Question

The base of a prism is a rhombus with diagonals 28 cm and 96 ein. If the height of the prism is 32 cm then its volume is​

Answer 1

Answer:

The volume is 43000 cm3

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Answer 2

Answer:

The Volume of the rhombus is 43008 cubic cm

Step-by-step explanation:

 Let the diagonals of the rhombus be represented by D1 and D2 and the height be represented by H

D1 = 28 cm, D2 = 96 cm, H = 32 cm

We need to calculate the Volume. Let this be represented by V and area be represented by A.

Formula: V = A*H

Therefore,

Area of the rhombus A = (D1*D2)/2

Hence, Area of the rhombus is 28*96/2 = 1344 sq cm

Now,

V = A*H = 1344*32

Therefore, Volume (V) of the rhombus = 43008 cubic cm