Question

what number is shown? each small cube represents 1.

Explanation:

Step1: Count large cubes

There are 8 large cubes. Each large cube (assuming it's a 10x10x10 cube, so volume 1000)？Wait, no, maybe the large cube is 100 (a flat cube? Wait, no, the problem says each small cube is 1. Wait, maybe the large cube is 1000? Wait, no, looking at the diagram: the big cubes, then a flat (maybe 10x10, so 100), and rods (10 each). Wait, let's re-express:

Wait, typical place value blocks: a large cube (thousand cube) is 1000, a flat (hundred) is 100, a rod (ten) is 10, and a small cube (one) is 1.

Looking at the diagram:

• Number of thousand cubes: Let's count the big blue cubes. First row: 6, second row: 2. Total 6 + 2 = 8. So 8 * 1000 = 8000.

• Number of hundred flats: 1 (the single flat). So 1 * 100 = 100.

• Number of ten rods: 3 (the three rods). So 3 * 10 = 30.

• Number of ones: 0 (no small cubes).

Step2: Sum the values

Now sum them up: 8000 + 100 + 30 + 0 = 8130.

Wait, wait, maybe I misinterpreted the blocks. Wait, maybe the big cube is 1000? Wait, no, maybe the big cube is 100? Wait, no, the problem says "each small cube represents 1". So a rod (10 small cubes) is 10, a flat (10x10=100 small cubes) is 100, and a large cube (10x10x10=1000 small cubes) is 1000.

So let's count again:

• Large cubes (1000 each): Let's count the big blue cubes. First row: 6, second row: 2. Total 8. So 8 * 1000 = 8000.

• Flats (100 each): 1 (the single flat). So 1 * 100 = 100.

• Rods (10 each): 3 (the three rods). So 3 * 10 = 30.

• Ones: 0.

Total: 8000 + 100 + 30 = 8130.

Wait, but maybe the big cube is 100? No, that doesn't make sense. Wait, maybe the big cube is 1000. Let's confirm:

If each small cube is 1, then:

• A rod (10 small cubes) is 10.

• A flat (10 rods, so 10x10=100 small cubes) is 100.

• A large cube (10 flats, so 10x10x10=1000 small cubes) is 1000.

So in the diagram:

• Large cubes (1000): 8 (6 + 2).

• Flats (100): 1.

• Rods (10): 3.

• Ones: 0.

So total is 81000 + 1100 + 310 + 01 = 8000 + 100 + 30 = 8130.

Answer:

8130