For a solid whose cross sections perpendicular to the –axis are equilateral triangles…

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

Problem

For a solid whose cross sections perpendicular to the

y

–axis are equilateral triangles with side length

s

, which of the following gives the area

A

of a single cross section in terms of

s

? (a)

A=\dfrac{3}{4}s^{2}

(b)

A=\dfrac{\sqrt{3}}{4}s^{2}

(c)

A=\dfrac{1}{2}s^{2}

(d)

A=\dfrac{\sqrt{3}}{2}s^{2}