# Math Help - help finding dimensions that minimize cost

1. ## help finding dimensions that minimize cost

find dimensions that minimize cost for a volume at least 3.2 cu meters for a tent. the tent is 2 equilateral triangles with a rectangular base. top material costs $2.25 per square meter, and the floor material costs$1.75 per square meter. trying to minimize cost.

2. please post your attempt so we dont waste time telling you parts that you already know.

Outline solution:
1)if the triangle edge length is R, find the tent depth L that makes the total volume = 3.2
2)hence find the dimension of all sides in terms of R or L (not both)
3)hence find the size of all surfaces and their cost
4)differentiate to find the minimum

3. ## tent

Originally Posted by SpringFan25