# Elijah uses 17 connecting cubes to make a model of a kitchen. The kitchen model is in the shape of a rectangle and is one cube high. How many different ways could Elijah make the model of the kitchen?

Elijah has 17 connecting cubes which he intends to use to make a model of a kitchen in the shape of a rectangle. The kitchen will be one cube high and thus it is possible for him to create multiple designs with his available resources. There are numerous ways Elijah could go about constructing this model.

The most basic way would be through the use of right angles and straight lines, as this results in the most efficient use of space within the given frame. To start, Elijah can place four cubes together side by side; two at each end, forming two sides of the rectangle while leaving three cubes free in between them. He then takes these three remaining cubes and places them on top of either end, completing two rectangular walls with an open gap in between (it should now look like ‘L’ shaped blocks connected at either end). These steps result in five rows across and three columns down – providing 15 spaces for him to fill with his remaining cubes. At this point Elijah can choose to arrange any number of combinations on either side however he chooses – allowing for some interesting patterns or shapes if desired – before moving onto creating doors and windows if applicable using whatever style or size that seems appropriate according to what is being modelled (it could even just be blank squares representing where they would be rather than trying too hard).

## Elijah uses 17 connecting cubes to make a model of a kitchen. The kitchen model is in the shape of a rectangle and is one cube high. How many different ways could Elijah make the model of the kitchen?

Alternatively, Elijah could opt for less uniform design by arranging random clusters throughout instead – making sure not all spaces have been filled evenly but still having everything fit into its predetermined shape as best as possible; it provides more room for creativity but requires more planning so that everything fits accordingly when complete. For example; Elijah might decide upon taking four pieces from one corner while adding other smaller arrangements elsewhere around the square until all 17 pieces have been used up yet still maintain an overall balanced aesthetic despite its irregularity (he may also need other pieces besides just those provided such as paper accessories etc.).

Overall there’s no specific “right” answer as designing something original without following a set formula largely relies upon personal preference and imagination – allowing Elijah plenty opportunities when it comes constructing his own unique model kitchen out of 17 connecting cubes.

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