Question

(100 POINTS) Please help I'll give brainliest! Image attached.

Answer 1

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:

$\begin{aligned}\sf V & = \sf Bh\\ & = \sf (0.5 \cdot \boxed{\sf 4.2} \cdot \boxed{\sf 2.8}) \cdot 7\\ & = \sf \boxed{\sf 41.16}\:m^3\end{aligned}$

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:

$\begin{aligned}\sf V & = \sf Bh\\ & = \sf (0.5 \cdot \boxed{\sf 6.1} \cdot 7 \cdot 6) \cdot \boxed{\sf 14}\\ & = \sf 128.1 \cdot \boxed{\sf 14}\\ & = \sf \boxed{\sf1793.4}\:cm^3\end{aligned}$

Answer 2

#1

Area of base=1/2(2.8)(4.2)

• 2.8(2.1)
• 5.88in²

Volume:

• Area of base×Height
• 5.88(7)
• 41.16in³

#2

Area of base

• 6×1/2(7)(6.1)
• 3(7)(6.1)
• 128.1cm²

Volume:-

• 128.1(14)
• 1793.4cm³