Class 10 Surface Area and Volume Quiz

Choose a study mode

Play Quiz

Study Flashcards

Spaced Repetition

Chat to Lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

What is the volume of a sphere if its radius is tripled?

$81 ext{π}r^3$ (correct)
$64 ext{π}r^3$
$36 ext{π}r^3$
$27 ext{π}r^3$

What is the total surface area of a cube with edge length 4 cm?

$64$ sq.cm
$96$ sq.cm (correct)
$16$ sq.cm
$48$ sq.cm

What is the ratio of the volumes of two spheres if one has twice the radius of the other?

2:1
1:2
1:4
4:1 (correct)

If the length, width, and height of a cuboid are tripled, by what factor does its total surface area increase?

<p>9 (B)</p> Signup and view all the answers

What is the volume of a cone if its radius is doubled and height is halved?

<p>$rac{1}{4} ext{π}r^2h$ (C)</p> Signup and view all the answers

Flashcards

Volume of a sphere after tripling radius

If the radius of a sphere is tripled, its volume increases by a factor of 81.

Surface Area of a cube

The total surface area of a cube is the sum of the areas of all its six faces.

Volume ratio of two spheres

The ratio of the volumes of two spheres is the cube of the ratio of their radii.

Surface area of a cuboid after tripling dimensions

If the dimensions of a cuboid are all tripled, its total surface area increases by a factor of 9.

Signup and view all the flashcards

Volume of a cone after doubling radius and halving height

When the radius of a cone is doubled and its height is halved, its volume remains the same.

Signup and view all the flashcards

Study Notes

Volume of a Sphere

If the radius of a sphere is tripled, its volume increases by a factor of 27 (3^3).

Surface Area of a Cube

The total surface area of a cube with an edge length of 4 cm is 6 × (4 cm)^2 = 96 cm^2.

Ratio of Volumes of Two Spheres

If one sphere has twice the radius of another, its volume is 8 times larger than the smaller sphere (2^3).

Surface Area of a Cuboid

If the length, width, and height of a cuboid are tripled, its total surface area increases by a factor of 9 (3^2).

Volume of a Cone

If the radius of a cone is doubled and its height is halved, its volume remains unchanged.

Studying That Suits You

Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

Description

Test your knowledge of surface area and volume with this quiz, featuring questions and answers prepared by subject experts. Perfect for Class 10 students looking to practice and prepare for exams. Access a variety of problems related to surface area and volumes to enhance your understanding of these concepts.