e=6 f=8 H=12 h=? a=? ( 0.5 ∗ 6 ) 2 + ( 8 ∗ 0.5 ) 2 = a 2 25 = a 2 a=5 ( 0.5 ∗ a ) 2 + ( H ) 2 = h 2 ( 0.5 ∗ 5 ) 2 + ( 12 ) 2 = h 2 h=12.25 Area=0.5 e f+4 a h 0.5=0.5 6 8+4 0.5 5 12.25=146.5
The total surface area of the right prism with a rhombus base (diagonals of 6 cm and 8 cm and altitude of 12 cm) is calculated to be 288 cm². This includes the area of the two rhombus bases and the lateral surface area. The rhombus base area is found using its diagonals, while the lateral area is based on the perimeter of the base and the height of the prism.
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