UNIT: MEASUREMENT

ACT-Based Math: Scale Model & Measurement Calculations Answer Key

Mathematical Thinking Challenge:

A book measures 21 cm × 15 cm × 3 cm. If a student creates a model at a 1:2 scale, what is the new volume? (ACT Math Score: 24-27)

472.5 cm³

236.25 cm³

118.12 cm³

59.06 cm³

Correct Answer: C (Volume = (21 × 15 × 3) ÷ (2³))

If a room measures 12 ft × 10 ft and its dimensions increase by 20%, what is the new area? (ACT Math Score: 28-32)

132 ft²

144 ft²

156 ft²

172.8 ft²

Correct Answer: D (New area =14.4×12 =172.8 ft²)