To find the volume of a prism, you can use the formula:
Volume = Base Area × Height
In this case, we have a prism with a height of 12 units and a rhombus as the base. To proceed, we first need to calculate the area of the rhombus.
The area of a rhombus can be calculated using the formula:
Area = (d1 × d2) / 2
where d1 and d2 are the lengths of the diagonals. In our case, the diagonals are given as 6 units and 8 units. Now let’s plug these values into the formula:
Area = (6 × 8) / 2 = 48 / 2 = 24 square units
Now that we have the area of the base, we can find the volume of the prism:
Volume = Base Area × Height = 24 × 12 = 288 cubic units
Thus, the volume of the prism is 288 cubic units.