

Calculus of Cube Properties
Interactive Video
•
Mathematics, Science
•
9th - 12th Grade
•
Practice Problem
•
Hard
Jackson Turner
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the rate of change of the volume of a cube when its side length is 5 meters and the edges are increasing at 10 meters per hour?
500 cubic meters per hour
750 cubic meters per hour
1000 cubic meters per hour
1250 cubic meters per hour
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which formula represents the volume of a cube in terms of its side length x?
x^2
2x^3
x^3
3x^2
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you calculate the derivative of the volume of a cube with respect to time?
x * dx/dt
3x^2 * dx/dt
x^2 * dx/dt
2x * dx/dt
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the rate of change of the surface area of a cube when its edge length is 8 meters?
480 square meters per hour
720 square meters per hour
1200 square meters per hour
960 square meters per hour
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the surface area of a cube related to its side length x?
4x^2
7x^2
6x^2
5x^2
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of the surface area of a cube with respect to time?
8x * dx/dt
10x * dx/dt
6x * dx/dt
12x * dx/dt
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the rate of change of the diagonal length of a cube when its edge length is 12 meters?
15√3 meters per hour
10√3 meters per hour
5√3 meters per hour
20√3 meters per hour
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