A cube has side length a. The side lengths are decreased to 20% of their original size. Write an expression in simplest form for

Question

Marrrta [24]

3 years ago

13

A cube has side length a. The side lengths are decreased to 20% of their original size. Write an expression in simplest form for

the volume of the new cube in terms of a.

Mathematics

2 answers:

Verdich [7] · Answer 1 · 2022-09-09T10:29:37+03:00

Verdich [7]3 years ago

7 0

Answer:

4/8 m if it isn't there then it's 1/2 m

Step-by-step explanation:

Travka [436] · Answer 2 · 2022-09-09T09:03:17+03:00

Answer:

0.512a³ cubic units

Step-by-step explanation:

Given a cube of length, a, then when decreased by 20%, what's left is actually 80% of the original. So, for this case, we have a cube with a length of 80%(a) = 0.80a.

Now, to compute for the volume of a cube, we multiply the length three times to itself. Or, in other words, raise the length to the third power. That means the volume of the new cube is (0.8a)³ = 0.512a³ cubic units.