Knowee
Questions
Features
Study Tools

125 small but identical cubes have been put together to form a large cube. This larger cube is now painted in all 6 faces.How many of the smaller cubes have exactly three faces painted?a.4b.8c.27d.9

Question

125 small but identical cubes have been put together to form a large cube. This larger cube is now painted in all 6 faces.How many of the smaller cubes have exactly three faces painted?a.4b.8c.27d.9

🧐 Not the exact question you are looking for?Go ask a question

Solution

The answer is b.8.

Here's the step by step explanation:

  1. The large cube is formed by 125 small cubes. Since 125 is a perfect cube of 5, it means that the large cube is 5 small cubes long, 5 small cubes wide, and 5 small cubes high.

  2. The small cubes that have exactly three faces painted are the ones that are at the corners of the large cube.

  3. A cube has 8 corners. Therefore, there are 8 small cubes that have exactly three faces painted.

This problem has been solved

Similar Questions

64 smaller but identical cubes have been put together to form a larger cube. This larger cube is now painted on all 6 faces. How many of the smaller cubes have no face painted at all?a.16b.8c.12d.10

A cube is painted on all sides and then cut into 'N' smaller cubes. What is the value of 'N' if there are exactly 8 smaller cubes painted on exactly 3 faces?a.27b.124c.Cannot be determinedd.64

A cube painted blue on all faces is cut into 1331 cubes of equal size. How many cubes are painted on one face only?.

pair of opposite faces of a cube is painted yellow another pair of opposite faces orange and the remaining faces white. The cube is then cut in to 343 smaller but identical cubes.How many of the smaller cubes have exactly one colour on them?     a.144                b.150           c.125           d.130

The following question is based on the information given below:1. All the faces of a big cube are painted with blue colour.2. The cube is cut into 64 small and equal size cubes.How many small cubes are there whose atleast two faces are coloured?(1) 28 (2) 32 (3) 24 (4) 3

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.