Question

Can someone help me with this and tell me the steps too

Answer 1

B. 2.2ft

Explanation:

160 is the volume

The volume of a rectangular prism is equal to its width, its length, and its height, all multiplied together.

First, we divide by the height.

160/8 = 20

Now, we find the width (w) and length (l).

4w = l

w(l) = 20

Substitute l with 4w.

w(4w) = 20

4w^2 = 20

w^2 = 5

w = √5

And since l is 4 times w.

w = √5

l = 4√5

h = 8

Since we are solving for the width, we will go with the closest to the answer closest to the square root of five.

√5 = 2.23606

Therefore, the answer is B. 2.2 ft

Answer 2

B. 2.2

Explanation:

Volume of a rectangular prism = length*width*height

You can replace the width with the variable x for now, the height is given in the problem, and the length is 4 times the width so in this case it's 4x.

160 = 4x*x*8

160 = 32x^2

5 = x^2

The square root of five is about 2.2 so B is the correct answer