Question

A rectangular box is of length 3 metres, breadth 2 metres and height 1 metre. How many bricks of length 30 centimetres , breadth 20 centimetres and height 10 centimetros will exactly fill the box?

• A. 1000
• B. 2000
• C. 1500
• D. 2500

Answer 1

Answer:

A. 1000

Box Dimensions and Volume

• The dimensions of the rectangular box are given as:

  • Length = 3 metres

  • Breadth = 2 metres

  • Height = 1 metre

• To calculate the volume, all dimensions must be in the same units. It is convenient to convert metres to centimetres since the brick dimensions are in centimetres.

• Recall that 1 metre = 100 centimetres.

• Therefore, the box dimensions in centimetres are:

  • Length = 3 * 100 = 300 cm

  • Breadth = 2 * 100 = 200 cm

  • Height = 1 * 100 = 100 cm

• The volume of a rectangular box (cuboid) is calculated as: Volume = Length × Breadth × Height

• Volume of the box = 300 cm × 200 cm × 100 cm = 6,000,000 cubic centimetres (cm³)

Brick Dimensions and Volume

• The dimensions of each brick are given as:

  • Length = 30 cm

  • Breadth = 20 cm

  • Height = 10 cm

• Volume of one brick = 30 cm × 20 cm × 10 cm = 6,000 cubic centimetres (cm³)

Determining the Number of Bricks

• To find out how many bricks fit into the box, divide the volume of the box by the volume of a single brick.

• Number of bricks = (Volume of the box) / (Volume of one brick)

• Number of bricks = 6,000,000 cm³ / 6,000 cm³ = 1000