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Question
unit 1 summative (area/perimeter/volume) find the volume of a cube with side length 8 cm ○ 64 cm³ ○ 256 cm³ ○ 512 cm³ ○ 640 cm³
Step1: Recall the formula for the volume of a cube
The volume \( V \) of a cube with side length \( s \) is given by the formula \( V = s^3 \).
Step2: Substitute the given side length into the formula
Here, the side length \( s = 8 \, \text{cm} \). So we calculate \( V = 8^3 \).
\( 8^3 = 8 \times 8 \times 8 = 64 \times 8 = 512 \).
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\( 512 \, \text{cm}^3 \) (corresponding to the option: \( 512 \, \text{cm}^3 \))