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: $\int_0^a \int_0^a \int_0^a dxdydz = (\int_0^a dx)(\int_0^a dy)(\int_0^a dz)= a^3.$