Understanding Cuboid Volume and Applications

What is the formula for calculating the volume of a cuboid?

A cuboid has a length of 5 metres, a width of 3 metres, and a height of 2 metres. What is its volume?

• 10 cubic metres

• 15 cubic metres

• 30 cubic metres

• 60 cubic metres

Which of the following is a real-life application of calculating the volume of a cuboid?

• Determining the amount of paint needed to cover a wall

• Calculating the amount of water a fish tank can hold

• Measuring the length of a piece of string

• Finding the weight of a book

A shipping box is a cuboid with dimensions 4 feet by 3 feet by 2 feet. What is the volume of the box in cubic feet?

• 12 cubic feet

• 18 cubic feet

• 24 cubic feet

• 30 cubic feet

How does the surface area of a cuboid differ from its volume?

• Surface area measures the space inside the cuboid, while volume measures the space outside.

• Surface area is measured in square units, while volume is measured in cubic units.

• Surface area is always larger than volume.

• Surface area and volume are the same for a cuboid.

If the volume of a cuboid is 120 cubic metres and its base area is 20 square metres, what is its height?

• 4 metres

• 5 metres

• 6 metres

• 7 metres

A swimming pool is shaped like a cuboid and measures 25 metres in length, 10 metres in width, and 2 metres in depth. How many litres of water can it hold? (1 cubic metre = 1000 litres)

• 50,000 litres

• 500,000 litres

• 5,000 litres

• 250,000 litres

Which of the following statements is true about the volume of a cuboid?

• Volume is independent of the dimensions of the cuboid.

• Volume increases as the dimensions of the cuboid increase.

• Volume decreases as the dimensions of the cuboid increase.

• Volume is always equal to the surface area.

A cuboid has a volume of 48 cubic feet. If its length is 4 feet and its width is 3 feet, what is its height?

• 2 feet

• 3 feet

• 4 feet

• 5 feet

Why is it important to understand the difference between surface area and volume in real-life applications?

• To ensure accurate measurements for construction projects

• To calculate the weight of an object

• To determine the colour of an object

• To find the temperature of an object