Triangular Prism
Author: Lewis Prisco

Use this worksheet to practice finding the Volume of a Triangular Prism. Adjust the height_1, base, and height using the labeled sliders. Answer the questions below. The multi-colored switches can be used to check your work.

1.Find the volume for 5 different Triangular Prisms.

2. Find the missing dimesion. Round to the nearest unit.
a. Triangular Prism: volume 450cu ft, height_1 ___, base 9.5ft, height 7.8ft

3. In a triangular prism, what is the difference between the height of the base and the height of the prism?

V=\frac{1}{2}(h_1)(b)(h)

h

b

h_1

height = 10 (slider from 2 to 10, step 1)
A = (-4, -2)
E = (14, 5)
F = (14, 6)
G = Dilate(F, height, E)
u = Vector(E, G)
H = (14, 3)
I = (15, 3)
J = (16, 5)
base = 10 (slider from 2 to 10, step 1)
height_1 = 5 (slider from 2 to 5, step 0.1)
L = Dilate(I, base, H)
v = Vector(H, L)
g = Circle(J, height_1)
K = (16, 4)
h = Line(J, K)
M = Intersect(g, h, 1.0)
w = Vector(J, M)
B = Translate(A, v)
d = Circle(J, 1.0)
C = Midpoint(A, B)
D = Midpoint(C, A)
N = Translate(D, Vector[w / 2.0])
P, b, a, n = Polygon(A, N, B)
A' = Translate(A, u)
N' = Translate(N, u)
B' = Translate(B, u)
P', b', a', n' = Polygon(A', N', B')
Q, a'_1, n'_1, n_1, a_1 = Polygon(A', N', N, A)
R, n'_2, n_2, b_1, b'_1 = Polygon(N', N, B, B')
S, b'_2, b_2, a_2, a'_2 = Polygon(B', B, A, A')
c = Segment(N, D)
O = Midpoint(A, A')
T = Midpoint(N, D)
VolumeFormula = 0 (slider from 0 to 1, step 1)
VolumeSolution = 0 (slider from 0 to 1, step 1)
j = 0 (slider from 0 to 1, step 1)
U = (10.716666666666669, 7.2)
V = (10.56666666666667, 4.4)
Z = If(VolumeFormula ≟ 1.0, U)
A_1 = If(VolumeSolution ≟ 1.0, V)
v_1: 1.0 / 2.0 * height_1 * base * height
T2: v_1 + "= \frac{ 1 }{ 2} (" + height_1 + ")(" + base + ")(" + height + ")"
s_1 = 1
q_1 = 1
e = AngularBisector(A, N, B)
f = AngularBisector(B, A, N)
W = Intersect(f, e)
Y = Translate(W, u)