
Understanding 3D Shapes and Volume Calculation

Interactive Video
•
Mathematics, Science
•
10th - 12th Grade
•
Hard

Amelia Wright
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the base of the three-dimensional shape described in the video?
A rectangle with length F(x) and width G(x)
A square with side length G(x)
A circle with radius defined by F(x)
The region between the graphs of Y = F(x) and Y = G(x)
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What type of triangles are the cross-sections of the shape?
Obtuse triangles
Isosceles right triangles
Scalene triangles
Equilateral triangles
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of visualizing the shape from above?
To measure the shape's height
To see the color of the shape
To understand the shape's volume
To better visualize the shape's structure
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the small depth used in the volume approximation called?
dt
dx
dz
dy
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the height of the cross-sectional triangle defined?
F(x) * G(x)
F(x) - G(x)
F(x) + G(x)
G(x) - F(x)
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the relationship between the sides of a 45-45-90 triangle?
The sides are equal to the hypotenuse
The sides are the square root of two over two times the hypotenuse
The sides are half the hypotenuse
The sides are the square root of two times the hypotenuse
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the area of the isosceles right triangle cross-section?
H squared
One-half H squared
H cubed
One-fourth H squared
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