The length of the room is 8 m. The width is 5/8 of the length, the height is 0.7 of the width. Find the volume of this room.

The room in this case is a parallelepiped.
Then its volume (V) can be found by the formula:
V = Length × Width × Height.

We know that the length of the room is 8 m.
Since the width is 5/8 of the length, we find it as follows:
Width = 5/8 lengths.
Width = 5/8 × 8 = 5 (m).

Now we can find the height of the room:
Height = 0.7 width.
Height = 0.7 × 5 = 3.5 (m).

Find the volume of the room:
V = 8 × 5 × 3.5 = 140 (cubic meters).

Answer: V = 140 cubic meters.