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3 years ago

The volume of a cube is 343 cubic centimeter.What is the surface area of the cube

2 answers:

7 0

$The\ volume\ of\ the\ cube:V=a^3\ (a-length\ of\ an\ edge)\\\\V=343 cm^3\to a^3=343cm^3\to a=\sqrt[3]{343cm^3}\to \boxed{a=7cm}\\\\because\ 7^3=343\\-------------------------------\\\\the\ surface\ area\ of\ the\ cube:A_S=6a^2\\\\therefore\\\\A_S=6\cdot7^2=6\cdot49=\boxed{294\ (cm^2)}$

stealth61 [152]3 years ago

7 0

$\rm The~side~of~the~cube:~\bold{S} \\ \\ V=343 \\ \\ S^3=343 \\ \\ S= \sqrt[3]{343} \\ \\ S=7~cm \\ \\ A=6*A^2 \\ \\ A=6*7^2 \\ \\ A=6*49 \\ \\ \bold{\underline{A=294~cm^2}}$

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3 years ago

An urn contains green and red balls. six balls are randomly drawn from the urn in succession, with replacement. that is, after e

ANEK [815]

0.022 might be the answer.

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3 years ago

A farmer needs to ship 71 pumpkins to a grocery store if each crates can hold 19 pumpkins how many crates Will the farmer need ?

Lesechka [4]

Answer:

The farmer will need 7 crates.

Step-by-step explanation:

It is given that there are 71 pumpkins in total.

And each crate holds 19 pumpkins.

Let the number of crates required be "n".

The total number of pumpkins can be calculated by multiplying number of pumpkins in each crate with total number of crates.

Thus, the equation is

$19(n) = 71$

$n = \frac{71}{19} = 7$

Thus, the farmer needs 7 crates to hold total of 71 pumpkins.

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3 years ago

Select the correct answer from the drop down menu. with references to the figure, sin x =

Lubov Fominskaja [6]

Answer:

.894

Step-by-step explanation:

First thing to do is to solve for the height of the triangle, BD. That's easy. We have the length of the hypotenuse and the base, so Pythagorean's Theorem gives us that the height is 8.003255588 which rounds nicely to 8. Now you have to call on the fond memories you have of the geometric mean in right triangles to solve the rest. For the sin of x you need the hypotenuse of that smaller right triangle on the left, side AB. First let's use geometric mean to find AD. The formula for that, now that we know the height, is

$BD^2=(AD)(DC)$

Filling that in with numbers we have

$8^2=(AD)16$ and

64 = 16(AD). Solve for AD to get that AD has a length of 4. Now we know two of the three sides in that smaller triangle on the left and can solve for the hypotenuse.

$8^2+4^2=c^2$ and

$64+16=c^2$ so

c=√80 which simplifies to 4√5. That means that the sin ratio for x is

$\frac{8}{4\sqrt{5} }$

which divides out to .894

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3 years ago

A pair of opposite rays would be.

vodomira [7]

Answer:

Option (4)

Step-by-step explanation:

Definition of a ray states that a segments which connects two points but extending only in one direction infinitely is called as Ray.

Opposite rays will have a common end but the direction of the arrows will be different.

Therefore, from the picture attached,

Opposite rays will be PA and PB.

Option (4) will be the correct option.

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3 years ago