Question

Josie has /60 cubic centimeter of candle wax. She wants to make a hexagonal prism candle with a vase area of 21 square centimeters and height of 8 centimeters. She also wants to make a triangular prism candle with a height of 14 centimeters. Can the bass area of the triangular prism candle be 7 square centimeters

Answer 1

If Josie only has 60 cm^3 of wax, she doesn't have enough for either model candle.

The candle volume (V) is the product of base area (B) and height (h).

V = Bh
For the hex candle,
.. V = (21 cm^2)*(8 cm) = 168 cm^3

For the triangular candle,
.. V = (7 cm^2)*(14 cm) = 98 cm^3

Both candles are more than 60 cm^3.

The triangular candle is less than 160 cm^3. If that is the volume of wax Josie has, then she could make one of those.