Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
johnjan
Group Title
a 3x3x3 cube is built out of 27 1x1x1 blocks. Then, seven 1x1x1 blocks are removed. Specifically, the center block from each of the six of the cube is removed and the center block of the cube is removed. What is the total surface area of the modified cube?
 7 months ago
 7 months ago
johnjan Group Title
a 3x3x3 cube is built out of 27 1x1x1 blocks. Then, seven 1x1x1 blocks are removed. Specifically, the center block from each of the six of the cube is removed and the center block of the cube is removed. What is the total surface area of the modified cube?
 7 months ago
 7 months ago

This Question is Closed

sleung Group TitleBest ResponseYou've already chosen the best response.1
In general, the equation for surface area is \[SA=2lw+2wh+2lh\] Since l,w,h are all the same in a cube they can be renamed as side s, modifying it to \[SA=6s ^{2}\] Since s=1, SA=6 for each 1*1*1 cube. For the original 3*3*3, SA=6*27, or 162. However, the center cube of each face is taken away, so now there are 21 1*1*1 cubes left. Therefore, the total surface area of this modified cube is 6*21, or 126, square units.
 7 months ago

johnjan Group TitleBest ResponseYou've already chosen the best response.0
Thank you. The formula is correct. But there were 7 cubes removed, not 6. so the final answer would be 120.
 7 months ago
See more questions >>>
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.