Geometry In Design - McGraw-Hill Ryerson

Draw a net that could be used to make a
model of the container. Cut out your net
and construct the container. Check the
dimensions of the model by measuring.
7. David is building an airplane. The frame
is made of welded steel tubing, and will
be covered with fabric. Each wing is in
the shape of a rectangle measuring 5 m
long by 1 m wide, with a semicircle at
one end. The wing will be covered with
fabric. Sketch a pattern that could be
used to sew an envelope to slip over the
wing frame. Show all measurements.
6.4 Scale Models, pages XX–XX
8. Model airplane kits are commonly sold
in _ 1 scale. A Boeing 777 airliner has a
72
wingspan of 60.9 m and a length of
73.9 m. Find the wingspan and length of
a _ 1 model of the Boeing 777.
72
9. Quonset huts are often used for storage
of farm machinery, aircraft, or other
large machines.
5 m
10 m
10 m
Sandrine is planning to build a Quonset
hut to shelter the ultralight aircraft that
she is building. It will have a square floor
with side length 10 m. The curved roof
will have a maximum height of 5 m.
Draw a net that can be used to make a
scale model of the Quonset hut. Cut out
your net, and construct the scale model.
10. A new office building will have a square
base with side length 40 m. It will be
60 m high. A revolving restaurant in the
shape of a cylinder with a diameter of
80 m and a height of 4 m will be built
on top. Draw nets that can be used to
make scale models of the building and
the restaurant. Cut out your nets, and
construct the models.
6.5 Solve Problems With Given
Constraints, pages XX–XX
11. Martin is designing a hexagonal
bunkhouse containing six triangular
rooms that meet at the centre. The base
of the bunkhouse will be poured concrete
10 cm thick. Concrete can be delivered
to the site for $75/m 3 . The budget for the
concrete base is a maximum of $600. The
walls will be congruent squares, and the
roof will be flat. The cost of wood for the
walls and the roof is $20/m 2 .
a) Design the base such that the
hexagon is as large as possible without
exceeding the cost constraint.
b) Continue the design for the walls
and roof. Estimate the total cost of
materials for the base, walls,
and roof.
Chapter 6 Review • MHR 57