Please help me with this question !!!!

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

LekaFEV [45]

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

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 4 centimeters, and its dimensions are 4 centimeters × 4 centimeters × 4 centimeters.

Learn more about the volume of a cube at

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4 0

1 year ago

PLEASE HELP!!!!!!!!!!! I SUCK AT MATH AND I CAN'T FIGURE THIS OUT!

nikdorinn [45]

Answer:

$25.97

Step-by-step explanation:

2.50+8.75+3+10.25 = 24.50 This is the items be bought and now needs to pay 6% tax.

24.50/100*106 = 25.97

8 0

2 years ago

Read 2 more answers

Lisa wants to cover the top of the lid in beads. She has enough beads to cover 42 square centimeters. Find the area of the lid.

Free_Kalibri [48]

Well this depends on the the the size of the cover

6 0

2 years ago

A glass contains alcohol and water in the ratio 1:4. A second glass contains the same quantity of liquid, but this time the rati

AnnyKZ [126]

Answer:

3:7

Step-by-step explanation:

So to solve this problem, you have to understand what the ratio 1:4 and 2:3 means. The 1:4 ratio in the first equation means that for "each unit of alcohol" there is 4 of those units of water. So let's say I had 2 gallons of alcohol and mixed it with 8 gallons of water. This means for each gallon of alcohol, there is 4 gallons of water, or in other words a 1:4 ratio. This can be described as a percentage as well. For each 5 gallons there are 4 gallons of water, and 1 gallon of alcohol or 20% is alcohol. So let's just say that x=alcohol and y=water, this means that: $x+y=c$ where c is the total amount in the glass. This means that: $x=0.20c$

Let's do the same thing to the second equation. the ratio means that for every 2 units of alcohol there are 3 units of water. This means for every 5 gallons of the mixture there is 2 units of alcohol which is 40%. In this case let's also say that j=alcohol and k=water. This means that: $j+k=c$ and that: $j=0.40c$ .

So if we're going to add the two glasses, we simply add the two sides, and get: $j+x+k+y=2c$ . Now remember how can can express j and x in terms of c, since it's a certain percentage of c (the entire thing). This means that we get: $(0.4c+0.2c)+x+k=2c$ Now we can add like terms to get the equation: $0.6c+y+k=2c$ . We can find how much 0.6c is to 2c by dividing the 2, in doing so we get that 0.6c/2c = 0.3, or in other words the 0.6c is only 30% of the final mixture, and since the 0.6c represents the alcohol in this mixture, that means that's the percentage of alcohol. To write this as a ratio, this means for every 3 units of alcohol, there is 7 units of water, because 3/10 = 30%.