Her dad is Lenny Kravitz, the awesome Afro-haired, leather-trouser-clad rock star who was all over the charts in the 90s with the likes of Are You Gonna Go My Way (and who you might recognise more recently from playing Cinna, Katniss’s stylist, in The Hunger Games). Her mum is Lisa Bonet, famous for playing Denise Huxtable in The Cosby Show in the 80s (the incredibly beautiful one you had a massive girl-crush on). With her striking face, cooler-than-cool attitude and laid-back rasp, Zoë Kravitz oozes stylish genes. Although her parents divorced amicably in 1993 when she was just five years old, she’s taken after both of them in more than just the looks department. Zoë’s acting career is flying right now – this year she starred in the box-office smash Divergent franchise (Insurgent) with Shailene Woodley, and the long-anticipated Mad Max: Fury Road, which garnered rave reviews. When she’s not acting, she’s playing in her band, Lolawolf, with her best friends, a sideline she started (slightly) by accident after they uploaded some songs online that went viral. We caught up with Zoë as she modelled (yep, she does that too) Dior’s Cruise Collection in Cannes.

What was it like growing up with famous parents?

‘I wasn’t really aware of their fame until I was about eight or nine years old. My parents are pretty down to earth, and I think it was important to them to not let [their fame] interfere with my development. I’m not going to say it wasn’t glamorous, because I know that it was. But it was normal for me.’

Did their fame make it easier or harder for you to get into acting?

‘I’m very aware that I got into a certain room, and got a reading and got an agent because of who my parents are. It’s not going to be as easy for some 16-year-old girl living in Iowa as it was for me. But at the end of the day, that’s not why they hired me. It made me work harder.’

Do you have any of your parents’ clothes?

‘My mum gave me tons of clothes that she wore when she was my age. My father’s mother was a very stylish woman, too – I have stuff that she gave to my mum who then gave to me. My grandmother [Roxie Roker] was an amazing actress and very forward-thinking.’

Who was the first person you really wanted to look like?

‘There was a point when I wanted to look like a really thin white girl with blonde hair. I would see pictures of the Olsen twins when I was 15 and be like, “That is cool”. It’s difficult being different at that age, especially being black. We’re in a place now where all these black trends are very cool, which is great.’

How would you sum up your personal style?

‘I wear a lot of loose-fitting clothes. It’s sexier to wear something loose and sheer than something very tight. I think people are too concerned with things like being able to see the shade of your nipple under your shirt. It’s interesting that that’s considered to be racy, but if you have a push-up bra on with your breasts up to your chin, that’s OK.’

You were in Cannes for Dior’s Cruise show. What did you think of the collection?

‘I think Raf does such an incredible job. It’s cool how he’s combining the classic Dior look with something more comfortable that has a modern element to it. The venue for the show was crazy – like this futuristic bubble house with secret rooms.’

How did it feel to be wearing those amazing clothes in the shoot?

‘Sometimes, as a younger person, when you’re modelling a very classic brand like Dior it can feel a little bit older than you. But I don’t find that with this collection at all. It all feels really modern.’

Do you think clothes can make you happy?

‘I don’t know if they can make you happy, but I think clothes are a way to express yourself. I have a gold tooth that I wear; it makes me laugh and I think it looks cool because it’s just so bizarre. It’s almost funny, it’s almost too far – like an inside joke with yourself. That’s what makes fashion fun for me.’