Question

introduction and instructions surface area (length × width) × 6 sides volume (length × width × height) ratio of surface area to volume 2 cm × 2 cm × 6 = 24 cm² 2 cm × 2 cm × 2 cm = 8 cm³ 24 / 8 = 3 : 1 4 cm × 4 cm × 6 = 96 cm² 4 cm × 4 cm × 4 cm = 64 cm³ 96 / 64 = 1.5 : 1 6 cm × 6 cm × 6 = 216 cm² 6 cm × 6 cm × 6 = 216 cm³ 216 / 216 = 1 : 1

Explanation:

Step1: Calculate 2cm cube ratio

$\frac{24}{8} = 3:1$

Step2: Calculate 4cm cube ratio

$\frac{96}{64} = 1.5:1$

Step3: Calculate 6cm cube ratio

$\frac{216}{216} = 1:1$

Answer:

• 2 cm cube: $3:1$
• 4 cm cube: $1.5:1$
• 6 cm cube: $1:1$