Answer:
The volume of the prism is 840 cm³.
Explanation:
Since the cross-section can be divided into three identical rectangles, the base area of the prism is:
Area of one rectangle = 7 cm × 4 cm = 28 cm²
Area of three rectangles = 3 × 28 cm² = 84 cm²
Therefore, the base area of the prism is 84 cm².
To find the volume of the prism, we need to multiply the base area by the height of the prism.
Height of the prism = 10 cm
Volume of the prism = base area × height
= 84 cm² × 10 cm
= 840 cm³
Therefore, the volume of the prism is 840 cm³.