Question

A right rectangular prism with square bases has a height of 20 centimeters and a volume of 800 cubic centimeters.

Answer 1

Answer:

The length of a side of the base is 20 centimeters.

The area of a lateral side between the bases is about 126.5 square centimeters.

Step-by-step explanation:

It's a rectangular prism with a total volume of 800 cu cm, and a height of 20 cm.

So, the base has an area of...  800/20 = 40 sq cm.

The prism is a cube.   NO.  If it was a cube, the base would be 400 sq cm (20x20), since the height is 20.

The diagonal of the base is 4 centimeters. NO. with a base of 40 sq cm, it's impossible to have a diagonal of 4 cm.  A diagonal would form a hypotenuse... and an hypotenuse is longer than the two other sides... an hypotenuse of 4 would mean for example sides of about 2 and 3...  which gives 6 sq cm for the base, not 40.

The length of a side of the base is 20 centimeters.  COULD BE. The base is 40 sq cm, it could have a side of 20 and the other of 2.  Without knowing more about the prism than what's included in the question, we can't say YES and we can't say NO.

The area of a base is 40 square centimeters.  Yes

The area of a lateral side between the bases is about 126.5 square centimeters. YES, since the height is 20, that would mean one side of the base would be roughly 6.325 cm... for a base area of 6.325 x 6.325 = 40 sq cm.

Answer 2

Answer:

1. The area of a base is 40 square centimeters.

2. The area of a lateral side between the bases is about 126.5 square centimeters.

Step-by-step explanation:

The statements that describe the prism are:

1. The area of a base is 40 square centimeters.

To find the volume of any rectangular prism, we use the formula $base \times height$.

It is given that the volume of prism is 800 cubic centimeters and height is 20 centimeters.

Putting these values in the volume formula, to find base(B):

$800=B(20)$

$B=40$

Hence, area of base is 40 square centimeters.

2. The area of a lateral side between the bases is about 126.5 square centimeters.