Which statements are true about a rectangular pyramid with a height of 9 centimeters and a base with the dimensions of 4 centime
2 answers:
Answer:
B. The area of the base of the pyramid, B, is 24 centimeters squared.
C. A rectangular prism with the dimensions of 9 centimeters by 4 centimeters by 6 centimeters will have 3 times volume of this pyramid.
Step-by-step explanation:
Given a rectangular pyramid with:
Height=9 cm
Base Dimensions = 4 centimeters by 6 centimeters
Base Area B=4 X 6 =24 Square cm.
Therefore, Option B (The area of the base of the pyramid, B, is 24 centimeters squared) is correct.
Volume of a pyramid =
Volume of a Prism with the dimensions of 9 centimeters by 4 centimeters by 6 centimeters
=Base Area X Height
=24 X 9
Now, 216/72=3
Therefore, A rectangular prism with the same dimensions will have 3 times volume of this pyramid
Therefore, <u>Option C is correct.</u>
You might be interested in
To complete the table it is necessary to know the possibilities that the sergeant has to change or remain in an intersection. The probabilities (depending on the box) are:
- 0
- 0.2
- 0.25
- 0.33
<h3>How to calculate the probability of intersection change? </h3>
To know the probability of intersection change, it is necessary to locate the police officer at one of the intersections. Subsequently, count how many possibilities of change you have, for example: 3 possibilities and finally add the possibility of remaining in the intersection as shown below:
- Intersection 3 has 3 possibilities of changing towards intersections 2, 8 and 4. Additionally, it has the possibility of staying at intersection 3, that is, it has 4 possible decisions.
To know the probability we divide the number 1 (because it is only a decision that we have to make) and divide it by the number of possibilities (4).
- 1 ÷ 4 = 0.25
According to the image we can infer that in some intersections they only have 3, 4 and 5 possibilities, so the probability of change will be different as shown below:
- 1 ÷ 3 = 0.33
- 1 ÷ 4 = 0.25
- 1 ÷ 5 = 0.2
Learn more about probabilities in: brainly.com/question/8069952
