Math worksheet for calculating the volume of cubes with given side lengths.

Explanation:
We are asked to find the volume of each cube. For a cube, all sides are equal, so if the side length is $ s $, then:

$$
\text{Volume} = s^3
$$

We’ll compute each one step by step, being careful with units.

---

1) Side = 12 cm
$$
V = 12^3 = 12 \times 12 \times 12 = 144 \times 12 = 1728 \text{ cm}^3
$$
No decimals needed — it's a whole number.

---

2) Side = $ 3\frac{1}{2} $ ft = $ 3.5 $ ft
$$
V = (3.5)^3 = 3.5 \times 3.5 \times 3.5
$$
First: $ 3.5 \times 3.5 = 12.25 $
Then: $ 12.25 \times 3.5 $
Break it down:
$ 12 \times 3.5 = 42 $
$ 0.25 \times 3.5 = 0.875 $
So total = $ 42 + 0.875 = 42.875 $ ft³
Rounded to 2 decimal places: 42.88 ft³

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3) Side = 0.6 m
$$
V = (0.6)^3 = 0.6 \times 0.6 \times 0.6 = 0.36 \times 0.6 = 0.216 \text{ m}^3
$$
To 2 decimal places: 0.22 m³

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4) Side = 6.2 cm
$$
V = (6.2)^3 = 6.2 \times 6.2 \times 6.2
$$
First: $ 6.2 \times 6.2 = 38.44 $
Then: $ 38.44 \times 6.2 $

Let’s compute:
- $ 38 \times 6.2 = 235.6 $
- $ 0.44 \times 6.2 = 2.728 $
Add: $ 235.6 + 2.728 = 238.328 $

So volume = 238.33 cm³ (rounded to 2 decimals)

Double-check:
Using calculator-style:
$ 6.2^3 = 238.328 $ → yes, rounds to 238.33

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5) Side = $ 4\frac{3}{4} $ in = $ 4.75 $ in
$$
V = (4.75)^3 = 4.75 \times 4.75 \times 4.75
$$
First: $ 4.75 \times 4.75 $
= $ (4 + 0.75)^2 = 16 + 2×4×0.75 + 0.75^2 = 16 + 6 + 0.5625 = 22.5625 $

Now multiply by 4.75:
$ 22.5625 \times 4.75 $

Break into:
$ 22.5625 \times 4 = 90.25 $
$ 22.5625 \times 0.75 = 22.5625 \times \frac{3}{4} = \frac{67.6875}{4} = 16.921875 $

Wait — better:
$ 22.5625 \times 0.75 = 22.5625 \times (3/4) = (22.5625 × 3) ÷ 4 = 67.6875 ÷ 4 = 16.921875 $

Now add:
$ 90.25 + 16.921875 = 107.171875 $

So volume = 107.17 in³ (rounded to 2 decimals)

Let me verify with direct multiplication:
$ 4.75^3 = (19/4)^3 = 6859 / 64 = 107.171875 $ → correct.

Rounded to 2 decimal places: 107.17

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Final Answer:
1) 1728.00 cm³
2) 42.88 ft³
3) 0.22 m³
4) 238.33 cm³
5) 107.17 in³