Mathematics, 31.08.2019 00:00 aarieejones

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.

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Answer from: hmu323

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

$V=length \times breadth \times height$

Volume of prism is

$V=a \times a \times 20$

V=20a^2

Volume of prism is 800.

800=20a^2

Divide both sides by 20.

40=a^2 .... (1)

Taking square root both sides.

$\sqrt{40}=a$

The length of a side of the base is $\sqrt{40}$ centimeters.

Area of square base is

A=a^2

Using (1) we get,

A=40

The area of a base is 40 square centimeters.

The area of a lateral side between the bases is

A=2(l+b)h

A=2(a+a)(20)

A=40(2a)

A=80a

Substitute the value of a.

$A=80(\sqrt{40})\approx 505.96$

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

The area of a lateral side is

$A=ha=20\times \sqrt{40}\approx 126.5$

Diagonals of base: Using Pythagoras we get

$hypotenuse=\sqrt{leg_1^2+leg_2^2}$

$d=\sqrt{a^2+a^2}$

$d=\sqrt{40+40}$

$d=\sqrt{80}$

Answer from: Quest

answer: 21$

step-by-step explanation:

$42 / $14 = 3 (ratio 3: 1)

$7 x 3 = $21

Answer from: Quest

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the tone of the first line of dialogue until "gettysburg" is a kind tone, a tone of advise. the narrator is trying to the other person in doing something he or she obviously is finding hard to do by giving a piece of advise and bringing up a memory of a successful similar case.

the clue that the reader understand how to read the word "bang" is the exclamation mark. it gives the word a surprise tone, a strong accent.

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