Question

Claire has a van she is using the van to deliver boxes. Each box is a cuboid, 60cm by 30cm by 40cm. The van has the shape for the boxes in the shape of a cuboid with the length 3m, width 1.8m and height 2m. Work out How many boxes can she fit in the van?

Answer 1

To calculate the number of boxes that can fit in the van, we need to find the volume of both the van and each box, and then divide the volume of the van by the volume of each box. The van can fit 150 boxes.

Step-by-step explanation:

To determine how many boxes can fit in the van, we need to calculate the volume of both the van and each box, and then divide the volume of the van by the volume of each box.

The volume of a cuboid is found by multiplying its length, width, and height. So, the volume of each box is 60 cm * 30 cm * 40 cm = 72,000 cm³.

The volume of the van is 3 m * 1.8 m * 2 m = 10.8 m³.

Since we need to compare the volumes in the same unit, we can convert the volume of the van to cm³ by multiplying it by 1,000,000 (since 1 m³ = 1,000,000 cm³).

Now, we can divide the volume of the van (10.8 m³ * 1,000,000 cm³/m³ = 10,800,000 cm³) by the volume of each box (72,000 cm³). The result is 150 boxes.