Subjects geometry

Toblerone Volume 4633Ca

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1. **State the problem:** We need to find the total volume of 9 Toblerone chocolate bars arranged together. Each Toblerone bar is shaped like a triangular prism with a base length of 4 cm, a height of 5 cm, and a length of 24 cm. 2. **Formula for volume of a triangular prism:** $$\text{Volume} = \text{Area of triangular base} \times \text{length}$$ 3. **Calculate the area of the triangular base:** The area of a triangle is given by: $$\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}$$ Substitute the values: $$\text{Area} = \frac{1}{2} \times 4 \times 5 = 10 \text{ cm}^2$$ 4. **Calculate the volume of one Toblerone bar:** $$\text{Volume} = 10 \times 24 = 240 \text{ cm}^3$$ 5. **Calculate the total volume for 9 bars:** $$\text{Total volume} = 9 \times 240 = 2160 \text{ cm}^3$$ **Final answer:** The total volume of the display is $$2160 \text{ cm}^3$$