Question

Find the approximate volume of this prism.

Answer 1

Answer:

62m³

Step-by-step explanation:

The question is incomplete. Find the diagram of the prism attached below.

Volume of a Prism = Base area × Height

Given height = 9m

Since the prism is a triangular based prism,

Base area = area of the equilateral triangle = 1/2bh

base of the triangle = 4m

Height can be gotten using Pythagoras theorem.

Slant side of the triangle is the hypotenuse = 4m

Adjacent = 1/2 of the base = 1/2(4)= 2m

Height = √4²-2²

Height = √16-4

Height of the triangle= √12 m

Base Area = 1/2×4×√12

Base Area = 2√12 m

Volume of the prism = 2√12 × 9

= 2×2√3×9

= 36√3 m³

= 62.2m³

Volume of the prism is approximately 62m³