Question

Деревянный куб покрасили краской, а потом разрезали на одинаковые кубики. Получилось 150 кубиков с одной окрашенной гранью. Сколько получилось кубиков с двумя окрашенными гранями?​

Answer 1

150:6=25, значит на каждой стороне остался квадрат 5 на 5, тогда изначально куб был 7 на 7. Окрашенные с двух сторон кубики на рёбрах, но не угловые, значит их 5*6=30

Answer 2

Problem Analysis

We have a wooden cube that was painted with paint and then cut into identical smaller cubes. There are 150 cubes with one painted face. We need to determine how many cubes have two painted faces.

Solution

To solve this problem, we can use the following steps:

1. Determine the number of cubes that can be formed from the original wooden cube. 2. Calculate the number of cubes with one painted face. 3. Subtract the number of cubes with one painted face from the total number of cubes to find the number of cubes with two painted faces.

Let's calculate each step in detail.

Step 1: Determine the number of cubes that can be formed from the original wooden cube

To determine the number of cubes that can be formed from the original wooden cube, we need to find the volume of the wooden cube and divide it by the volume of each smaller cube.

Since all the smaller cubes are identical, we can calculate the volume of one smaller cube and use it to find the total number of cubes.

Step 2: Calculate the number of cubes with one painted face

We are given that there are 150 cubes with one painted face. This means that each of these cubes has one face that is painted, while the remaining faces are not painted.

Step 3: Subtract the number of cubes with one painted face from the total number of cubes

To find the number of cubes with two painted faces, we need to subtract the number of cubes with one painted face from the total number of cubes.

Let's perform the calculations.

Calculation

1. Determine the number of cubes that can be formed from the original wooden cube: - We do not have the dimensions of the original wooden cube, so we cannot calculate the exact number of cubes. We need this information to proceed with the calculations.

2. Calculate the number of cubes with one painted face: - We are given that there are 150 cubes with one painted face.

3. Subtract the number of cubes with one painted face from the total number of cubes: - Since we do not have the total number of cubes, we cannot calculate the exact number of cubes with two painted faces.

Unfortunately, without the dimensions of the original wooden cube, we cannot determine the exact number of cubes with two painted faces.