Solution:
We have:
length = a = 3x
width = b = x
height = h = 2x
area of the base of the prism = c
volume of the prism = v = 2058 cm³
Use: c = (3x)(x)
c = 3x²
Use: v = (3x²)(2x)
v = 6x³
2058 = 6x³
6x³ = 2058
x³ = 2058 / 6
x³ = 343
x = ∛343
x = 7
a = 3x
a = 3(7)
a = 21
b = x
b = 7
h = 2x
h = 2(7)
h = 14
c = 3x²
c = 3(7)²
c = 3(49)
c = 147
a = 21 cm
b = 7 cm
h = 14 cm
c = 147 cm²
