What is the volume of the following prism?

A prism which has a right triangle for the base and a height of 6 centimeters. The legs of the right triangle are 4 cm and 8 cm.

A. 72 cm³
B. 84 cm³
C. 96 cm³
D. 80 cm³

What is the volume of the following prism A prism which has a right triangle for the base and a height of 6 centimeters The legs of the right triangle are 4 cm class=

Respuesta :

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The formula of a volume of a prism:

[tex]V=BH[/tex]

[tex]B[/tex] - the area of a base

[tex]H[/tex] - the height

Calculate the area of a base:

[tex]B=\dfrac{4\cdot8}{2}=16\ cm^2[/tex]

Calculate the volume of the prism:

[tex]V=16\cdot6=96\ cm^3[/tex]

Answer: C. 96 cm³