Question

Don't remind me that im loosing points for this :D


H e l p Thank youuu

Answer 1

Question :-

Volume of the triangular prism.

Given in the figure:-

1. height = 8 ft
2. length = 12ft
3. width = 6⅔ ft

Formula:-

1. Volume = area of triangle (2D ) × length
2. Area of triangle = ½ × height× width

Explanation:-

`Area \: of \: triangle = ½ × height× width \\ area = (1)/(2) * 8 * (20)/(3) \\ area = \frac{{ \cancel8} {}^( \: \: 4) }{ \cancel2} * (20)/(3) \\ area = (80)/(3) {ft}^(2)`

Now for volume :-

Volume = area of triangle (2D ) × length

`volume = area * length \\ vol = (80)/(3) * 12 \\ vol = (80)/( \cancel3) * { \cancel{12}} {}^( \: \: 4) \\ volume = 320 {ft}^(3)`

Answer:-

volume = 320 ft³

Answer 2

`\boxed{\sf volume = 320 \ ft^3}`

Step-by-step explanation:

Volume of triangular prism = 1/2 × Base × Height × Length

Identify the following:

• Base: 6 2/3 ft

• Height: 8 ft

• Length: 12 ft

Find Volume:

• 1/2 × 6 2/3 × 8 × 12

• 1/2 × 640

• 320 ft³