To calculate the volume of the triangular prism (the tent), we can use the formula \( V = B \times h \), where \( B \) is the area of the triangular base and \( h \) is the height (or length) of the prism.
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Calculate the area of the triangular base (B): The area \( A \) of a triangle is given by the formula: \[ A = \frac{1}{2} \times \text{base} \times \text{height} \] In this case, the width (base) is 6 cm and the height is 4 cm: \[ A = \frac{1}{2} \times 6 , \text{cm} \times 4 , \text{cm} = \frac{1}{2} \times 24 , \text{cm}^2 = 12 , \text{cm}^2 \]
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Now calculate the volume (V) using the height (length) of the prism: The height of the prism is given as 11 cm: \[ V = B \times h = 12 , \text{cm}^2 \times 11 , \text{cm} = 132 , \text{cm}^3 \]
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Significant figures: Both the base (6 cm) and height (4 cm) have 1 significant figure after the leading number, and the length (11 cm) has 2 significant figures. Therefore, the final volume should be reported with the least number of significant figures, which is 1.
The correctly reported volume of the tent is 130 cm³ (rounded to 2 significant figures, which has been simplified from 132).
So, the correct answer is:
130 centimeters cubed.