Let’s solve each question step by step.
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Question 1:
We are given a rectangular prism made of small cubes. Let’s count how many cubes there are in total — that will give us the volume in cubic units.
Looking at the shape:
- Length (how many cubes along the front): 4
- Width (how many cubes deep): 2
- Height (how many layers tall): 3
Volume = length × width × height
= 4 × 2 × 3
= 8 × 3
=
24
Since it’s volume, we use “cubic units”, not square units.
So the correct answer is
24 cubic units.
→ Option C
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Question 2:
This looks like a cube made of smaller cubes.
Count:
- Along one side: 3 cubes
- So it’s 3 × 3 × 3
Volume = 3 × 3 × 3 = 9 × 3 =
27
Again, volume → cubic units.
→ Option A:
27 cubic units
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Question 3:
This prism has colored blocks, but we just need to count total cubes.
Look at the base layer (bottom row):
- It’s 3 cubes long and 2 cubes wide → 3 × 2 = 6 cubes per layer
How many layers? We can see 2 layers (green on bottom, blue/red/yellow on top).
Wait — actually, looking carefully:
The figure shows:
- Bottom layer: green + yellow → 3 green + 1 yellow = 4? Wait, no — let’s think differently.
Actually, from the drawing:
It’s 3 cubes long, 2 cubes wide, and 2 cubes high.
Because:
- Front face: 3 across, 2 up → so height = 2
- Depth: you can see 2 rows going back (because of the colors — red/blue on top row, green/yellow below)
So dimensions: 3 (length) × 2 (width) × 2 (height)
Volume = 3 × 2 × 2 = 6 × 2 =
12
→ Option C:
12 cubic units
*(Note: Even though some cubes are different colors, they’re still part of the same solid — we count all of them.)*
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Question 4:
When you multiply length × width for a 3D figure, what do you get?
That gives you the area of the
base of the figure.
For example, if you have a box sitting on a table, the part touching the table is the base — its area is length × width.
Then, to get volume, you multiply that base area by the height.
So: length × width =
base (area of the base)
→ Option C:
base
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Final Answer:
1. C
2. A
3. C
4. C
Parent Tip: Review the logic above to help your child master the concept of volume practice worksheet.