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Leno4ka [110]
2 years ago
6

Surface= Area= Help please thanks

Mathematics
1 answer:
BigorU [14]2 years ago
8 0

Surface area of the rectangular solid = 416 in.².

Volume = 480 in.³.

<h3>What is the Surface Area and Volume of a Rectangular Solid?</h3>

Surface area = 2(wl+hl+hw)

Volume = (length)(width)(height).

Given the following:

Length (l) = 12 in.

Width (w) = 10 in.

Height (h) = 4 in.

Surface area = 2(wl+hl+hw) = =2·(10·12+4·12+4·10) = 416 in.².

Volume = (12)(10)(4) = 480 in.³.

Learn more about the surface area of rectangular solid on:

brainly.com/question/1310421

#SPJ1

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Answer:

Step-by-step explanation:

If I'm not mistaken, and I very well could be, this is a calculus problem(?). In order to find the distance without calculus you'd need a point on the given line to use to find the distance in the distance formula. But you don't have a point on the given line, so we can find the shortest distance between the point (1, 4) and the given line using the derivative of the polynomial formed when using the distance formula.

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d=\sqrt{(1-x)^2+(4-y)^2}

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.  Combining like terms gives us

d=\sqrt{\frac{10}{9}x^2-\frac{20}{3}x+50  }

The distance between the point (1, 4) and the given line will be at a minimum when the polynomial above is at a minimum. We find the value of x for which the polynomial is at a minimum by finding its derivative, setting the derivative equal to 0, and then solving for x. The derivative of the polynomial is

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Setting equal to 0 and getting rid of the denominators gives us

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Solving for x gives us

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That's the value of x that gives us the shortest distance between (1, 4) and the line y = 1/3x - 3. Sub into the distance formula that x value to find the distance:

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which simplifies down, finally, to

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