Rhombus base

Calculate the volume and surface area of prisms whose base is a rhombus with diagonals u1 = 12 cm and u2 = 10 cm. Prism height is twice base edge length.

Result

V =  937.23 cm2

Solution:

a2=(u1/2)2+(u2/2)2 a=7.81 cm V=(u1u2/2)⋅2a=u1u2a=937.23 cm2a^2 = (u_1/2)^2 + (u_2/2)^2 \ \\ a = 7.81 \ cm \ \\ V = (u_1 u_2 /2 )\cdot 2 a = u_1 u_2 a = 937.23 \ \text{cm}^2

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