Identify the two-dimensional shape of the cross section if a cube is sliced horizontally. Then identify the two-dimensional shape of the cross section if a cube is sliced vertically.
Explain why the shape are the same or different
Horizontal cross section : we get a square in the horizontal plane, its side is the same as the cube's.
Vertical cross section : we get a square in the vertical plane, its side is the same as the cube's.
Hence, the two shapes are the same (two squares with same sides are the same)
think about the shape of a cube.
All the horizontal faces and vertical faces are the same shape.
Measurement Unit 2 test part 1
1. D. 1618.2
2. A. 107.1
3. A. 90
4. C. 23.236
5. C. 624.26
6. D. 13
7. B. Irrational number
8. C. 19.4
9. C. 1008
10. B. 95
11. A. Sphere
12. B. 61
13. A. 52
14. D. 64
15. D. 390
16. A. 272
17. A. 1055.04
18. A. 56
Essay questions have not been graded yet...
19. When baking a cake, (essay question)
The 6 x 9 x 2 rectangular pan will have a larger volume.
Round pan
V=3.14×r^2×h
V=3.14×3.5×3.5×2
V=21.98 cubic inches
Rectangular pan
V=L×W×H
V=9×6×2
V=108 cubic inches
20. Consider the 6 inch x 9 inch rectangular cake that is 2 inches deep.
A=2(wl+hl+hw)
A=2(9×6+2×6+2×9)
A=2×84
A=168
21. Can the numbers 24, 32, 40 be the lengths of the three sides of a right triangle?
Yes,
Using the Pythagorean theorem (a^2+b^2=c^2)
24^2+32^2=40^2
24^2=576
32^2=1024
40^2=1600
576+1024=1600
22. If you were going to represent the to view of the figure, state which boxes should be shaded.
3, 4, 7, 9, 10, 11, and 13 should be shaded.
23. a. Consider the vibe shown below. Identify the two dimentional shape of the cross section of the cube is sliced horizontally.
"Horizontally would be a square"
b. Starting with the same cube, identify the two dimentional shape of the cross section of the cube is sliced vertically.
"Vertically would be a square"
c. Explain why the shapes are the same or different.
"They are the same because all the faces in a square cube are the same shape."
Hope this helps 🙏
hi thanks but i am doing a different question
Hi thanks
The cube below is cut perpendicular to its base. What two-dimensional
shape is formed by the cross section?
Measurement Unit 2 test part 2
Not graded yet:
A glass box shaped like a rectangular prism has a width 7 inches, length 9 inches, and height 12 inches. It is being shipped in a larger box with width 10 inches, length 10 inches, and height 15 inches. The space the glass box and the shipping box will be filled with Styrofoam peanuts. How many cubic inches of space will contain Styrofoam peanuts? Show all work.
Find the volume of each container. V=whl
Box 1: 7×9×12 = 756 inches cubed
Box 2: 10×10×15 = 1500 inches cubed
Then subtract 756 from 1500 to find the space between the two containers.
1500 - 756 = 744 inches cubed
Note: Enter your answer and show all the steps that you use to slove this problem in the space provided.
/\ 4inches x
[] 10 inches x
_ 3 inches x
/_\ 2inches x 5 inches
Find the area of each piece that makes up the rocket.
To triangle
A=hb/2
A=(4×3)/2=12/2=6
Middle rectangle
A=lw
A=3×10=30
Bottom trapezoid
A=(a+b)/2×h
A=(5+3)/2×2
A=8/2×2
A=4×2
A=8
Now add all three sums:
30+6+8=44in^2
Posted by Abigail Bush
Hope this helps!🙏