3D Geometry

The picture shows 5 identical bricks. How many bricks are touching exactly 3 other bricks?

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• 2

• 3

• 4

• 5

Mike has built a staircase from white and black cubes of the same size. Given that Mike did not place two cubes of the same color touching each other. How many black cubes did Mike use?

• 14

• 18

• 16

• 26

• 32

Nick built a cube using gray and white cubes. The cubes with the same color do not have a common face. Which statement describes the number of cubes?

• one gray cube more than white cubes

• one white cube more than gray cubes

• the same number of gray and white cubes

• two white cubes more than gray cubes

• two gray cubes more than white cubes

A student made the shape shown using 12 cubes. He put one drop of glue between any two cubes that share a common face. How many drops of glue did he use?

• 8

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• 12

The picture shows a group of building blocks and a plan of the same group. Some ink has dripped onto the plan. What is the sum of the numbers under the ink blots?

Ania makes a large cube from 27 small white cubes. She paints all the faces of the large cube. Then Ania removes four small cubes from four of the corners, as shown. While the paint is still wet, she stamps each of the new faces onto a piece of paper. How many of the following stamps can Ania make?

Theodor has built this tower made up of discs. He looks at the tower from above. How many discs does he see

• 3

• 1

• 2

• 4

• 5