Calculate the volume of a cuboid of length 0.76cm, breadth 2.6cm and height 0.82cm.

Analyze the question: We need the volume of a cuboid, given its length, breadth and height.

Concept: Volume of a cuboid = length × breadth × height

Solution:

Volume = 0.76 × 2.6 × 0.82

Step 1: 0.76 × 2.6

• 76 × 26 = 1976
• Count the decimal places: 2 + 1 = 3
• So 0.76 × 2.6 = 1.976

Step 2: 1.976 × 0.82

• 1976 × 82 = 1976 × 80 + 1976 × 2 = 158,080 + 3,952 = 162,032
• Count the decimal places: 3 + 2 = 5
• So 1.976 × 0.82 = 1.62032

Volume ≈ 1.62 cm³

Tip: In a question like this, estimate first to check your answer. 0.76 is about 0.8, 2.6 is about 2.6, and 0.82 is about 0.8. Then 0.8 × 0.8 = 0.64, and 0.64 × 2.6 ≈ 1.66. This is close to 1.62, which rules out options A, B and C straight away. Also, when multiplying decimals, multiply as whole numbers first, then place the decimal point by adding up the decimal places in the numbers you multiplied.