.

[tex]\rm Volume = Length \times Width \times Height\\\\\rm Volume = 7\dfrac{5}{8}\times 2\dfrac{1}{2} \times 12\\\\\rm Volume = \dfrac{7\times 8+5}{8} \times \dfrac{2\times 2+1}{2} \times 12\\\\\rm Volume = \dfrac{61}{8} \times \dfrac{5}{2} \times 12\\\\Volume =\dfrac{3660}{16}\\\\Volume=228\dfrac{3}{4}[/tex]

Hence, the volume of the cereal box is [tex]\rm 228\dfrac{3}{4}[/tex]cubic inches.

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The figure below shows a shaded circular region inside a larger circle:

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Saved
(06.01 LC)
The value of 33 + 42 = ___. (5 points)

Question 1 options:
17
Question 2 (5 points)
Saved
(06.01 MC)

What is the value of the expression shown below?

7 + (2 + 6) 2 ÷ 4 ⋅ (5 points)

Question 2 options:

1)

23


2)

18


3)

9


4)

8

Question 3 (5 points)
Saved
(06.02 LC)
Which expression represents the product of 8 and y? (5 points)

Question 3 options:

1)

8 + y

2)

8y

3)

8 − y

4)


Question 4 (5 points)
Saved
(06.02 LC)
What best describes the expression ? (5 points)

Question 4 options:

1)

3 more than some number

2)

Some number times 3

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Some number divided by 3

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3 less than some number
Question 5 (5 points)
(06.03 LC)
What is the constant term in the expression 8xy + 9x2 y − 5x − 2? (5 points)

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−5

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−2

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8

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9
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Question 6 options:

1)

The sum of constant factors 5 and x + 2

2)

The product of constant factors 5 and x + 2

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The sum of a constant factor 5 and a 2-term factor x + 2

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The product of a constant factor 5 and a 2-term factor x + 2
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(06.04 LC)
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Question 7 options:
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13.72 cubic units

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19.21 cubic units

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21 cubic units

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25 cubic units
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Question 9 options:

1)

(a + b) + c


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(a + b) ⋅ c


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(06.06 MC)
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1)

2 was not multiplied by x

2)

2 was not multiplied by 5

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Incorrect sign was used for the first term

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Incorrect sign was used for the second term
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36p

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12 + 2p

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(06.07 MC)
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4(7x + 3)
32x + 8
28x + 12
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1)

A and B

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B and C

3)

A and D

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A and C

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