Let’s solve each problem step by step.
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Problem 1: Rectangular prism with l = 12 cm, w = 4 cm, h = 8 cm
Formula: Volume = length × width × height
So:
12 × 4 × 8
First, 12 × 4 = 48
Then, 48 × 8 = 384
✔ Volume =
384 cubic cm
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Problem 2: Cube with l = 5 mm, w = 5 mm, h = 5 mm
Since all sides are equal, it’s a cube — but we still use the same formula.
5 × 5 × 5
5 × 5 = 25
25 × 5 = 125
✔ Volume =
125 cubic mm
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Problem 3: Carl’s cooler — l = 2 ft, w = 4 ft, h = 2 ft
Volume = 2 × 4 × 2
2 × 4 = 8
8 × 2 = 16
✔ Volume =
16 cubic ft
*(Note: You were asked to draw and label — since this is text, we’ll skip drawing, but you should sketch a box and write “l=2ft”, “w=4ft”, “h=2ft” on the sides.)*
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Problem 4: Susan’s aquarium — h = 3 ft, w = 2 ft, l = 5 ft
Order doesn’t matter in multiplication. Let’s do:
5 × 2 × 3
5 × 2 = 10
10 × 3 = 30
✔ Volume =
30 cubic ft
*(Again, draw a box and label: length=5ft, width=2ft, height=3ft.)*
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Final Answer:
- First shape: 12 x 4 x 8 = 384 → The volume of the shape is
384 cubic cm.
- Second shape: 5 x 5 x 5 = 125 → The volume of the shape is
125 cubic mm.
- Carl’s cooler: The volume of the cooler is
16 cubic ft.
- Susan’s aquarium: The volume of the aquarium is
30 cubic ft.
Parent Tip: Review the logic above to help your child master the concept of volume rectangular prisms worksheet.