NO LINKS! URGENT HELP PLEASE! Find the volume of the figure. Leave answer exact.

Question

asked Jul 6, 2024 75.3k views

2 Answers

Gaurav Singla · Answer 1 · 2024-07-08T09:44:03+0000

Answer: 72 cm³

Explanation:

Volume = Bh

B = Area of base, triangle = 1/2 bh

B = 1/2 (6)(8)

B = 3(8)

B= 24

h= height of figure = 3

V = Bh

V = 24(3)

V = 72 cm³

TjDillashaw · Answer 2 · 2024-07-11T16:37:27+0000

Answer:

72 cm³

Explanation:

The formula for the volume of a triangular prism is:

$\boxed{\sf Volume\;of\;a\;triangular\;prism=base\;area * height}$

The bases of a triangular prism are the triangles.

The area of a triangle is half the product of its base and height.

$\boxed{\sf Area\;of\;a\;triangle=(1)/(2)bh}$

From inspection of the given diagram:

Therefore, the volume of the given triangular prism is:

$\begin{aligned}\sf Volume&=\sf area\;of\;base\;triangle * height\\\\&=(1)/(2)(6)(8) * 3\\\\&=(3)(8) * 3\\\\&=24 * 3\\\\&=72\; \sf cm^3\end{aligned}$