Question

1. diagram of a prism with dimensions 12 cm, 11 cm, 5 cm, 7 cm, 4.6 cm

12)

Explanation:

Step1: Calculate trapezoid base area

The base is a trapezoid. Use trapezoid area formula: $\text{Area} = \frac{1}{2} \times (\text{sum of parallel sides}) \times \text{height}$
$\text{Base Area} = \frac{1}{2} \times (7 + 12) \times 4.6$
$\text{Base Area} = \frac{1}{2} \times 19 \times 4.6 = 43.7 \, \text{cm}^2$

Step2: Calculate prism volume

Volume of prism = base area × length
$\text{Volume} = 43.7 \times 11$

Answer:

$480.7 \, \text{cm}^3$