105k views
0 votes
A prism of height 12" has a rhombus with diagonals 6" and 8" for a base. Find the volume. 576  in 3 240 in 3 288 in 3 480 in 3

User Alesub
by
7.5k points

1 Answer

4 votes
To find the volume of the prism, we can use the formula: Volume = base area × height. Since the base of the prism is a rhombus, we can find its area using the formula: Area = (diagonal 1 × diagonal 2) / 2. Plugging in the values, we get: Area = (6 × 8) / 2 = 24 square inches. Now, multiplying the base area by the height of 12 inches, we get: Volume = 24 square inches × 12 inches = 288 cubic inches. So, the volume of the prism is 288 in³.
User Sean Doherty
by
8.4k points