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Tiny Home Geometry
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Tiny Home Geometry
Help plan a compact tiny home. Use the measurements provided. Show your working, include units, and use a calculator if needed.
Part A: Shape and space
Start with the geometry you might use in a tiny-home design.
1.A tiny-home floor is a rectangle measuring 7.2 m by 3.6 m. What is its perimeter?
2.The water tank is shaped like a rectangular prism. Which calculation gives its volume if its length is l, width is w and height is h?
- l + w + h
- 2 × (l + w)
- l × w × h
- l × w
3.A rectangular window frame has four right angles. Select all the statements that must be true of a rectangle: opposite sides are equal; all four sides are equal; it has four vertices; opposite sides are parallel.
- Opposite sides are equal
- All four sides are equal
- It has four vertices
- Opposite sides are parallel
Part B: Measure the design
Use the tiny-home measurements to solve practical design problems.
4.Draw a floor plan for a 7 m by 3.5 m tiny home using the scale 1 cm represents 1 m. Label the length and width on your drawing.
5.Using the 7 m by 3.5 m footprint in Question 4, how many metres of edging are needed to go all the way around the floor?
6.A storage compartment is 1.2 m long, 0.5 m wide and 0.4 m high. Calculate its volume in cubic metres.
7.The storage compartment in Question 6 holds 0.24 m³. How many litres is that? Use 1 m³ = 1,000 L.
8.A square deck has sides of 2.4 m. Find its perimeter and area.
Part C: Solve the design puzzle
Make a choice, then explain how geometry helps you justify it.
9.Layout A is 8 m by 3 m. Layout B is 6 m by 4 m. Which has the larger floor area, or are they equal? Show both calculations.
10.A builder has 24 m of skirting board for a rectangular floor. One possible floor is 8 m by 4 m. Does it use exactly 24 m of skirting? If not, state how much is needed and how much is left over or missing.
2 printable pages
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