You ordered a large block of wood with length 5, width 2, and height 1 (each in feet). unfortunately, the manufacturer can only guarantee to meet these measurements up to an error of 0.1 excess feet per side. use a suitable gradient to approximate the most total excess volume that may occur. compute the exact maximal excess volume.

"1.7 ft³" will be the exact maximal excess volume.

According to the question,

Length,

Breadth,

Height,

Error feet per side,

→

→

By substituting the values, we get

        (Total excess volume)

hence,

→ The exact maximal excess volume will be:

=

=

=

Thus the above answer is correct.

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d₁ = displacement of tern from arctic to antarctic = 11000 miles

d₂ = displacement of tern from antarctic to arctic =   - 11000 miles

d = total displacement for the journey

total displacement for the journey is given as

d = d₁ + d₂

d = 11000 + (-11000)

d = 0 miles

t₁ = time of travel from arctic to antarctic = 3 months = 3 x 30 days = 90 days

t₂ = time of travel from antarctic to arctic = 3 months = 3 x 30 days = 90 days

t = total time of travel

total time of travel is given as

t = t₁ + t₂

t = 90 + 90

t = 180 days

average velocity is given as

average velocity = total displacement/ total time

v = d/t

v = 0/180

v = 0 miles/day