The surface area of the chocolate box of chocolates is 510 square units.
To calculate the surface area of the chocolate box, we need to determine the areas of each face and sum them up.
Triangular Base:
The area of a triangle is given by (1/2) * base * height
Base = 15 units
Height = 10 units
Area of one triangular base = (1/2) * 15 * 10 = 75 square units
Lateral Faces:
There are three lateral faces, each measuring 12 units (length) and 10 units (width).
Area of one lateral face = 12 * 10 = 120 square units
Total area of lateral faces = 3 * 120 = 360 square units
Sum of Areas:
Now, we add the areas of all the faces to find the total surface area:
Total surface area = 2 * 75 (base areas) + 360 (lateral areas)
Total surface area = 150 + 360
Total surface area = 510 square units
Therefore, the surface area of the chocolate box of chocolates is 510 square units.
Question
A chocolate box is in the shape of a triangular prism that has a triangular end with a base of
15 units and a height of 10 units. The length of each side of the box is 12 units and the width
of each side of a box is 10 feet. What is the surface area of the cardboard box of chocolates?