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Humanoids can be approximated as cylinders. The
girth (waistline) of the entity can be further approximated
as a circumference equal to half the entity’s
height. After a bit of algebraic manipulation of the
formulae for the volume of a cylinder and the circumference
of a circle, the Humanoid Entity Volume
Formula is:
Volume = (height cubed) / (16 times pi) [pi is 3.14].
Example: The Warrior Construct is also to be
designed as a 6' tall humanoid. Using this method,
the volume is 216 (6 cubed) / (16 times 3.14) or
4.3 cubic feet. In this case, this method has overestimated
the volume by 1.42 cubic feet.
Most land animals can be approximated as cuboids.
If only one dimension is known (e.g. length), the
volume is simply the cube of the known dimension. If
two dimensions are known, say length and height, the
volume is length times height times the smaller dimension.
If all three dimensions are known, multiply
all three to obtain the volume.
Example: The Iron Wolf Golem is to be Large in
size, and the enchantress has decided it will be 9'
tall, 6' long from nose to tail, and 2' wide. Its
volume is 108 cubic feet (9 times 6 times 2).
For birds, the key dimension is wingspan, the distance
from the tip of one wing to the other. The length
of a bird (from beak to tail feather) can be approximated
as one-third of the wingspan. Thus the shape
can be approximated as a cylinder of “height” equal to
wingspan and radius equal to one-sixth wingspan,
leading to the following formula
Avian Entity Volume = (pi * (wingspan cubed)) / 36.
Example: A sorcerer decides to create a Construct
in the form of a Great Falcon. The wingspan of
this majestic bird is 25'. The volume is 3.14 times
15625 (25 cubed) divided by 36, which is approximately
1363 cubic feet.
For reptiles and amphibians, use either cuboids or
cylinders (as appropriate) to bound the volume, e.g. a
normal snake is a cylinder with a “height” equal to its
length and a radius of several inches maximum, while
a frog may be estimated as a cube. For fish, use the
same formula as for humanoid creatures, substituting
length for height.
Example: The Shark Construct is to be 10' long. Its
volume is 1000 (10 cubed) divided by (16 times
3.14), or 19.9 cubic feet.
The volumes of most monsters, Demons, and so on
can be approximated by the formulae. Simply consult
the physical description in Creatures & Monsters and
choose the most apt bounding shape. Flying monsters
such as Dragons require a special form of the Avian
formula, as they are essentially beings with large central
bodies and even larger wings.
Flying Monster Entity Volume = wingspan * pi *
(body length squared) / 4.
Example: The Winged Goblin Golem is to be
Tiny in size, so both its body and wingspan must
be 1' or smaller in length. The alchemist decides
to make its body length six inches and its wingspan
1'. The volume is 1 times 3.14 times 0.25
(0.5 squared) divided by 4, or 0.2 cubic feet.
The volumes calculated by either method can be
used as is for Golems. However as Constructs are not
solid pieces of material, the following approximations
may now be made for the volume of the
Construct’s exterior armor and its internal mechanisms.
Exterior armor volume = Volume / 4.
Interior components = Volume / 4.
If the Construct is fashioned from two materials
(one external, one internal), then the mass and cost
must be calculated separately for each.
Examples: The actual volume of the Warrior
Construct is 4.3 / 4 or 1.075 cubic feet for exterior
components, and an equal amount for internal
components. The total volume of required material
is 2.15 cubic feet. Likewise the Shark Construct
is half of 19.9 or 9.95 cubic feet.
Next, consult the Materials Table for the density of
the desired entity material, and then calculate the
required mass as follows.
Material mass (in pounds) = Volume * Material
Density.
Examples: The Brass Golem has a volume of 2.88
cubic feet, times 507 (for density), equals 1460
lbs. The Iron Wolf has a volume of 108 cubic feet,
times 491, equals 53028 lbs. The Winged Goblin
has a volume of 0.2 cubic feet, times 140 (for clay)
which equals 28 lbs. The Warrior Construct has
a volume of 2.15 cubic feet, times 489 (for Steel
II), equals 1051 lbs. The Shark Construct has a
volume of 9.95 cubic feet times 547 which equals
5443 lbs. All results have been rounded to the
nearest pound.
Finally, consult the Materials Table for the
material’s base price. The materials cost is: Cost =
Material mass * Price per pound.
Examples: The Brass Golem has a materials cost
of 876gp (1460 times 7sp). The Iron Wolf has a
materials cost of 33,9379 tin pieces and 4 iron
pieces (53028 times 6.4 tin pieces) or almost
34gp. The Winged Goblin Clay Golem is even
cheaper at 3cp per lb (28 times 3) – a cost of 84cp.
The Bronze Shark Construct costs 3483gp, 5sp,
and 2bp (5443 lbs times 64bp per lb equals
348352bp). The Warrior Construct has a materials
price of 33,632cp (or less than 34gp) from
1051 lbs times 32cp.
CONSTRUCT COMPANION
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