Question

Ellie has a delivery van which she is going to use to deliver boxes. Each box is a cuboid, 45 cm by 40 cm by 35 cm. The space for boxes in the van is empty and has maximum length maximum width 3.6 m 1.6 m maximum height 2.1 m Ellie wants to put as many boxes as possible into the van. She can put 3 boxes into the van in one minute. Assuming that the space for boxes is the shape of a cuboid, work out how many minutes it will take Ellie to put as many boxes into the van as possible. Optional working + Answer mins 45 cm 35 cm 40 cm​

Answer 1

To calculate the number of minutes it will take to fill the van, we first find the number of boxes that can fit inside the van and then divide that by the rate at which Ellie can load boxes. Ellie will need 64 minutes to load the van with boxes.

Step-by-step explanation:

To calculate how many minutes it will take Ellie to put as many boxes as possible into the van, we need to first determine how many boxes can fit in the van. The volume of the van's space for boxes is 3.6 m (×) 1.6 m (×) 2.1 m. We must convert the measurements of the boxes to meters before calculating how many can fit in the van:

• 45 cm = 0.45 m
• 40 cm = 0.40 m
• 35 cm = 0.35 m

Now, we calculate the volume of a single box: 0.45 m (×) 0.40 m (×) 0.35 m = 0.063 m³

Next, we divide the volume of the van by the volume of a box to find out how many boxes fit:

3.6 m (×) 1.6 m (×) 2.1 m / 0.063 m³ = 192

Ellie can fit 192 boxes in her van. She can put 3 boxes into the van in one minute, so to put all 192 boxes, it would take her:

192 boxes / 3 boxes/minute = 64 minutes