Volume

Question 1

What is the formula for the volume of a cube?

Answer 1

V = s^3, where s is the length of a side.

Question 2

True or False: The volume of a cylinder is calculated using the formula V = πr^2h.

Answer 2

True.

Question 3

Fill in the blank: The volume of a sphere is given by the formula V = ___.

Answer 3

4/3πr^3.

Question 4

What is the formula to calculate the volume of a rectangular prism?

Answer 4

V = lwh, where l is length, w is width, and h is height.

Question 5

Multiple Choice: Which of the following is the correct formula for the volume of a cone? A) V = 1/3πr^2h B) V = πr^2h C) V = 2/3πr^3

Answer 5

A) V = 1/3πr^2h.

Question 6

What does the variable ‘r’ represent in the volume formulas for spheres and cylinders?

Answer 6

The radius.

Question 7

True or False: The volume of a pyramid is calculated with the formula V = 1/3Bh, where B is the area of the base.

Answer 7

True.

Question 8

What is the volume of a hemisphere?

Answer 8

V = 2/3πr^3.

Question 9

Fill in the blank: The volume of an ellipsoid is calculated using the formula V = ___.

Answer 9

4/3πabc, where a, b, and c are the semi-principal axes.

Question 10

Multiple Choice: Which shape has the volume formula V = lwh? A) Sphere B) Cylinder C) Rectangular Prism

Answer 10

C) Rectangular Prism.