153k views
0 votes
Question 23 Read the question and type your response in the box provided. Your response will be saved automatically. Anthony has two cubes. The side length of each cube is shown in the table below. Enter the missing values in the (6s2 ) in square centimete Side length( s )in centimeters Volume ( 33 ) in cubic centimeters Surface area 54 3 5 Illuminate Education, Inc.

Question 23 Read the question and type your response in the box provided. Your response-example-1
User Soapbar
by
5.2k points

1 Answer

7 votes

We know that the volume of a cube is one of the sides raise to the third power.

In this case, we have that we need to raise, both, 3 and 5 to the third power to obtain the volume in cubic centimeters. Then, we have:

For s = 3:


s^3=3\cdot3\cdot3=3^3=27\operatorname{cm}^3

For s = 5:


s^3=5^3=5\cdot5\cdot5=125\operatorname{cm}^3

Then, to find the surface area, we know that the area of one side of the cube is the side to the second power. Since the cube has 6 sides, then, we need to multiply this side by 6. Thus:


6\cdot(3^2)=6\cdot9=54cm^2

That is the given value: 54 cm^2.

The other side is:


6\cdot(5^2)=6\cdot25=150\operatorname{cm}^2

Therefore, the answers are:

For the first row:

27 cm^3, 54 cm^2.

Second row:

125 cm^3, 150 cm^2.

Question 23 Read the question and type your response in the box provided. Your response-example-1
User Innat
by
5.0k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.