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Paha777 [63]
3 years ago
6

A rectangular prism has a length of 8 in., a width of 4 in., and a height of 214 in.

Mathematics
1 answer:
Ivan3 years ago
8 0

For this case we have that by definition, the volume of a rectangular prism is given by:

V = A_ {b} * h

Where:

A_ {b}: It is the area of the base

h: It is the height

So:

A_ {b} = 8 * 4 = 32 \ in ^ 2\\h = 214 \ in

The volume of the prism is:

V = 32 * 214 = 6848 \ in ^ 3

Now, the volume of the cubes is:

V = (14) ^ 3 = 2744 \ in ^ 3

Thus, we divide and find the number of cubes to fill the prism:

n = \frac {6848 \ in ^ 3} {2744 \ in ^ 3}\\n = 2.5

ANswer:

n = 2.5

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The parabola with equation $y=ax^2+bx+c$ is graphed below:
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m-n=2

Step-by-step explanation:

Instead of using the standard form, we can use the vertex form of a quadratic equation:

f(x)=a(x-h)^2+k

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Our vertex point is at (2, -4). So, let’s substitute 2 for h and -4 for k:

f(x)=a(x-2)^2-4

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12=a(2)^2-4

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16=4a

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f(x)=4(x-2)^2-4

Now, let’s find our roots. Set the equation to 0 and solve for x:

0=4(x-2)^2-4

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Our final answer is 2.

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