Answer:
Volume of a prism = area of base × height
⇒ V = Bh
Question 7
The base of this prism is the triangle.
Area of a triangle = 0.5 × base × height
Given:
- base of triangle = 4.2 m
- height of triangle = 2.8 m
- height of prism = 7 m
Therefore:
[tex]\begin{aligned}\sf V & = \sf Bh\\ & = \sf (0.5 \cdot \boxed{\sf 4.2} \cdot \boxed{\sf 2.8}) \cdot 7\\ & = \sf \boxed{\sf 41.16}\:m^3\end{aligned}[/tex]
Question 8
The base of this prism is a regular hexagon.
Area of a hexagon = 0.5 × apothem × perimeter
Given:
- apothem of base = 6.1 cm
- side length of base = 7 cm
- number of sides of base = 6
- height of prism = 14 cm
Therefore:
[tex]\begin{aligned}\sf V & = \sf Bh\\ & = \sf (0.5 \cdot \boxed{\sf 6.1} \cdot 7 \cdot 6) \cdot \boxed{\sf 14}\\ & = \sf 128.1 \cdot \boxed{\sf 14}\\ & = \sf \boxed{\sf1793.4}\:cm^3\end{aligned}[/tex]
