Question

A solid oblique pyramid has an equilateral triangle as a base with an edge length of 4StartRoot 3 EndRoot cm and an area of 12StartRoot 3 EndRoot cm2.

Answer 1

its b

Explanation:

i just took the test on edge

Answer 2

16√3 cm³

Explanation:

The volume of a triangular prism is given as:

V = (1/3)B*h

Where B is the area of the base and h is the height of the prism.

Given that B = 12√3. The height fro the diagram is BC.

Since ∠BAC = 30° and ∠BCA = 90°, we can find BC using trigonometric identity.

tan(30) = BC / AC

but AC = 4√3, hence:

tan(30) = BC / (4√3)

BC = 4√3(tan 30)

BC = 4

V = (1/3)B*h = (1/3)B* BC = (1/3) * 12√3 * 4 = 16√3 cm³