Volume, Surface Area, and Cross-Sections
Flashcard
•
Mathematics
•
7th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the formula for the volume of a rectangular prism?
Back
The volume (V) of a rectangular prism is calculated using the formula: V = length × width × height.
2.
FLASHCARD QUESTION
Front
What is the formula for the surface area of a rectangular prism?
Back
The surface area (SA) of a rectangular prism is calculated using the formula: SA = 2(length × width + length × height + width × height).
3.
FLASHCARD QUESTION
Front
What shape does the vertical cross-section of a triangular prism make?
Back
The vertical cross-section of a triangular prism makes a triangle.
4.
FLASHCARD QUESTION
Front
How do you find the volume of a triangular prism?
Back
The volume (V) of a triangular prism is calculated using the formula: V = (1/2 × base × height of triangle) × length of prism.
5.
FLASHCARD QUESTION
Front
What is a cross-section?
Back
A cross-section is the intersection of a solid object with a plane, revealing a two-dimensional shape.
6.
FLASHCARD QUESTION
Front
What is the relationship between volume and surface area?
Back
Volume measures the amount of space inside a solid, while surface area measures the total area of its outer surfaces.
7.
FLASHCARD QUESTION
Front
If the volume of a rectangular prism is 240 cm³ and the base area is 60 cm², what is the height?
Back
Height = Volume / Base Area = 240 cm³ / 60 cm² = 4 cm.
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