Question

1. A cube of sugar is 2 cm wide. Calculate the num- ber of cubes in a box 720 cm².2. Calculate the amount of air in a room 6 m long, 5 m wide and 3 m high.3. The area of one side of a cuboid is 360 cm². What is the length, if the width is 1.5 cm? 4What is the volume of a container if it contains 12 boxes each 2.5 cm by 3 cm by 4.5 cm?5. A tank contains 4 500/ of water. Find the depth of the tank if its base area is 300 m².​

Answer 1

For the cube of sugar:
- Volume of one cube = (2 cm)³ = 8 cm³
- Area of one cube = (2 cm)² = 4 cm²
- Number of cubes in a box 720 cm² = 720 cm² / 4 cm² = 180 cubes

For the amount of air in a room:
- Volume of the room = (6 m) x (5 m) x (3 m) = 90 m³

For the length of the cuboid:
- Length of the cuboid = 360 cm² / (1.5 cm) = 240 cm

For the volume of the container:
- Volume of one box = (2.5 cm) x (3 cm) x (4.5 cm) = 33.75 cm³
- Volume of 12 boxes = 12 x 33.75 cm³ = 405 cm³

For the depth of the tank:
- Volume of water in the tank = 4,500/100 x 300 m² = 13,500 m³
- Depth of the tank = 13,500 m³ / (300 m²) = 45 m.