Hi,
I don't have much time to turn this in.
I think I got all the questions right, but I just want to be sure. I would appreciate some feedback! Thank you!
1. What is the formula for calculating the length of the diagonal of a right rectangular prism on the basis of the prism�s length, width, and height? (Points: 5)
Option A: treqw
Option B: das4d5
Option C: zxz5
Option D: zxxZxxZxZ
2. Find the surface area of the triangular prism.
(two right triangles, a= 3cm, b=4 cm, the depth is 6 cm)
(Points: 5)
x 72 cm2
84 cm2
96 cm2
114 cm2
3. Find the volume of the triangular prism.
(same triangle as above)
(Points: 5)
x 36 cm3
48 cm3
72 cm3
84 cm3
5. What is the distance between (8, -3, 4) and (6, -4, 1)? (Points: 5)
x Option A: sqrt14
Option B: sqrt30
Option C:sqrt62
Option D: sqrt78
7. Which statement is true of every plane in three-dimensional space? (Points: 5)
Every plane must have three intercepts.
x A plane can have only one intercept.
Every plane must have at least two intercepts.
A plane can have no intercepts.
8. What is the total number of edges of an octagonal prism? (Points: 5)
8
10
16
x 24
10. The endpoints of a line segment are at the coordinates (-6, 3, 4) and (4, -1, 2). What is the midpoint of the segment? (Points: 5)
(-10, -2, 2)
(-5, -1, 1)
(-2, 2, 6)
x (-1, 1, 3)
please hurry!
We are not going to take tests or do homework for you. If you are in a hurry, that is your fault. Please show your work if you want to have us verify and/or correct your thought process.
Sure, I'll provide feedback on each question and explain how to get the correct answer.
1. The formula for calculating the length of the diagonal of a right rectangular prism is calculated using the Pythagorean theorem. The diagonal is the hypotenuse of a right triangle formed by the length, width, and height of the prism. To find the formula, we use the square root of the sum of the squares of the three dimensions. That means the correct option would be:
Option A: treqw (this seems to be incorrect, please check your options again and choose the correct one)
2. To find the surface area of a triangular prism, we need to calculate the areas of all the individual faces and then add them together. The surface area of each triangular face can be calculated using the formula: 0.5 * base * height. In this case, since the prism has two right triangles, we need to calculate the area of each triangle and then add them together.
Assuming the base and height dimensions given are for each triangle, the correct option would be:
84 cm2
3. The volume of a triangular prism can be calculated using the formula: 0.5 * base * height * depth. In this case, assuming the base and height dimensions are the same as those mentioned in question 2, the correct option would be:
48 cm3
4. To find the distance between two points in three-dimensional space, we use the distance formula. The formula is:
sqrt((x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2)
Plugging in the values from the question, we get:
sqrt((6 - 8)^2 + (-4 - (-3))^2 + (1 - 4)^2) = sqrt(4 + 1 + 9) = sqrt(14)
So, the correct option would be:
Option A: sqrt14
5. Every plane in three-dimensional space is defined by a minimum of three points. So, the correct option would be:
Every plane must have three intercepts.
6. An octagonal prism has two octagonal faces and eight rectangular faces. Each octagon has 8 edges, and each rectangle has 4 edges. So, the total number of edges would be:
2 * 8 (for the octagons) + 8 * 4 (for the rectangles) = 24
Hence, the correct option would be:
24
7. To find the midpoint of a line segment, we average the x-coordinates, the y-coordinates, and the z-coordinates of the endpoints. So, the correct option would be:
(-1, 1, 3)
Please double-check your answers to ensure accuracy. Good luck!