20/35 and 21/35. The common denominator is 35.
The volume of a triangular prism is V = 1/2 x a x c x h where a is height of the triangle, c is the base of the triangle and h is the height of the prism.
120 = 1/2 x a x c x h; we write a from the previous equation in terms of c and h thus,
a = 240 / ( c x h)
If the dimensions where halved then a = a/2 ; c = c/2 ; h=h/2
We use the volume formula again and substitute the given values to find the new volume,
V = 1/2 x a/2 x c/2 x h/2
Substitute the previously determined a term,
V = 1/2 x (240/2ch) x c/2 x h/2
We cancel and evaluate the constants therefore the new volume is,
V= 15 cm^3
For this case we have the following functions:
We have to:
is given by:
Thus, the correct option is the option is A.
On the other hand,
Thus, the correct option is the option is A.
We also have:
Thus, the correct option is the option is B.
Last we have:
Thus, the correct option is the option is C.
ANswer:
Option A, A, B, C
