Question

What is the volume of a cube with side a?

(a) \(\frac{a^3}{8} \)

(b) \(a^2\)

(c) \(a^3\)

(d) \(\frac{a2}{4} \)

This question was posed to me during an online exam.

I want to ask this question from Volume Integrals in chapter Vector Integral Calculus of Engineering Mathematics

Answer 1

Correct option is (c) \(a^3\)

For explanation I would say: \(\int_0^a \int_0^a \int_0^a dxdydz = (\int_0^a dx)(\int_0^a dy)(\int_0^a dz)= a^3.\)