Answer:
12
Step-by-step explanation:
A rhombus is a parallelogram with all four sides equal.
Its diagonals are perpendicular.
Each of the triangles formed by the diagonals and the sides are congruent, so the area of the rhombus is 4 times the area of one of the triangles.
Since the short diagonal is given as 4, each of the triangles can be viewed as having a base of 2. Each triangle's height, h, then is one half the length of the long diagonal.
The are of one of the triangles is 1/2 (base)(height)=(1/2)(2)h
The area of the rhombus is then
4(1/2)(2)h=24
Solving for h gives
h=6
This makes the length of the long diagonal 2h=12
F(3)=16 i saw this problem before so it should be the answer in the end
In order to find the volume, you have to find the volume ratio. To find the volume ratio you have to cube the scale factor. 1/2 cubed is 1/8. Now to find the volume, you multiply the volume ratio by the volume of the original prism.
160x1/8= 20
The answer is 20cm3
