Answer:
L = 4.103
Step-by-step explanation:
we have length of curve

where 
substituting for f(x), we have 
(since the limit is 2≤ x ≤5)
solving, 
Simplifying this integral, we have
L = 4.10321
Answer:
x = 6
Step-by-step explanation:
The volume (V) of the triangular prism is calculated as
V = Al ( A is the area of the triangular end and l is its length )
A =
bh = 0.5 × 9 × 4 = 18 cm² , then
V = 18 × 12 = 216 cm³
The volume of a cube is
V = s³ ( s is the side length ) , so
s³ = x³ = 216 ( take the cube root of both sides )
x =
= 6
See the attached picture for the solution: