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vovikov84 [41]
3 years ago
12

A cube has a volume of 216 cubic inches. What is the length of each edge of the cube?

Mathematics
2 answers:
prisoha [69]3 years ago
7 0

Answer:

\boxed {\tt 6 \ centimeters}

Step-by-step explanation:

The volume of a cube can be found using the following formula:

v=s^3

where s is the side length, or edge.

We know the volume is 216 cubic inches. We can substitute 216 cm³ in for v, the volume.

216 \ cm^3 = s^3

We want to find the side length. Therefore, we must isolate the variable, s.

s is being cubed. The inverse of a cube is the cube root. Take the cube root of both sides of the equation.

\sqrt[3]{216 \ cm^3} =\sqrt[3]{s^3}

\sqrt[3]{216 \ cm^3} =s

6 \ cm=s

The length of each edge of the cube is 6 centimeters.

KatRina [158]3 years ago
3 0

Volume of a cube = (edge)^3

In this problem,

Volume = 216in^2

Edge = ?

Let's plug our values into the formula above.

216in^3 = (edge)^3

Take the cbrt of both sides.

6in = edge

The length of each edge = 6in

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Even "school ID's"; or "college ID cards"; even if "current" (e.g. currently enrolled" with a photo ID) would not be considered "official" and would only be considered "secondary ID".
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6 0
3 years ago
Read 2 more answers
Bakery has bought 250 pounds of muffin dough. They want to make waffles or muffins in half-dozen packs out of it. Half a dozen o
Alexus [3.1K]

Answer:

250 batches of muffins and 0 waffles.

Step-by-step explanation:

-1

If we denote the number of batches of muffins as "a" and the number of batches of waffles as "b," we are then supposed to maximize the profit function

P = 2a + 1.5b

subject to the following constraints: a>=0, b>=0, a + (3/4)b <= 250, and 3a + 6b <= 1200. The third constraint can be rewritten as 4a + 3b <= 1000.

Use the simplex method on these coefficients, and you should find the maximum profit to be $500 when a = 250 and b = 0. So, make 250 batches of muffins, no waffles.

You use up all the dough, have 450 minutes left, and have $500 profit, the maximum amount.

6 0
3 years ago
What is the volume of a rectangular prism with a length of 12 feet, a width of 7 feet, and a height of 8 feet?
Bingel [31]

Answer:

672

Step-by-step explanation:

V=LWH

V=12*7*8

V=672

6 0
3 years ago
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Question 12.12. In 2010, the population of a city was 65,903. It was expected to grow at a rate of 0.7% each year.
postnew [5]

y=Ce^{kx}

k=0.7%=0.007

65903=Ce^{.007(0)} \\  65903=Ce^0 \\  65903=C(1) \\ C = 65903

y=65903e^{0.007(2027-2010)}\\y=65903e^0.229 \\ y = 74231.157

The best answer is 74,200

8 0
3 years ago
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