Question

an otter enclosure has a cuboid shaped pool with dimensions 4m by 18m by 7m. a zookeeper decides that there should be at least 30m3 of space in the pool for every otter living in the enclosure. use this information to workout the maximum number of otters that can live in the enclosure

Answer 1

To find the maximum number of otters that can live in the enclosure, calculate the volume of the pool and divide it by the required space per otter. The maximum number of otters that can live in the enclosure is 16.

Step-by-step explanation:

To find the maximum number of otters that can live in the enclosure, we need to calculate the volume of the pool and then divide it by the required space per otter. The volume of a cuboid is found by multiplying its length, width, and height. In this case, the dimensions of the pool are 4m, 18m, and 7m. So, the volume of the pool is:

Volume = length imes width imes height
= 4m imes 18m imes 7m
= 504m^3

Since there should be at least 30m^3 of space in the pool for every otter and we want to find the maximum number of otters, we divide the volume of the pool by 30m^3:

Maximum number of otters = Volume of pool / Required space per otter
= 504m^3 / 30m^3
= 16.8

Therefore, the maximum number of otters that can live in the enclosure is 16.

Answer 2

16

Step-by-step explanation:

find volume of pool

(multiply everything together)

since each otter needs 30 m^3 of space, divide the volume by 30

answer comes to 16.8. however since we can't put 0.8 of an otter in the pool, you round down to 16