A solid built on a certain base region has square cross sections perpendicular to the…

MATHEMATICS · Single correct · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

A solid built on a certain base region has square cross sections perpendicular to the

x

-axis and its volume is

200

cubic units. A second solid is built on the same base with equilateral-triangle cross sections whose side length at each

x

equals the side length of the square at that

x

. What is the volume of the second solid? (a)

25\sqrt{3}

(b)

50\sqrt{3}

(c)

50

(d)

100\sqrt{3}