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2 years ago

14

How many cubic blocks with a side length of 1/8 inch are needed to fill a rectangular prism with a length, width, and height of

3/4 inch 1/2 inch, and 1/2 inch, respectively?

1 answer:

forsale [732]2 years ago

6 0

volume of cube is V=S^3

so 1/8 = 0.125 = 0.125^3 = 0.00195 in^3

volume of rectangle

V= l x w x h = 0.75*0.5*0.5 = 0.1875 in^3

0.1875/0.00195 = 96.15 round to 96 blocks

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Shtirlitz [24]

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den301095 [7]

Answer:

Part A)

The equation in the point-slope form is:

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Part B)

The graph of the equation is attached below.

Step-by-step explanation:

Part A)

Given

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The point-slope form of the line equation is

$y-y_1=m\left(x-x_1\right)$

Here, m is the slope and (x₁, y₁) is the point

substituting the values m = 4/3 and the point (-2, 11) in the point-slope form of the line equation

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$y-11=\frac{4}{3}\left(x-\left(-2\right)\right)$

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$y-11=\frac{4}{3}\left(x-\left(-2\right)\right)$

Part B)

As we have determined the point-slope form which passes through the point (-2, 11) and has a slope m = 4/3

The graph of the equation is attached below.

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