All categories

3 years ago

Find the side length of a cube with a volume of 69cm^3. If necessary, round your answer to the nearest tenth

Mathematics

1 answer:

Alex73 [517]3 years ago

3 0

Answer:

4.1 centimeters

Step-by-step explanation:

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

$V=s^3$

We know that the volume of the cube is 69 cm^3, therefore we can substitute 69 cm^3 in for V (volume).

$69 cm^3=s^3$

We want to find out what<em> s</em> (side length) is. Therefore, we must get<em> s </em>by itself.

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

$\sqrt[3]{69 cm^3} =\sqrt[3]{s^3}$

$\sqrt[3]{69 cm^3}=s$

$4.10156593 cm=s$

The question tell us to round to the nearest tenth. The 0 in the hundredth place indicates we should leave the 1 in the tenth place.

$4.1 cm=s$

The side length of the cube is 4.1 centimeters.

You might be interested in

Identify the two triangle congruence criteria that do NOT guarantee congruence. Explain why they do not guarantee congruence, an

Mashcka [7]

Answer: Hello mate!

there are two congruence criteria that do not guarantee congruence:

AAA ( or 3 angles)

two triangles can have the same 3 angles, but different size, then they are not congruent; an example of this is:

take the triangle rectangle of both cathetus = 1 and hypotenuse = √2, where the angles are 90°, 45° and 45°

and now take the triangle rectangle with both cathetus = 2 and hypotenuse = √8, this triangle also has the angles 90°, 45°, and 45°, so this two triangles succeed the AAA criteria, but are not congruent.

SSA (side-side-angle)

If two triangles satisfy the SSA criteria and the corresponding angles are acute and the length of the side opposite to the angle is greater than the length of the adjacent side multiplied by the sine of the angle (but less than the length of the adjacent side), then the two triangles are not necessarily congruent.

This is kinda harder to illustrate;

think on a triangle rectangle where you have the measure of both cathetus and one of the angles different from 90° as the SSA data.

and now think on another triangle that has the same adjacent cathetus and angle, and where the other cathetus is rotated (in a sense where 90° is decreasing) to the point where its tip intercepts the hypotenuse of the first triangle.

Those two triangles meet the SSA criteria but are not congruent.

7 0

3 years ago

A container holds 6 quarts of lemonade. How much is this in cups?

sdas [7]

Well, 4 cups = 1 quart, so 4 *6= 24 cups in 6 quarts of lemonade.

6 0

3 years ago

Does anyone know anyone who has Angelman or happy puppet syndrome?

ankoles [38]

No i don't but if u need anything else about this syndrome feel free to ask

8 0

3 years ago

2*10⁴-7³ please help

melisa1 [442]

Answer:

19657

Step-by-step explanation:

By PEMDAS, we know we have to calculate the exponents first, then multiply the 2, and then subtract the 7³

2*10⁴ = 20000

20000 - 7³ = 19657

This is the third time I've seen this question. Are you posting this question again and again?

7 0

2 years ago

Wich integer in the set has the greatest value (-144, -4, -3, -13)

castortr0y [4]

Answer:

the answer is -3

its just opposite to the normal when we check negative numbers.

7 0

3 years ago