3D Geometry

Toby glues 10 cubes together to make the structure shown. He paints the whole structure, even the bottom. How many cubes are painted on exactly four of their faces?

• 6

• 7

• 8

• 9

• 10

The picture shows a castle built from cubes. When you look at the same castle from above it looks like the next picture. How many cubes were used to build the castle?

• 56

• 68

• 60

• 64

• 72

Daniella has an aquarium in the shape of a cube with edges 3 dm each. She started arranging cubes with edges 1 dm each inside the aquarium, in the way you can see on the picture. At most how many more such cubes can Daniella put into the aquarium?

• 13

• 9

• 17

• 27

• 21

A cube with a side length of 3 cm is painted grey and cut into smaller cubes with a side length of 1 cm each. How many of the smaller cubes will have exactly 2 faces painted?

You need 3 pieces to build this shape. Each piece is made up of 4, equally sized cubes of the same color. What does the white piece look like?

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Identical cubes are glued together. The figures show the structure seen from the front, from the left, and from above. What number of cubes does the structure contain?