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contestada

what is the volume of the triangular prism shown below?
A 960 cu. units
B 240 cu. units
C 480 cu. units
D 720 cu. units

what is the volume of the triangular prism shown belowA 960 cu unitsB 240 cu unitsC 480 cu unitsD 720 cu units class=

Respuesta :

V: L•W•H÷2.
V: 20•6•8 ÷2
V: 960÷2
V: 480

Answer:

Option C is correct.

Step-by-step explanation:

Given:

Triangular prism

To find: Volume of the prism.

From figure,

Triangle of the base is a right angled triangle.

Legs of the triangle are 8 units and 6 units

Height of the Prism = 20 units

We know that,

Volume of the prism = Area of the Base × Height

Area of the Base = [tex]\frac{1}{2}\times Base\times Height=\frac{1}{2}\times8\times6=24\,units^2[/tex]

⇒ Volume of the prism = 24 × 20 = 480 units³.

Therefore, Option C is correct.