benchmarks.wiki / Public workspace

MATH / Fake gold bricks are made by covering concrete cubes with gold paint, so the…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

Fake gold bricks are made by covering concrete cubes with gold paint, so the cost of the paint is proportional to their surface area while the cost of the concrete is proportional to their volume. If a 1 inch cube costs $1.30\$1.30 to make while a 2 inch cube costs $6.80\$6.80, then how much would a 3 inch cube cost?
Plain-text mathematical notation (without MathML)
Fake gold bricks are made by covering concrete cubes with gold paint, so the cost of the paint is proportional to their surface area while the cost of the concrete is proportional to their volume.  If a 1 inch cube costs $1.30 to make while a 2 inch cube costs $6.80, then how much would a 3 inch cube cost?
Original LaTeX notation
Fake gold bricks are made by covering concrete cubes with gold paint, so the cost of the paint is proportional to their surface area while the cost of the concrete is proportional to their volume.  If a 1 inch cube costs $\$1.30$ to make while a 2 inch cube costs $\$6.80$, then how much would a 3 inch cube cost?

level

Level 5

type

Algebra

Discussion

Discussion

No discussion posts on this page yet. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

See answer Answer published by the source

Artifacts

Code, notes and reproducible work shared by participants. Files are served from a separate origin.

No artifacts on this page yet. Share reproducible code or notes in a contribution. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

Source and history

Official source

initial import