MATHEMATICS MIDDLE SCHOOL

A plane slices diagonally through a rectangular prism as shown. Which term best describes the cross-section formed by the intersection of the plane and the prism?

Answers

Answer 1

Answer:

Answer:

Rectangle shaped cross section is formed by intersection of plane and prism.

Step-by-step explanation:

Given: A rectangular Prism.

To find: Shape of Cross Section when a plane intersect the prism diagonally

A plane intersect the Rectangular prism .i.e, Cuboid diagonally which means plane passes from top edge of cuboid to edge on bottom on opposite side.

Figure is attached.

In this way we get a Rectangular shaped Cross section which includes edges of cuboid and diagonals of the side faces.

Therefore, Rectangle shaped cross section is formed by intersection of plane and prism.

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The sum of three consecutive odd integers is -9. what are the numbers?

Answers

(-2)+(-3)+(-4)= -9 this is the right answer to your question.

Jeremy drew a polygon with four right angles and four sides with the same length. Name all the polygons that he could have drawn.

Answers

a square. Only a square could have 4 right angles and 4 sides the same length

Sales in the printing business have doubled for James in each of the last three months. During the last month, he made a profit of $520. If the pattern continues, what will be his three month total profit at the end of the next three months?

Answers

The equation for his currnet sales can be as follows:
x=520*2^n
n is the current month
We are looking for the sum of next 3 months, so n+1, n+2 and n+3.

520*2^(n+1)+520*2^(n+2)+520*2^(n+3)=520*4+520*8+520*16=2080+4160+8320=14560

A number cube is rolled three times. What is the probability of rolling a number less than 3 each time?

Answers

Final answer:

The probability of rolling a number less than 3 three times in a row on a number cube (or die) is 1/27.

Explanation:

The subject of this question is probability in mathematics. A number cube, often referred to as a die, has six faces numbered 1 through 6. If we are looking for the probability of rolling a number less than 3, we are looking for the probability of rolling a 1 or a 2. Out of six possibilities, two are successful outcomes (1 and 2), so the probability of rolling a number less than 3 in one roll is 2 out of 6, or 1/3.

However, since the number cube is rolled three times, we have to consider this probability for each roll. In probability, when we want to find the likelihood of multiple events all occurring, we multiply the probabilities of each individual event. Therefore, the probability of rolling a number less than 3 three times in a row is (1/3) * (1/3) * (1/3) = 1/27.