# Common Core: 5th Grade Math : Recognize Volume as Additive: CCSS.Math.Content.5.MD.C.5c

## Example Questions

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### Example Question #1 : Recognize Volume As Additive: Ccss.Math.Content.5.Md.C.5c

Erica is going on a vacation. One of her suitcases has a volume of 3 cubic feet, and the other has a volume of 2 cubic feet. What is the total volume of Erica's two suitcases?

6 cubic feet

Not enough information

25 cubic feet

5 cubic feet

1 cubic foot

5 cubic feet

Explanation:

### Example Question #1 : Recognize Volume As Additive: Ccss.Math.Content.5.Md.C.5c

What is the volume of the figure below?

Explanation:

If you look closely at this figure, you can see that it is made up of two rectangular prisms. In order to solve for the volume, we need to find the volume of each rectangular prism and then add the volumes together to find the total.

In order to find the length of the rectangular prism on the right, we had to take the length of the original figure (which was ) and subtract the length of the rectangular prism on the left (which is )

Now that we have the dimensions of both our rectangular prisms, we can solve for the volumes.

Remember, the formula for volume is

and

and

Next, we add the volumes together to solve for the total volume of the original figure.

*Remember, volume is always measured in cubic units!

### Example Question #2 : Recognize Volume As Additive: Ccss.Math.Content.5.Md.C.5c

What is the volume of the figure below?

Explanation:

If you look closely at this figure, you can see that it is made up of two rectangular prisms. In order to solve for the volume, we need to find the volume of each rectangular prism and then add the volumes together to find the total.

In order to find the length of the rectangular prism on the right, we had to take the length of the original figure (which was ) and subtract the length of the rectangular prism on the left (which is )

Now that we have the dimensions of both our rectangular prisms, we can solve for the volumes.

Remember, the formula for volume is

and

and

Next, we add the volumes together to solve for the total volume of the original figure.

*Remember, volume is always measured in cubic units!

### Example Question #3 : Recognize Volume As Additive: Ccss.Math.Content.5.Md.C.5c

What is the volume of the figure below?

Explanation:

If you look closely at this figure, you can see that it is made up of two rectangular prisms. In order to solve for the volume, we need to find the volume of each rectangular prism and then add the volumes together to find the total.

In order to find the length of the rectangular prism on the right, we had to take the length of the original figure (which was ) and subtract the length of the rectangular prism on the left (which is )

Now that we have the dimensions of both our rectangular prisms, we can solve for the volumes.

Remember, the formula for volume is

and

and

Next, we add the volumes together to solve for the total volume of the original figure.

*Remember, volume is always measured in cubic units!

### Example Question #4 : Recognize Volume As Additive: Ccss.Math.Content.5.Md.C.5c

What is the volume of the figure below?

Explanation:

If you look closely at this figure, you can see that it is made up of two rectangular prisms. In order to solve for the volume, we need to find the volume of each rectangular prism and then add the volumes together to find the total.

In order to find the length of the rectangular prism on the right, we had to take the length of the original figure (which was ) and subtract the length of the rectangular prism on the left (which is )

Now that we have the dimensions of both our rectangular prisms, we can solve for the volumes.

Remember, the formula for volume is

and

and

Next, we add the volumes together to solve for the total volume of the original figure.

*Remember, volume is always measured in cubic units!

### Example Question #5 : Recognize Volume As Additive: Ccss.Math.Content.5.Md.C.5c

What is the volume of the figure below?

Explanation:

If you look closely at this figure, you can see that it is made up of two rectangular prisms. In order to solve for the volume, we need to find the volume of each rectangular prism and then add the volumes together to find the total.

In order to find the length of the rectangular prism on the right, we had to take the length of the original figure (which was ) and subtract the length of the rectangular prism on the left (which is )

Now that we have the dimensions of both our rectangular prisms, we can solve for the volumes.

Remember, the formula for volume is

and

and

Next, we add the volumes together to solve for the total volume of the original figure.

*Remember, volume is always measured in cubic units!

### Example Question #6 : Recognize Volume As Additive: Ccss.Math.Content.5.Md.C.5c

What is the volume of the figure below?

Explanation:

If you look closely at this figure, you can see that it is made up of two rectangular prisms. In order to solve for the volume, we need to find the volume of each rectangular prism and then add the volumes together to find the total.

In order to find the length of the rectangular prism on the right, we had to take the length of the original figure (which was ) and subtract the length of the rectangular prism on the left (which is )

Now that we have the dimensions of both our rectangular prisms, we can solve for the volumes.

Remember, the formula for volume is

and

and

Next, we add the volumes together to solve for the total volume of the original figure.

*Remember, volume is always measured in cubic units!

### Example Question #4 : Recognize Volume As Additive: Ccss.Math.Content.5.Md.C.5c

What is the volume of the figure below?

Explanation:

If you look closely at this figure, you can see that it is made up of two rectangular prisms. In order to solve for the volume, we need to find the volume of each rectangular prism and then add the volumes together to find the total.

In order to find the length of the rectangular prism on the right, we had to take the length of the original figure (which was ) and subtract the length of the rectangular prism on the left (which is )

Now that we have the dimensions of both our rectangular prisms, we can solve for the volumes.

Remember, the formula for volume is

and

and

Next, we add the volumes together to solve for the total volume of the original figure.

*Remember, volume is always measured in cubic units!

### Example Question #8 : Recognize Volume As Additive: Ccss.Math.Content.5.Md.C.5c

What is the volume of the figure below?

Explanation:

If you look closely at this figure, you can see that it is made up of two rectangular prisms. In order to solve for the volume, we need to find the volume of each rectangular prism and then add the volumes together to find the total.

In order to find the length of the rectangular prism on the right, we had to take the length of the original figure (which was ) and subtract the length of the rectangular prism on the left (which is )

Now that we have the dimensions of both our rectangular prisms, we can solve for the volumes.

Remember, the formula for volume is

and

and

Next, we add the volumes together to solve for the total volume of the original figure.

*Remember, volume is always measured in cubic units!

### Example Question #5 : Recognize Volume As Additive: Ccss.Math.Content.5.Md.C.5c

What is the volume of the figure below?

Explanation:

If you look closely at this figure, you can see that it is made up of two rectangular prisms. In order to solve for the volume, we need to find the volume of each rectangular prism and then add the volumes together to find the total.

In order to find the length of the rectangular prism on the right, we had to take the length of the original figure (which was ) and subtract the length of the rectangular prism on the left (which is )

Now that we have the dimensions of both our rectangular prisms, we can solve for the volumes.

Remember, the formula for volume is

and

and

Next, we add the volumes together to solve for the total volume of the original figure.

*Remember, volume is always measured in cubic units!

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