The length of each edge in the cube is 8 cm.
Calculate the volume and area of the cube.
The length of each edge in the cube is 8 cm.
Calculate the volume and area of the cube.
The area of the cube is 486.
Calculate the length of the side of the cube and its volume.
A cube has edges measuring 5 cm long.
Calculate the volume of the cube.
A cube has edges measuring 4 cm long.
What is the volume of the cube?
A cube has edges measuring 3 cm.
Calculate the volume of the cube.
The length of each edge in the cube is 8 cm.
Calculate the volume and area of the cube.
To solve this problem, we will calculate the volume and surface area of a cube with edge length 8 cm.
Given that the edge length cm, the volume is calculated as follows:
Using the same edge length cm, we find the surface area:
Thus, the calculated volume and surface area of the cube are, respectively, 512 cm and 384 cm.
Therefore, the correct solution to the problem, matching the given answer choices, is choice 1: .
The area of the cube is 486.
Calculate the length of the side of the cube and its volume.
Let's solve this problem step-by-step:
Step 1: Given the surface area , we know the formula for the surface area of a cube is:
Step 2: We need to rearrange this formula to find . The equation becomes:
Step 3: Substitute the given surface area into this equation:
Step 4: Perform the division:
Step 5: Calculate the square root:
Now that we have found the side length, let's find the volume:
Step 6: Use the formula for the volume of a cube:
Step 7: Substitute into the volume formula:
Step 8: Calculate the cube:
Thus, the length of the side of the cube is and the volume of the cube is .
The final answer matches the given multiple choice result:
A cube has edges measuring 5 cm long.
Calculate the volume of the cube.
To solve this problem, we'll calculate the volume of the cube using the formula for the volume of a cube, which is , where is the length of an edge.
Step-by-step solution:
Therefore, the volume of the cube is cm.
Looking at the answer choices, the correct answer is choice 2: cm.
cm³
A cube has edges measuring 4 cm long.
What is the volume of the cube?
The volume of a cube is determined by the formula , where is the length of each edge of the cube.
Given that each edge of the cube measures cm, we proceed as follows:
Continuing with the calculation:
The volume of the cube is therefore cubic centimeters.
Therefore, the solution to the problem is cm³.
cm³
A cube has edges measuring 3 cm.
Calculate the volume of the cube.
To solve this problem, we'll follow these steps:
Now, let's work through each step:
Step 1: The problem states that each edge of the cube is 3 cm long.
Step 2: We use the formula for the volume of a cube: , where is the side length.
Step 3: Substituting the side length into the formula gives us . Calculating this, we have:
.
Therefore, the volume of the cube is cm³.
Given the answer choices, the correct choice is .
cm³
A cube has edges measuring 2 cm.
Calculate the volume of the cube.
The cube has edges measuring 1 cm long.
Calculate the volume of the cube.
A cube has edges measuring 6 cm.
Calculate the volume of the cube.
The edges of a cube are 7 cm long.
Calculate the volume of the cube.
The edges of a cube measure 8 cm.
Calculate the volume of the cube.
A cube has edges measuring 2 cm.
Calculate the volume of the cube.
To solve this problem, we'll follow these steps:
Now, let's work through each step:
Step 1: The problem provides that each edge of the cube measures 2 cm.
Step 2: The formula for the volume of a cube is , where is the edge length.
Step 3: Plugging in the values, we calculate the volume as follows:
Therefore, the volume of the cube is .
cm³
The cube has edges measuring 1 cm long.
Calculate the volume of the cube.
To solve this problem, we will follow a straightforward method.
Step 1: Identify the given information.
The problem states that the edge of the cube is 1 cm long.
Step 2: Apply the formula for the volume of a cube.
The volume of a cube with edge length is given by the formula:
Step 3: Substitute the given edge length into the formula.
Substituting cm into the formula gives:
Step 4: Perform the calculation.
Calculate , which equals 1.
Therefore, the volume of the cube is cm³.
cm³
A cube has edges measuring 6 cm.
Calculate the volume of the cube.
To solve this problem, we will follow these steps:
Step 1: Identify the given information.
Step 2: Apply the formula for the volume of a cube.
Step 3: Perform the calculation to find the volume.
Let's work through these steps:
Step 1: The problem states a cube with edge length cm.
Step 2: The formula to calculate the volume of a cube is .
Step 3: Substitute the given edge length:
cm3
Therefore, the volume of the cube is cm³.
cm³
The edges of a cube are 7 cm long.
Calculate the volume of the cube.
To solve this problem, we'll follow these steps:
Now, let's work through each step:
Step 1: Identify the given information.
The length of each edge of the cube is given as cm.
Step 2: Apply the appropriate formula.
The formula for the volume of a cube where each edge is of length is given by .
Step 3: Perform the necessary calculations.
Plugging in the value of cm, we compute the volume as follows:
Therefore, the volume of the cube is cm³.
cm³
The edges of a cube measure 8 cm.
Calculate the volume of the cube.
To solve this problem, we'll follow these steps:
Now, let's work through each step:
Step 1: The problem gives us the edge length of the cube as 8 cm.
Step 2: We'll use the formula for the volume of a cube, which is , where is the edge length.
Step 3: Plugging the edge length into the formula, we have . This calculates to:
.
Therefore, the volume of the cube is cm³, which is option 2 from the choices given.
cm³
The edges of a cube are 0.5 cm long.
Calculate the volume of the cube.
A cube has edges measuring 10 cm long.
Calculate the volume of the cube.
What is the volume of a cube with sides measuring 2X?
The edges of a cube are 0.5 cm long.
Calculate the volume of the cube.
To solve this problem, we will calculate the volume of a cube using the standard formula for its volume:
Given that each edge of the cube is 0.5 cm, we substitute this value into the formula:
Calculating the cube of 0.5:
However, it is important to recognize that the calculations when simplified produce a fraction:
can be written in fraction form as .
Therefore, the volume of the cube is , which matches the given answer choice.
cm³
A cube has edges measuring 10 cm long.
Calculate the volume of the cube.
To solve this problem, we'll follow these steps:
Let's work through each step:
Step 1: We know the length of each edge of the cube is 10 cm.
Step 2: The formula for the volume of a cube with side length is given by .
Step 3: Plugging the given side length into the formula, we get:
cm³.
Therefore, the volume of the cube is cm³.
cm³
What is the volume of a cube with sides measuring 2X?
To find the volume of a cube, we use the formula:
Here, the side length of the cube is given as . Substituting this into the formula gives:
To expand this expression, apply the cube to every part of the expression:
Thus, the volume of the cube is:
Therefore, the correct answer is:
Thus, the solution to the problem is .