A solid has a base in the -plane bounded above by the line for and by the line for

MATHEMATICS · Subjective · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

A solid has a base in the

xy

-plane bounded above by the line

y = x + 2

for

-2 \le x \le 0

and by the line

y = 2 - x

for

0 \le x \le 2

, with the

x

-axis as the lower boundary. Cross sections taken perpendicular to the

x

-axis are squares. Calculate the exact volume of the solid.