Aright rectangular prism with square bases has a height of 20 centimeters and a volume of 800 cubic centimeters. which statements describe the prism? select three options. the prism is a cube. the diagonal of the base is 4 centimeters. the length of a side of the base is 20 centimeters. the area of a base is 40 square centimeters. the area of a lateral side between the bases is about 126.5 square centimeters.

The correct statements are:

The area of a base is 40 square centimeters.

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

Step-by-step explanation:

Given information: A right rectangular prism with square bases has Height = 20 cm and volume = 800 cubic cm.

Let a be the length of a side of the base.

Volume of a right rectangular prism is

Volume of prism is

Volume of prism is 800.

Divide both sides by 20.

          .... (1)

Taking square root both sides.

The length of a side of the base is centimeters.

Area of square base is

Using (1) we get,

The area of a base is 40 square centimeters.

The area of a lateral side between the bases is

Substitute the value of a.

Therefore the area of a lateral side between the bases is about 505.96 square centimeters.

The area of a lateral side is

Diagonals of base: Using Pythagoras we get

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step-by-step explanation:

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