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2 years ago

The volume of the cube is equal to four times the area of one of its faces. What is the volume of the cube?.

Mathematics

2 answers:

kaheart [24]2 years ago

8 0

Given: V of cube = 4s^2, where s is the length of just one edge of the cube.

fomenos2 years ago

4 0

Answer: 64 in.^3

Step-by-step explanation:

one side of the length of the cube is x.

Therefore the area is x^2

volumes is x^3

volume is 4 times the area of one face

v (X^3) = 4 * x^2

to make the equation equal x has to be 4.

X^3 = 4 * x^2

which is, 4^3 = 4 * 4^2 (4*4*4 = 4*4*4)

therefore the v is 64in.^3

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if angle 1 and angle 2 form a linear pair. if m<1=5x+9 and m<2=3x+11, find the measure of both angles

Ulleksa [173]

Answer: $m\angle 1=109\°\\m\angle 2=71\°$

Step-by-step explanation:

It is important to remember the definition of "Linear pair angles".

By definitiion "Linear pair angles" are two angles which are adjacents and supplementary.

Based on this, we know that the angles $\angle1$ and $\angle2$ are supplementary, which means that they add up to 180 degrees.

So, knowing that:

$m\angle 1=5x+9\\m\angle 2=3x+11$

We can write the following expression and solve for "x":

$(5x+9)+(3x+11)=180\\\\8x=180-20\\\\x=\frac{160}{8}\\\\x=20$

Therefore, substituting, we get that the measures of the angles $\angle1$ and $\angle2$ are:

$m\angle 1=5(20)+9=109\°\\\\\\m\angle 2=3(20)+11=71\°$

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Doss [256]

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Vikentia [17]

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Step-by-step explanation:

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