From tiny blueprint to towering building — where every length knows its scale.
REMEMBER: A scale factor multiplies every length —
never add it. Lengths grow by k, but area grows by k × k. The two
shortest sides of a triangle must together out-reach the longest.
A cross-section is the flat shape where a slice meets a solid.
Part 1 · The Blueprint Scaler
On the left: your blueprint of a room, measured in centimeters. On the right:
the real room it becomes. Slide the room size and the scale — then watch what
multiplies. Keep an eye on the area... it does something sneaky.
Drawing width:3 cmDrawing height:2 cm
Scale — 1 cm stands for:3 m
LENGTHS
PERIMETER
AREA — WATCH THIS!
Part 2 · Triangle Commissions
Clients keep ordering triangular windows — but not every order can be built!
Read the conditions, then commit: will they make exactly
ONE triangle, MANY different triangles, or
NONE at all? The drafting table reveals the truth.
Correct calls: 0
Part 3 · Studio Machines
Three tools every architect keeps on the desk. Feed them your own numbers —
each one prints every step and the why.
The scale is 1 cm : k m. Convert in either direction — and notice which way multiplies.
Type three side lengths. The tester lines up the two shortest against the longest and delivers the verdict.
Pick a solid and a slice. The visualizer shows the cut plane in gold — and the flat cross-section it creates.
Part 4 · Master Builder Quiz
Question 1 of 10Score: 0
📗 Word Box
Scale drawing
A drawing that shows a real object with every length shrunk (or grown) by the same factor.
Scale factor
The multiplier between drawing and real life. At 1 cm : 4 m, every drawn centimeter stands for 4 real meters.
Triangle Inequality Rule
The two shorter sides of a triangle must add to MORE than the longest side — or they can't reach across to close it.
Unique triangle
Conditions that force exactly one triangle. Three fixed side lengths do this — every builder gets the same shape.
Cross-section
The flat, 2-D shape you see where a plane slices through a solid — like the face of a cut sandwich.
Prism
A solid with two identical parallel bases and flat sides. It's the same size all the way up — no tapering.
Pyramid
A solid with one base whose sides rise to meet at a single point (the apex). It shrinks as it climbs.
Plane
A perfectly flat surface, like an endless sheet of glass. Slicing a solid means passing a plane through it.