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3 years ago

What is the surface area, in square centimeters of a cube with each edge measured 36 centimeters?

Mathematics

2 answers:

marusya05 [52]3 years ago

8 0

$7776$

because it equals 36*36*6

ale4655 [162]3 years ago

5 0

Answer:

7776 cm^2

Step-by-step explanation:

The surface area of a cube is found using this formula: 6x^2, where x represents the side length of a side of the cube.

Substitute in 36 centimeters for x and solve.

6(36)^2

Evaluate the exponent first.

6(1296)

Multiply 6 and 1296 together to get the final answer.

7776 centimeters^2 is the surface area of the cube.

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The width of a box in the shape of a rectangular prism is 4 inches more than the height h . The length is the difference of 9 in

Doss [256]

Answer:

$(a)$ $V = -H^3+ 5H^2 + 36H$

$(b)$ $Length = 5in; Width = 9in; Height = 5in$ or $Length = 3in; Width = 10in; Height = 6in$

Step-by-step explanation:

Let:

$W=Width; L = Length; H = Height$

Given

$W = 4 + H$

$L = 9 - H$

Solving (a): The polynomial for the volume in terms of height

Volume (V) is calculated using:

$V = L * W * H$

$V = (9 - H) * (4 + H) * H$

Expand

$V = (9 - H) * (4H + H^2)$

Open brackets

$V = 36H + 9H^2 - 4H^2 - H^3$

$V = 36H + 5H^2 - H^3$

Rewrite as:

$V = -H^3+ 5H^2 + 36H$

Solving (b): The dimensions when Volume = 180

Substitute 180 for V in: $V = -H^3+ 5H^2 + 36H$

$180 = -H^3+ 5H^2 + 36H$

Rewrite as:

$H^3 - 5H^2 - 36H + 180 = 0$

Factorize:

$H^2(H - 5) - 36(H - 5) = 0$

$(H^2 - 36)(H - 5) = 0$

Express $H^2 - 36$ as difference of two squares

$(H - 6)(H + 6)(H - 5) =0$

This gives:

$H - 6 =0==> H = 6$

$H + 6 =0==> H = -6$

$H - 5 =0==> H = 5$

Since the height can not be negative, then H = 5 or H = 6

Recall that:

$W = 4 + H$

$L = 9 - H$

When H = 5

$W = 4 + 5 = 9$

$L = 9 - 5 = 4$

When H = 6

$W = 4 + 6 = 10$

$L = 9 - 6 = 3$

Hence, the dimensions of the box are:

$Length = 5in; Width = 9in; Height = 5in$

$Length = 3in; Width = 10in; Height = 6in$

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3 years ago

Is "how much money have people spent on toilet paper?" a statistical question?

Olenka [21]

Answer:

yes

Step-by-step explanation:

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3 years ago

Samin can run 5 kilometers in 30 minutes. Assuming she keeps a constant pace, how many kilometers can she run in 45 minutes? URG

bulgar [2K]

Answer:

7.5kilometer

Step-by-step explanation:

for 30mins semin runs 5kilometer

then for 1min: (1min×5kilometer)÷30mins,

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3 0

4 years ago

Read 2 more answers

Point M is the midpoint of segment QR. If QM = 16 + x and MR = 2(x + 2), find the length of QR. QR = 12 QR = -12 QR = 28 QR = 56

vfiekz [6]

The midpoint divided a segment into two congruent lengths/segments.

So, QM = MR.

Set up the equation.

16 + x = 2(x+ 2)

16 + x = 2x + 4

12 + x = 2x

12 = x

Now, that you have the value of x, substitute it for the two equations.

QM = 16 + x

QM = 16 + 12

QM = 28

MR = 2(12+ 2)

MR = 2(14)

MR = 28

Find the whole length by of the line by adding the two segments. 28 × 2 = 56.

QR = 56

6 0

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Mrs. Higgins's was hoping to make some extra cash, so she invested 12000 in equipment to print yearbooks, each year book cost he

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Answer: im pretty sure it’s the first one

Step-by-step explanation: )

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