Answer:
46
Explanation:
You want to know the number of regular pentagonal prism marshmallows that can be covered with 1.5 L of chocolate if each cm² takes 0.5 mL. The base area is 7 cm², and each rectangular face is 2 cm by 5 cm.
Area
The area of each marshmallow is the sum of the areas of the 2 bases and 5 faces. Each face is a 2 cm by 5 cm rectangle, so has an area of ...
A = LW
A = (5 cm)(2 cm) = 10 cm²
The bases each have an area of 7 cm², so the total area is ...
total area = base area + face area
total area = 2 × 7 cm² + 5 × 10 cm² = 64 cm²
Chocolate
Each cm² takes 0.5 mL of chocolate to cover it, so the chocolate required for one marshmallow is ...
(0.5 mL/cm²)(64 cm²) = 32 mL
1.5 L of chocolate is 1500 mL, so the number that can be covered is ...
(1500 mL)/(32 mL/marshmallow) = 46 7/8
Kaitlyn can completely cover 46 marshmallows with the chocolate she has.