Attend live Mathematics sessions on Nagwa Classes to learn more about this topic from an expert teacher!

Find an expression for the volume of the given cube whose side lengths are 2π₯/5.

Find an expression for the volume of the given cube whose side lengths are two π₯ over five.

We begin by recalling that the volume of a cube is given by the cube of its side length. This means that if a cube has side length π, then its volume is π multiplied by π multiplied by π, which is π cubed. In this question, we are told that the side length is two π₯ over five. This means that its volume is given by the expression two π₯ over five cubed. Recalling that for any rational number π over π and any integer π π over π to the πth power is equal to π to the πth power divided by π to the πth power, our expression simplifies to two π₯ cubed over five cubed.

Next, we recall that to multiply monomials, we multiply the coefficients and add the powers of the shared variables. This means that two π₯ multiplied by two π₯ multiplied by two π₯ is equal to eight π₯ cubed. And since five cubed is 125, our expression simplifies to eight π₯ cubed over 125. This is an expression for the volume of a cube whose side lengths are two π₯ over five.

Attend live sessions on Nagwa Classes to boost your learning with guidance and advice from an expert teacher!

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy