Question

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


H e l p Thank youuu

Answer 1

Answer:

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

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

Answer 2

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:-

$Area \: of \: triangle = ½ × height× width \\ area = \frac{1}{2} \times 8 \times \frac{20}{3} \\ area = \frac{{ \cancel8} {}^{ \: \: 4} }{ \cancel2} \times \frac{20}{3} \\ area = \frac{80}{3} {ft}^{2}$

Now for volume :-

Volume = area of triangle (2D ) × length

$volume = area \times length \\ vol = \frac{80}{3} \times 12 \\ vol = \frac{80}{ \cancel3} \times { \cancel{12}} {}^{ \: \: 4} \\ volume = 320 {ft}^{3}$

Answer:-

volume = 320 ft³