Final answer:
To find the volume of the chocolate bar, we need to multiply the area of the triangular base by the height. The base is an isosceles triangle with equal sides measuring 4 cm and the third side measuring 5 cm. The volume of the chocolate bar is 180 cm³.
Step-by-step explanation:
To find the volume of the chocolate bar, we need to multiply the area of the triangular base by the height. The base is an isosceles triangle with equal sides measuring 4 cm and the third side measuring 5 cm. To find the area of the triangle, we can use Heron's formula or divide it into two right triangles and use the Pythagorean theorem. Let's divide it into two right triangles. Each right triangle has a base of 4 cm and a height of 3 cm (half of 5 cm). The area of a right triangle is given by (base × height) ÷ 2. So, the area of one right triangle is (4 cm × 3 cm) ÷ 2 = 6 cm². Since there are two right triangles, the total area of the base is 2 × 6 cm² = 12 cm². Now, we can find the volume by multiplying the area of the base by the height. Volume = (12 cm²) × (15 cm) = 180 cm³.
Therefore, the volume of the chocolate bar is 180 cm³, so the correct answer is C. 200 cm³