Candy bar box is in the shape of a triangle prism. The volume of the box is 2400 cm³ 17 cm 16 cm 20 cm 17 cm. What is the approximate amount of cardboard used to make the candy box
To find the surface area of the triangle prism candy box, we need to consider the three rectangular faces and two triangular faces.
First, we calculate the total surface area of the triangular faces:
Area of one triangle = (1/2) * base * height
Area of one triangle = (1/2) * 17 cm * 16 cm = 136 cm² (one triangular face)
Total area of two triangular faces = 2 * 136 cm² = 272 cm²
Next, we calculate the total surface area of the rectangular faces:
Area of one rectangular face = length * width
Area of one rectangular face = 17 cm * 20 cm = 340 cm² (one rectangular face)
Total area of three rectangular faces = 3 * 340 cm² = 1020 cm²
Total surface area of the candy box = Total area of two triangular faces + Total area of three rectangular faces
Total surface area of the candy box = 272 cm² + 1020 cm² = 1292 cm²
To calculate the approximate amount of cardboard used to make the candy box, we need to multiply the surface area by the thickness of the cardboard. Let's assume the thickness is 1 mm (0.1 cm):
Cardboard used = Total surface area * thickness
Cardboard used = 1292 cm² * 0.1 cm = 129.2 cm³
Therefore, the approximate amount of cardboard used to make the candy box is 129.2 cm³.