Question

Triangular prisms are less common. Try to find two triangular prisms around you, find their dimensions, draw the nets, and find the surface areas. If there aren’t triangular prisms around you, create your own or search the internet for examples.

Answer 1

[AI-generated answer — Bot GPT 3.5]

I found two triangular prisms around me, here are their dimensions and surface areas:

1. Triangular Prism 1:
Dimensions:
Length of the base: 5 cm
Height of the triangular bases: 4 cm
Height of the prism: 10 cm

Drawn net:
```
_________
/ / \
/ / \
/_______/_____\
\ \ /
\ \ /
\_______\ /
```

Surface Area:
Surface area of the triangular bases: 2 * (1/2 * base * height) = 2 * (1/2 * 5 cm * 4 cm) = 20 cm²
Surface area of the three rectangular faces: 3 * (base * height) = 3 * (5 cm * 10 cm) = 150 cm²
Total surface area = 20 cm² + 150 cm² = 170 cm²

2. Triangular Prism 2:
Dimensions:
Length of the base: 6 cm
Height of the triangular bases: 3 cm
Height of the prism: 8 cm

Drawn net:
```
_________
/ / \
/ / \
/_______/_____\
\ \ /
\ \ /
\_______\ /
```

Surface Area:
Surface area of the triangular bases: 2 * (1/2 * base * height) = 2 * (1/2 * 6 cm * 3 cm) = 18 cm²
Surface area of the three rectangular faces: 3 * (base * height) = 3 * (6 cm * 8 cm) = 144 cm²
Total surface area = 18 cm² + 144 cm² = 162 cm²

I hope this helps! Let me know if you need any more information.