Jeff and George each have a box of popcorn. Whose box holds more popcorn? Choose 1 answer: Choose 1 answer: (Choice A, Checked) A Jeff's (Choice B) B George's How much more popcorn does the bigger box hold than the smaller box? \text{cm}^3cm 3 start text, c, m, end text, cubed \text{Jeff's popcorn container:}Jeff’s popcorn container:start text, J, e, f, f, apostrophe, s, space, p, o, p, c, o, r, n, space, c, o, n, t, a, i, n, e, r, colon, end text \text{George's popcorn container:}George’s popcorn container:start text, G, e, o, r, g, e, apostrophe, s, space, p, o, p, c, o, r, n, space, c, o, n, t, a, i, n, e, r, colon, end text

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Answer:

Jeff's Popcorn 130^3

Step-by-step explanation

(Jeff's 130^3) .                                                                                                        

First 20.5*10^2 which is 20.5*100 which equals 2050.

Then find the volume for the other box of popcorn.

30*8^2 which is 1920.

subtract 2050 by 1920 and you get 130.

Answer:

Each popcorn box is a rectangular prism. We can find the volume of a rectangular prism if we know its length, width, and height.

Hint #22 / 6

\begin{aligned} \text{Volume of Jeff's popcorn box} &= \text{length} \cdot \text{width} \cdot \text{height} \\\\ &= 10 \cdot 10 \cdot 20.5 \\\\ &= 100 \cdot 20.5 \\\\ &= \blueD{2050}\\\\ \end{aligned}  

Volume of Jeff’s popcorn box

​  

 

=length⋅width⋅height

=10⋅10⋅20.5

=100⋅20.5

=2050

​  

 

Jeff's popcorn box can hold \blueD{2050} \text{ cm}^32050 cm  

3

start color #11accd, 2050, end color #11accd, start text, space, c, m, end text, cubed of popcorn.

Hint #33 / 6

\begin{aligned} \text{Volume of George's popcorn box} &= \text{length} \cdot \text{width} \cdot \text{height} \\\\ &= 8 \cdot 8 \cdot 30 \\\\ &= 64 \cdot 30 \\\\ &= \maroonD{1920}\\\\ \end{aligned}  

Volume of George’s popcorn box

​  

 

=length⋅width⋅height

=8⋅8⋅30

=64⋅30

=1920

​  

 

George's popcorn box can hold \maroonD{1920} \text{ cm}^31920 cm  

3

start color #ca337c, 1920, end color #ca337c, start text, space, c, m, end text, cubed of popcorn.

Hint #44 / 6

Jeff's popcorn box can hold more popcorn because \blueD{2050}2050start color #11accd, 2050, end color #11accd is greater than \maroonD{1920}1920start color #ca337c, 1920, end color #ca337c.

Hint #55 / 6

Now let's find out how much more popcorn.

\blueD{2050} - \maroonD{1920} = 1302050−1920=130start color #11accd, 2050, end color #11accd, minus, start color #ca337c, 1920, end color #ca337c, equals, 130

Jeff's popcorn box can hold 130 \text{ cm}^3130 cm  

3

130, start text, space, c, m, end text, cubed more popcorn than George's popcorn box.

Hint #66 / 6

The answers:

Jeff's popcorn box can hold more popcorn.

The bigger box holds 130 \text{ cm}^3130 cm  

3

130, start text, space, c, m, end text, cubed more popcorn than the smaller box.

Step-by-step explanation: