### All Common Core: High School - Geometry Resources

## Example Questions

### Example Question #1 : Geometric Methods To Solve Design Problems: Ccss.Math.Content.Hsg Mg.A.3

Find the volume of a cube, if its surface area is .

Round your answer to decimal places.

**Possible Answers:**

**Correct answer:**

In order to find the volume, we need to remember the equation that involves both surface area, and volume.

Where is surface area and l is the length.

Now we plug 539 for and solve for .

Now since we have the width, we can plug it into the volume formula, which is

Where w is the width and V volume.

Now plug in for .

So the final answer is.

### Example Question #2 : Geometric Methods To Solve Design Problems: Ccss.Math.Content.Hsg Mg.A.3

Find the volume of a cube, if its surface area is .

Round your answer to decimal places.

**Possible Answers:**

**Correct answer:**

In order to find the volume, we need to remember the equation that involves both surface area, and volume.

Where is surface area and is the length.

Now we plug 715 for and solve for .

Now since we have the width, we can plug it into the volume formula, which is

Where is the width and volume.

Now plug in 119.16666666666667 for .

So the final answer is.

### Example Question #3 : Geometric Methods To Solve Design Problems: Ccss.Math.Content.Hsg Mg.A.3

Find the volume of a cube, if its surface area is .

Round your answer to decimal places.

**Possible Answers:**

**Correct answer:**

In order to find the volume, we need to remember the equation that involves both surface area, and volume.

Where is surface area and is the length.

Now we plug 925 for and solve for .

Now since we have the width, we can plug it into the volume formula, which is

Where w is the width and volume.

Now plug in 154.16666666666666 for .

So the final answer is.

### Example Question #4 : Geometric Methods To Solve Design Problems: Ccss.Math.Content.Hsg Mg.A.3

Find the volume of a cube, if its surface area is .

Round your answer to decimal places.

**Possible Answers:**

**Correct answer:**

Where is surface area and is the length.

Now we plug 729 for and solve for .

Now since we have the width, we can plug it into the volume formula, which is

Where is the width and volume.

Now plug in 121.5 for .

So the final answer is.

### Example Question #5 : Geometric Methods To Solve Design Problems: Ccss.Math.Content.Hsg Mg.A.3

Find the volume of a cube, if its surface area is .

Round your answer to decimal places.

**Possible Answers:**

**Correct answer:**

Where is surface area and is the length.

Now we plug 584 for and solve for .

Now since we have the width, we can plug it into the volume formula, which is

Where is the width and volume.

Now plug in 97.33333333333333 for .

So the final answer is.

### Example Question #6 : Geometric Methods To Solve Design Problems: Ccss.Math.Content.Hsg Mg.A.3

Find the volume of a cube, if its surface area is .

Round your answer to decimal places.

**Possible Answers:**

**Correct answer:**

Where is surface area and is the length.

Now we plug 744 for and solve for .

Now since we have the width, we can plug it into the volume formula, which is

Where is the width and volume.

Now plug in 124.0 for .

So the final answer is.

### Example Question #7 : Geometric Methods To Solve Design Problems: Ccss.Math.Content.Hsg Mg.A.3

Find the volume of a cube, if its surface area is .

Round your answer to decimal places.

**Possible Answers:**

**Correct answer:**

Where is surface area and is the length.

Now we plug 511 for and solve for .

Now since we have the width, we can plug it into the volume formula, which is

Where w is the width and V volume.

Now plug in 85.16666666666667 for .

So the final answer is.

### Example Question #8 : Geometric Methods To Solve Design Problems: Ccss.Math.Content.Hsg Mg.A.3

Find the volume of a cube, if its surface area is .

Round your answer to decimal places.

**Possible Answers:**

**Correct answer:**

Where is surface area and is the length.

Now we plug 520 for and solve for .

Now since we have the width, we can plug it into the volume formula, which is

Where is the width and volume.

Now plug in 86.66666666666667 for .

So the final answer is.

### Example Question #9 : Geometric Methods To Solve Design Problems: Ccss.Math.Content.Hsg Mg.A.3

Find the volume of a cube, if its surface area is .

Round your answer to decimal places.

**Possible Answers:**

**Correct answer:**

Where is surface area and is the length.

Now we plug 897 for and solve for .

Now since we have the width, we can plug it into the volume formula, which is

Where is the width and volume.

Now plug in 149.5 for .

So the final answer is.

### Example Question #10 : Geometric Methods To Solve Design Problems: Ccss.Math.Content.Hsg Mg.A.3

Find the volume of a cube, if its surface area is .

Round your answer to decimal places.

**Possible Answers:**

**Correct answer:**

Where is surface area and is the length.

Now we plug 800 for and solve for .

Now since we have the width, we can plug it into the volume formula, which is

Where w is the width and volume.

Now plug in 133.33333333333334 for .

So the final answer is.

### All Common Core: High School - Geometry Resources

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