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

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.

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Answers ( No )

    0
    2021-11-25T20:20:57+00:00

    Answer:

    Option 2nd is correct

    volume of prism is, 288 cu. in.

    Step-by-step explanation:

    Volume of prism(V) is given by:

    V = B \cdot h               …..[1]

    where,

    B is the Base area

    h is the height of the prism.

    Area of rhombus(A) is given by:

    A = \frac{1}{2}d_1 \cdot d_2

    where,

    d_1, d_2 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.

    d_1 = 6", d_2= 8" and h = 12″

    Find the base area i.,e Area of rhombus.

    B = \frac{1}{2}(6 \cdot 8)

    Simplify:

    B = 24 square inches.

    Substitute the given values in [1] we have;

    V = 24 \cdot 12 = 288 cubic inches.

    Therefore, the volume of prism is, 288 cu. in.

    0
    2021-11-25T20:21:16+00:00

    its not 576 because i got it wrong 

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