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3 years ago

The volume of a cube is 125m3 if I L of a paint covers 6m2, how many liters of paint are needed to paint the outside of the cube

Mathematics

1 answer:

Effectus [21]3 years ago

6 0

Answer:

36 liters

Step-by-step explanation:

step 1

Find the length side of the cube

we know that

The volume of the cube is given by

$V=b^3$

we have

$V=125\ m^3$

substitute

$125=b^3$

solve for b

$b=5\ m$

step 2

Find the surface area of the cube

The surface area of a cube is equal to

$SA=6b^2$

substitute the value of b

$SA=6(6)^2=216\ m^2$

step 3

Find out how many liters of paint are needed to paint the outside of the cube

we know that

1 L of a paint covers 6m2

so using proportion

$\frac{1}{6}\ \frac{L}{m^2} =\frac{x}{216}\ \frac{L}{m^2} \\\\x=216/6\\\\x=36\ L$

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The measure of one angle of an octagon is two times smaller that of the other seven angles. What is the measure of each angle?

Anestetic [448]

Answer:

7 of the angles measure 144 degrees each and one angle measures 72 degrees

Step-by-step explanation:

Let

x -----> represent the measures of the seven same-size angles,

x/2 ----> represent the measure of the one that is "two times smaller."

we know that

The sum of internal angles of a polygon can be calculated as:

$S=180^o(n-2)$

where

n is the number of sides of the polygon

In this case

n=8 (octagon)

substitute

$S=180^o(8-2)=1,080^o$

The linear equation that represent this problem is

$\frac{x}{2}+7x=1,080$

solve for x

$\frac{15x}{2}=1,080\\\\15x=2,160\\\\x=144^o$

$\frac{x}{2}=72^o$

therefore

7 of the angles measure 144 degrees each and one angle measures 72 degrees

7 0

3 years ago

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gladu [14]

Answer:

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7 0

2 years ago

What is 76.3 rounded to the nearest whole number

MatroZZZ [7]

76.
If the number after the decimal is below five, you round down. If the number is above five, you round up. 76 is your answer.

6 0

3 years ago

What is the area of the sector a.) 10π cm^2b.) 16π cm^2c.) 40π cm^2d.) 64π cm^2

Natalija [7]

Answer:

C. 40π cm²

Explanation:

• The central angle of the sector = 225 degrees

• The radius of the sector = 8cm

For a sector of radius r and central angle θ, we calculate the area using the formula below:

$\text{Area}=\frac{\theta}{360\degree}\times\pi r^2$

Substituting the given values, we have:

$\begin{gathered} \text{Area}=\frac{225}{360}\times\pi\times8^2 \\ =\frac{5}{8}\times64\times\pi \\ =5\times8\times\pi \\ =40\pi cm^2 \end{gathered}$

The area of the sector is 40π cm².

3 0

1 year ago

The local genealogical society in Coles County, Illinois, has compiled records on all 55,914 gravestones in cemeteries in the co

krok68 [10]

Answer:

Step-by-step explanation:

There are 2 ways to proceed further.

Option A is with using the random number table.

Let us assume that each gravestone has a unique number between 1 and 55914.
Choose a row at random from the table.
Take the first number consisting of 5 digits, if the number corresponds with a number between 1 and 55914, then select the corresponding plot, otherwise move on to the next 5 digit-number.

Repeat until 395 gravestones have been selected.

Option B is with using any calculator with capability of generating random integer. Here for example consider any TI series programmable calculator.

Enter the following command into your calculator:

randInt(1,55914,395)

The first and second number are the lower and upper limits between which the values have to lie.
The third number is the number of required selections.

3 0

3 years ago