The base of a prism is a rhombus with diagonals 28 cm and 96 cm.Height of the prism is 32 cm, then its volume is
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Answers
The volume of the prism with a base in the shape of a rhombus is 43008 cm^3.
Step-by-step explanation:
It is given that the prism has a base like a rhombus whose diagonals are
Diagonal 1, d₁ = 28 cm
Diagonal 2, d₂ = 96 cm
So, the area of the base in the shape of a rhombus = ½ * d₁ * d₂ = ½ * 28 * 96 = 1344 cm²
The height of the prism, h = 32 cm
We know that,
The volume of a prism is given by,
Volume = Area of base * Height
Substituting the above values in the formula, we get
The volume of the prism = 1344 * 32 = 43008 cm³
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