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m_a_m_a [10]
1 year ago
9

The cube shown below holds 64 cubic centimeters of water. Label the dimensions of the cube.

Mathematics
1 answer:
LekaFEV [45]1 year ago
4 0

The measure of the side of the cube is <u>4 centimeters</u>, and its dimensions are <u>4 centimeters × 4 centimeters × 4 centimeters</u>.

A cube is a solid object in three dimensions with six square faces that all have the same length of sides. Six square faces, eight vertices, and twelve edges make up the form. Since the 3D figure is a square with equal-length sides, the length, breadth, and height of a cube are all the same measurement. The edge, which is regarded as the bounding line of the edge, is the shared border between the faces of a cube. Each face is connected to four vertices and four edges, three vertices are connected to three edges and three faces, and two vertices and two edges are in contact to create the structure.

A cube's volume is the amount of space it takes up. Finding the cube of the cube's side length will provide the volume of the cube.

Cube volume equals a³, where a is the length of a cube's side.

In the question, we are asked to find the dimensions of the cube, given that it holds 64 cubic centimeters of water.

If the cube holds 64 cubic centimeters of water, then we know that the cube's volume is 64 cubic centimeters.

Assuming the length of the side of the cube to be centimeters, we can say that a³ = 64, knowing that a cube volume equals a³, where a is the length of a cube's side.

Thus, we have a³ = 64,

or, a = ∛64,

or, a = 4.

Thus, the measure of the side of the cube is <u>4 centimeters</u>, and its dimensions are <u>4 centimeters × 4 centimeters × 4 centimeters</u>.

Learn more about the volume of a cube at

brainly.com/question/1972490

#SPJ9

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15

Step-by-step explanation:

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What equation results from completing the squre and then factoring x^2+10=15
nlexa [21]

For this case we must complete squares:

x ^ 2 + 10x = 15

We add the square of half the coefficient of the term "x",

(\frac {b} {2a}) ^ 2 on both sides of the equation:

x^2+10x+(\frac {10} {2 (1)}) ^ 2 = 25 + 15\\x ^ 2 + 10x + 5 ^ 2 = 25 + 15

According to the perfect square trinomial we have:

(a + b) ^ 2 = a ^2 + 2ab + b ^ 2

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ANswer:

(x + 5) ^ 2 = 40

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3 years ago
The expression 20l + 25g - 10 gives the number of dollars that Josie makes from mowing lawns and raking gardens.
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20l + 25g -10
replace G with 4 and L with 3

20(3) + 25(4) - 10

60 + 100 - 10

160 - 10

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he made $150
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Determine the number of ways to choose a set of 9 pencils from a selection of 10.
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A local gym instructor has a course load that allows her to teach eight classes. At an interest meeting, 8 people wanted high-­‐
cricket20 [7]

Answer:

<u>The final curse load of the local gym instructor is this:</u>

<u>High-­‐impact aerobics = 1</u>

<u>Low-­‐impact aerobics =  4</u>

<u>Jazzercise = 1</u>

<u>Step exercise = 2</u>

Step-by-step explanation:

1. Let's apportion the class load using the Hamilton method

Number of classes the local gym instructor can teach = 8

Total number of students that want to take a class = 114 (8 people wanted high-­‐impact aerobics, 64 wanted low-­‐impact aerobics, 11 wanted jazzercise, and 31 wanted step exercise)

Standard divisor = 114/8 = 14.25

Now, we can apportion the students in in Standard quotas, this way:

High-­‐impact aerobics = 8/14.25 = 0.5614

Low-­‐impact aerobics = 64/14.25 = 4.49

Jazzercise = 11/14.25 = 0.7719

Step exercise = 31/14.25 = 2.1754

Now, we find the Minimum quota, just considering the whole number and don't taking into account the decimals, this way:

High-­‐impact aerobics = 0

Low-­‐impact aerobics =  4

Jazzercise = 0

Step exercise = 2

As we can see we have 6 classes and there are 2 still pending. Those 2 goes to the classes with the highest decimal portion, in this case, Jazzercise .7719 and High-­‐impact aerobics with .5614.

<u>The final course load is this:</u>

<u>High-­‐impact aerobics = 1</u>

<u>Low-­‐impact aerobics =  4</u>

<u>Jazzercise = 1</u>

<u>Step exercise = 2</u>

7 0
3 years ago
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