Card 1 of 20
EasyStudy card 1
Prompt
What defines the two bases of a prism?
Answer
They are congruent, parallel polygonal faces.
MathChapter 20: Surface Areas and Volumes
Flashcards
Prisms Flashcards
Twenty concise cards on prism anatomy, surface area, volume, cubes, removed regions, density, units, boxes, and tanks.
Current card1 / 20
Session progress0 of 20 studied
Card 1 of 20. Answer hidden.
Card 2 of 20
EasyStudy card 2
Prompt
What is prism height?
Answer
The perpendicular distance between the two base planes.
Card 3 of 20
EasyStudy card 3
Prompt
What is the volume formula for a prism?
Answer
\(V=Bh\), where B is base area.
Card 4 of 20
EasyStudy card 4
Prompt
What is the lateral-area formula for a right prism?
Answer
\(LA=Ph\), where P is base perimeter.
Card 5 of 20
EasyStudy card 5
Prompt
What is total surface area for a closed right prism?
Answer
\(TA=Ph+2B\).
Card 6 of 20
EasyStudy card 6
Prompt
What is cube volume?
Answer
\(V=s^3\).
Card 7 of 20
EasyStudy card 7
Prompt
What is cube surface area?
Answer
\(SA=6s^2\).
Card 8 of 20
MediumStudy card 8
Prompt
Which prism input uses perimeter: volume or lateral area?
Answer
Lateral area uses perimeter; volume uses base area.
Card 9 of 20
MediumStudy card 9
Prompt
Why can triangle altitude differ from prism height?
Answer
Triangle altitude lies in the base face; prism height runs between the congruent bases.
Card 10 of 20
MediumStudy card 10
Prompt
What units belong on prism volume?
Answer
Cubic units, such as cm³.
Card 11 of 20
MediumStudy card 11
Prompt
What units belong on prism surface area?
Answer
Square units, such as cm².
Card 12 of 20
MediumStudy card 12
Prompt
How is a hole through a block handled for volume?
Answer
Subtract the hole's full three-dimensional volume from the outer volume.
Card 13 of 20
MediumStudy card 13
Prompt
How do you find mass from density and volume?
Answer
\(m=DV\), after matching volume units.
Card 14 of 20
MediumStudy card 14
Prompt
If 1 ft = 12 in, how many cubic inches are in 1 ft³?
Answer
\(12^3=1728\) cubic inches.
Card 15 of 20
MediumStudy card 15
Prompt
For an open-top box cut by x, what is the box height?
Answer
x, the side length of each removed corner square.
Card 16 of 20
MediumStudy card 16
Prompt
Why do open-top base dimensions use L−2x and W−2x?
Answer
A cut of width x is removed from both ends of each dimension.
Card 17 of 20
HardStudy card 17
Prompt
A cube has volume 512. What is its positive edge?
Answer
8, because \(8^3=512\).
Card 18 of 20
HardStudy card 18
Prompt
How is water depth found in a rectangular tank?
Answer
Divide water volume by tank base area.
Card 19 of 20
HardStudy card 19
Prompt
A prism has B=18 and h=7. What is its volume?
Answer
126 cubic units.
Card 20 of 20
HardStudy card 20
Prompt
What is the best first step in a prism problem?
Answer
Choose and identify the base shape before selecting B, P, and h.
Deck complete
You rated every card. Revisit difficult cards or shuffle for another pass.
Keyboard: Space reveals, left/right arrows navigate, 1–4 rate, and S shuffles.