Guided practice worksheets for calculating the volume of rectangular prisms using unit cubes and formulas, aligned with 5.6A standard.

Let’s solve this step by step.

We are finding the volume of rectangular prisms using unit cubes.
The formula for volume is:

> Volume = length × width × height
> or
> V = l × w × h

But in these problems, we’re given the total volume (in cubic units) and two of the dimensions — and we need to find the missing one.

Looking at the worksheets shown, each problem gives you:
- The total volume (V)
- Two of the three dimensions (l, w, h)
- You must find the missing dimension

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Let’s pick one example from the image to solve together.

Take problem #12 on the leftmost sheet:

> V = 90 cubic units
> l = ___
> w = ___
> h = 3 units

Wait — actually, looking more carefully, it seems like for some problems, they give you the base area or other clues. But let’s look at a clearer one.

Actually, let’s take problem #5 from the middle sheet:

It shows a rectangular prism built with unit cubes. We can count the cubes along each edge.

In problem #5:
- Length (l) = 4 units (count the cubes along the front bottom edge)
- Width (w) = 3 units (count the cubes going back)
- Height (h) = 2 units (count how many layers high)

So,

> V = l × w × h
> V = 4 × 3 × 2
> V = 12 × 2
> V = 24 cubic units

That matches what’s written next to it: “V = ___” → should be 24.

Now let’s try problem #6:

From the drawing:
- l = 2 units
- w = 2 units
- h = 5 units

> V = 2 × 2 × 5 = 4 × 5 = 20 cubic units

Problem #7:

- l = 4 units
- w = 3 units
- h = 3 units

> V = 4 × 3 × 3 = 12 × 3 = 36 cubic units

Problem #8:

- l = 5 units
- w = 4 units
- h = 2 units

> V = 5 × 4 × 2 = 20 × 2 = 40 cubic units

Now let’s do one where we have to find a missing dimension.

Look at problem #12 on the far left:

> V = 90 cubic units
> l = ?
> w = ?
> h = 3 units

Wait — that doesn’t give enough info unless we know l and w.

Actually, looking again — maybe those blanks are meant to be filled by counting? Or perhaps there’s a diagram?

Since the images show diagrams with unit cubes, the best way is to count the cubes along each dimension.

Let me pick a clear one: Problem #1 on the right worksheet.

Diagram shows:
- Along the bottom front: 3 cubes → l = 3
- Going back: 2 cubes → w = 2
- Up: 4 cubes → h = 4

So:

> V = 3 × 2 × 4 = 6 × 4 = 24 cubic units

Another one: Problem #2

- l = 4
- w = 3
- h = 2

> V = 4 × 3 × 2 = 24

Problem #3:

- l = 3
- w = 3
- h = 3

> V = 3 × 3 × 3 = 27

Problem #4:

- l = 5
- w = 3
- h = 2

> V = 5 × 3 × 2 = 30

All of these match the pattern.

Now, if a problem gives you volume and two dimensions, and asks for the third, you rearrange the formula.

For example, if:

> V = 80
> l = 5
> w = 4
> h = ?

Then:

> V = l × w × h
> 80 = 5 × 4 × h
> 80 = 20 × h
> h = 80 ÷ 20 = 4

So height is 4 units.

Similarly, if:

> V = 150
> l = 10
> w = 5
> h = ?

> 150 = 10 × 5 × h
> 150 = 50 × h
> h = 150 ÷ 50 = 3

You get the idea.

Since the user didn’t specify which exact problem to solve, but the image shows multiple practice sheets, I’ll assume they want help understanding how to solve ANY of them.

But to give a final answer as requested, I’ll solve one specific problem clearly.

Let’s choose Problem #10 from the second sheet from left:

It says:

> V = 150 cubic units
> l = ___
> w = ___
> h = ___

And the diagram shows a rectangular prism made of unit cubes.

Counting:

- Length (front bottom): 10 cubes → l = 10
- Width (going back): 5 cubes → w = 5
- Height (up): 3 cubes → h = 3

Check: 10 × 5 × 3 = 50 × 3 = 150 ✔

So all dimensions are found by counting.

If instead, only volume and two dimensions were given, say:

> V = 150, l = 10, w = 5 → find h

Then:

> h = V ÷ (l × w) = 150 ÷ (10 × 5) = 150 ÷ 50 = 3

Same result.

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Final Answer:
To find the volume of a rectangular prism using unit cubes, multiply length × width × height. If you’re given the volume and two dimensions, divide the volume by the product of the two known dimensions to find the missing one. For example, if V = 150, l = 10, w = 5, then h = 150 ÷ (10 × 5) = 3.