### All Common Core: 7th Grade Math Resources

## Example Questions

### Example Question #1 : Finding Volume Of A Cube

If a cube is inches tall, what is its volume?

**Possible Answers:**

Not enough information provided.

**Correct answer:**

To find the volume of a cube, we multiply length by width by height, which can be represented with the forumla . Since a cube has equal sides, we can use for all three values.

### Example Question #61 : Volume

What is the volume of a cube with a side length equal to inches?

**Possible Answers:**

**Correct answer:**

The volume of a a cube (or rectangular prism) can be solved using the following equation:

### Example Question #1 : How To Find The Volume Of A Cube

Give the volume of a cube with surface area 150 square inches.

**Possible Answers:**

**Correct answer:**

Let be the length of one edge of the cube. Since its surface area is 150 square inches, one face has one-sixth of this area, or square inches. Therefore, , and .

The volume is the cube of this, or cubic inches.

### Example Question #4 : Finding Volume Of A Cube

Give the volume of a cube with surface area 240 square inches.

**Possible Answers:**

**Correct answer:**

Let be the length of one edge of the cube. Since its surface area is 240 square inches, one face has one-sixth of this area, or square inches. Therefore, , and .

The volume is the cube of this, or cubic inches.

### Example Question #5 : Finding Volume Of A Cube

Calculate the volume of the provided figure.

**Possible Answers:**

**Correct answer:**

In order to solve this problem, we need to recall the volume formula for a cube:

Now that we have the correct formula, we can substitute in our known values and solve:

### Example Question #6 : Finding Volume Of A Cube

Calculate the volume of the provided figure.

**Possible Answers:**

**Correct answer:**

In order to solve this problem, we need to recall the volume formula for a cube:

Now that we have the correct formula, we can substitute in our known values and solve:

### Example Question #7 : Finding Volume Of A Cube

Calculate the volume of the provided figure.

**Possible Answers:**

**Correct answer:**

In order to solve this problem, we need to recall the volume formula for a cube:

Now that we have the correct formula, we can substitute in our known values and solve: