## A prism of height 12″ has a rhombus with diagonals 6″ and 8″ for a base. Find the volume. 240 cu. in. 288 cu. in. 576 cu. in.

Question

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## Answers ( No )

Answer:Option 2nd is correct

volume of prism is, 288 cu. in.Step-by-step explanation:Volume of prism(V) is given by:…..[1]

where,

Bis the Base areahis the height of the prism.Area of rhombus(A) is given by:where,

are the diagonals of the rhombus.

As per the statement:A prism of height 12″ has a rhombus with diagonals 6″ and 8″ for a base.

⇒, and h = 12″

Find the base area i.,e Area of rhombus.Simplify:square inches.

Substitute the given values in [1] we have;

cubic inches.

Therefore, the volume of prism is, 288 cu. in.its not 576 because i got it wrong