A builder has to pour a concrete slab 12 centimeters thick to cover an area 10 meters long...
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A builder has to pour a concrete slab 12 centimeters thick to cover an area 10 meters long and 2 meters wide. How many cubic meters of concrete will the builder need?
Show answer & explanation
Volume is calculated as length × width × height. All dimensions must be in the same unit (meters). Converting 12 cm to 0.12 m, the volume is 10 × 2 × 0.12 = 2.4 cubic meters. Wait—recalculating: 10 × 2 × 0.12 = 20 × 0.12 = 2.4 m³. This matches option E (2.40 cubic meters), not C. Let me verify: The correct answer is 2.40 cubic meters.
Step-by-step Derivation:
Step 1: Convert thickness to meters: 12 cm = 12/100 m = 0.12 m
Step 2: Calculate volume using V = length × width × height
V = 10 m × 2 m × 0.12 m
V = 20 m² × 0.12 m
V = 2.4 m³
Step 3: Express as 2.40 cubic meters