we have that
The volume of a triangular prism is equal to
where
B is the area of the triangular face
h is the height of triangular prism
step 1
Find the value of B
B=(1/2)(12)(8)
B=48 cm2
step 2
Find the volume
we have
B=48 cm2
h=3 cm
substitute
V=(48)(3)
V=144 cm3
the volume is 144 cubic centimeters
step 3
Find the mass
Remember that
The density is equal to divide the mass by the volume
so
D=m/V
solve for m
m=D*V
we have
V=144 cm3
D=8.6 g/cm3
substitute
m=(8.6)*(144)
m=1,238.4 grams
the mass is 1,238.4 grams