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Olenka [21]
4 years ago
15

Volume of a cube is 648^3 cm Find its total surfacearea.​

Mathematics
2 answers:
Simora [160]4 years ago
5 0

449.3 cm^2

To find surface area from the volume, first cube root the number 648, which gives you 8.65 rounded to the nearest hundredth. Then you square it because you have to find the area if every side of the cube, so take that answer, which is 74.88 rounded to the nearest hundredth, multiply it by six. You have your answer

Natali [406]4 years ago
4 0

Answer:

6√3

Step-by-step explanation:

V = 648•(3½) = 8•81•(3½)  where the SQUARE ROOT OF 3 has been written with a fractional exponent V = s3

so s = cube root of this V.

Cube root of 8 is 2; cube root of 81 is 3•3^(1/3) and cube root of square root of 3 is 3^(1/6).

Therefore s = 2•3•3^(1/3 + 1/6) =  2•3•3½ = 6√3.

You will need to get s2 = 36•3 = 108. Finally, T.S.A. = 6 s2 = 6(108) = 648.

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Equation of a line that is perpendicular to given line is y=\frac{-7}{4} x+\frac{7}{4}.

Equation of a line that is parallel to given line is y=\frac{4}{7} x-\frac{69}{7}.

Solution:

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Slope of this line, m_1 = \frac{4}{7}

$\text{Slope of perpendicular line} = \frac{-1}{\text{Slope of the given line} }

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Passes through the point (–7, 5). Here x_1=-7, y_1=5.

Point-slope formula:

y-y_1=m(x-x_1)

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$y+7=\frac{-7}{4} x+\frac{35}{4}

Subtract 7 from both sides, we get

$y=\frac{-7}{4} x+\frac{7}{4}

Equation of a line that is perpendicular to given line is y=\frac{-7}{4} x+\frac{7}{4}.

To find the parallel line:

Slopes of parallel lines are equal.

m_1=m_3

$m_3=\frac{4}{7}

Passes through the point (–7, 5). Here x_1=-7, y_1=5.

Point-slope formula:

$y-(-7)=\frac{4}{7} (x-5)

$y+7=\frac{4}{7} x-\frac{20}{7}

Subtract 7 from both sides,

$y=\frac{4}{7} x-\frac{69}{7}

Equation of a line that is parallel to given line is y=\frac{4}{7} x-\frac{69}{7}.

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