Question

a box of candy is shaped like a triangular prism as shown below. how many cubic centimeters of candy can the box hold? (there is an image of a triangular prism with base triangle details and height 8 cm, and multiple - choice options: 18 cubic cm, 70 cubic cm, 90 cubic cm, 160 cubic cm)

Explanation:

Step1: Find triangular base area

The base is a triangle with base $5\ \text{cm}$ and height $4\ \text{cm}$. Area formula: $\frac{1}{2} \times \text{base} \times \text{height}$
$\text{Area} = \frac{1}{2} \times 5 \times 4 = 10\ \text{cm}^2$

Step2: Calculate prism volume

Volume of prism = base area $\times$ length ($9\ \text{cm}$)
$\text{Volume} = 10 \times 9 = 90\ \text{cm}^3$

Answer:

90 cubic cm