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

3 0

3 years ago

A school has a hurdle track that is 1/5 of a mile long. They are considering extending the track to be 1/4 of a mile long. The c

Anastaziya [24]

Answer: 4/5

Step-by-step explanation:

Here, The hurdle track that is 1/5 of a mile long.

And, After extending the track, the length of the hurdle track = 1/4 of a mile

Therefore, the unit rate of length in the longer track per mile of length in the shorter track = the initial length of the hurdle track / the final length of the hurdel track

= $\frac{1/5}{1/4}$