234k views
22 votes
Ayasha and Michael draw cubes. Each side of Ayasha cube has a length of 7 m each side of Michael's cube has a link that is double the length of Ayasha cube compare the surface areas of the cubes

User Meliborn
by
7.6k points

1 Answer

9 votes

9514 1404 393

Answer:

Michael's cube has 4 times the surface area of Ayasha's cube

Explanation:

When linear dimensions of similar figures are scaled by a factor k, their surface areas are scaled by the factor k², and their volumes are scaled by the factor k³.

Here, Michael's cube is 2 times the length of Ayasha's cube, so the surface area of his cube will be 2² = 4 times the surface area of Ayasha's cube.

_____

The surface area of the cube is ...

A = 6s²

so Ayasha's cube has an area of ...

A = 6(7 m)² = 294 m²

Michael's cube has an area of ...

A = 6(2·7 m)² = 4·294 m² = 1176 m²

User Aneudy
by
8.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories