Raked concrete covers this T-shaped house, which architecture studio Spridd has slotted into a sloped site surrounded by trees on the island of Nacka in Stockholm.

Appropriately called T House, the home was created by Spridd for a family, along with a separate guest apartment for an elderly relative.

To minimise excavation of the steeply sloping, south-facing plot, the studio designed a narrow central body for the house that slots between rocks.

It expands outwards at its top storey, forming two cantilevered volumes that accommodate a generous open-plan living space.

"The T-shape enables a minimal excavation as it only requires a small foundation at the bottom," Spridd told Dezeen.

"The shape also provides an advantageous symmetry in the structure which stands independent of itself without attachment to the bedrock."

T House is constructed from prefabricated sandwich panels covered with concrete. Inside, the panels have a smooth finish while a raked treatment was manually applied externally.

The raked-concrete facades ensure the house is in dialogue with the textures of the rocky cliffside site and the bark of the surrounding trees.

Externally, brown-framed ribbon windows on the south, east and west facades give the home a modernist feel.

Inside T House, a curved staircase leads from the level access ground floor to the guest apartment on the first floor and a main suite on the second floor.

On the third storey, smooth concrete walls, floors and ceilings are teamed with warm plywood joinery in the kitchen, the stair bannister and a dividing wall between the kitchen and living area.

"The interior has a warm character with the exposed wooden surfaces in contrast with the hard exterior," said Spridd.

Large doors in the kitchen open to an outdoor terrace, where metal stairs lead to the roof. Both spaces give views over the rocky hillside and hardy shrubs and trees.

Spridd is a Swedish architectural office in Stockholm that was founded in 2005 by Klas Ruin and Ola Broms Wessel.

Elsewhere in Sweden, Olson Kundig recently used dark timber and stone to create a home on a rocky waterside site, while Claesson Koivisto Rune has created a home with angular roofs clad in red-painted planks of local pine.

The photography is by Mikael Olsson.