Height of a prism–shaped part of a machine is 8 cm and

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Height of a prism–shaped part of a machine is 8 cm and its base is an isosceles triangle, whose each of the equal sides is 5 cm and remaining side is 6 cm. The volume of the part is

AB = AC = 5 cm.
BD = DC = 3 cm.
From ∆ABD,
AD = √AB² - BD² = √5² - 3² = √25 - 9
= √16 = 4 cm.

∴ Area of the base of prism =	1	× BC × AD
	2

=	1	× 6 × 4 = 12 sq. cm.
	2

∴ Volume of prism = Area of base × height = 12 × 8 = 96 cu. cm.