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laila [671]
3 years ago
5

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.

Mathematics
2 answers:
weqwewe [10]3 years ago
6 0
Its not 576 because i got it wrong 

oee [108]3 years ago
6 0

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.

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