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3 years ago

The volume of a cube is V = s³, where s is the length of one edge of the cube.

Mathematics

2 answers:

Allisa [31]3 years ago

6 0

Answer: 9.99 inches

Step-by-step explanation:

Given: The volume of a cube is $V = s^3$ , where s is the length of one edge of the cube.

If the volume of the cube = $999\ in^3$

Then, substitute V = 999 in the above formula , we get

$s^3=999$

Now, taking cube root on the both the sides, we get

$s=\sqrt[3]{999}=9.99666555\approx9.99$

Hence, the edge length for each cube = 9.99 inches.

gulaghasi [49]3 years ago

3 0

The answer is 999----------over 3? im not to sure.

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Which expression is equivalent to *picture attached*

DiKsa [7]

Answer:

The correct option is;

$4 \left (\dfrac{50 (50+1) (2\times 50+1)}{6} \right ) +3 \left (\dfrac{50(51) }{2} \right )$

Step-by-step explanation:

The given expression is presented as follows;

$\sum\limits _{n = 1}^{50}n\times \left (4\cdot n + 3 \right )$

Which can be expanded into the following form;

$\sum\limits _{n = 1}^{50} \left (4\cdot n^2 + 3 \cdot n\right ) = 4 \times \sum\limits _{n = 1}^{50} \left n^2 + 3 \times\sum\limits _{n = 1}^{50} n$

From which we have;

$\sum\limits _{k = 1}^{n} \left k^2 = \dfrac{n \times (n+1) \times(2n+1)}{6}$

$\sum\limits _{k = 1}^{n} \left k = \dfrac{n \times (n+1) }{2}$

Therefore, substituting the value of n = 50 we have;

$\sum\limits _{n = 1}^{50} \left k^2 = \dfrac{50 \times (50+1) \times(2\cdot 50+1)}{6}$

$\sum\limits _{k = 1}^{50} \left k = \dfrac{50 \times (50+1) }{2}$

Which gives;

$4 \times \sum\limits _{n = 1}^{50} \left n^2 = 4 \times \dfrac{n \times (n+1) \times(2n+1)}{6} = 4 \times \dfrac{50 \times (50+1) \times(2 \times 50+1)}{6}$

$3 \times\sum\limits _{n = 1}^{50} n = 3 \times \dfrac{n \times (n+1) }{2} = 3 \times \dfrac{50 \times (51) }{2}$

$\sum\limits _{n = 1}^{50}n\times \left (4\cdot n + 3 \right ) = 4 \times \dfrac{50 \times (50+1) \times(2\times 50+1)}{6} +3 \times \dfrac{50 \times (51) }{2}$

Therefore, we have;

$4 \left (\dfrac{50 (50+1) (2\times 50+1)}{6} \right ) +3 \left (\dfrac{50(51) }{2} \right )$ .

4 0

3 years ago

What is the volume of a right circular cylinder with a radius of 4 m and a height of 4 m?

CaHeK987 [17]

Answer:

64π m³

Step-by-step explanation:

The general formula for the volume of a cylinder:

V = πr²h, where 'r' is the radius and 'h' is the height

In the given problem, the radius is equal to 4 m and the height is equal to 4 m. Plugging these values into the equation:

V = π4²(4) = π16*4 = 64π m³

5 0

4 years ago

Ali bought 2.152.15 pounds of turkey at $7.89$7.89 per pound, and 1.871.87 pounds of lamb at $7.89$7.89 per pound. Which express

Stella [2.4K]

In order to calculate the total cost of the purchase, we must first assess that there were two items bought, turkey and lamb. Next, we see multiply the cost of the first item by its quantity, so:
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Finally, the total cost is the sum of these costs. So
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4 years ago

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Trava [24]

Can you please repost with the image?

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3 years ago

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shepuryov [24]

Answer:

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