subject

Three-Dimensional Shapes

Math ⇒ Geometry

Three-Dimensional Shapes starts at 6 and continues till grade 12. QuestionsToday has an evolving set of questions to continuously challenge students so that their knowledge grows in Three-Dimensional Shapes. How you perform is determined by your score and the time you take. When you play a quiz, your answers are evaluated in concept instead of actual words and definitions used.
See sample questions for grade 8
A cone has a base radius of 3 cm and a height of 4 cm. What is its volume? (Use π = 3.14)
A cone has a height of 12 cm and a base radius of 5 cm. What is its volume? (Use π = 3.14)
A cube has all sides of length 10 cm. What is its surface area?
A rectangular box has a length of 8 cm, width of 3 cm, and height of 2 cm. What is its volume?
Calculate the volume of a cube with side length 5 cm.
How many faces does a rectangular prism have?
How many faces, edges, and vertices does a triangular pyramid (tetrahedron) have?
If the base area of a prism is 20 cm² and its height is 10 cm, what is its volume?
If the diameter of a sphere is 10 cm, what is its radius?
If the height of a cylinder is doubled, but the radius remains the same, what happens to its volume?
If the radius of a sphere is 7 cm, what is its volume? (Use π = 22/7)
What is the formula for the volume of a rectangular prism?
Which formula is used to find the volume of a cylinder?
A prism has a base area of 18 cm² and a height of 7 cm. If the prism is filled with water and then poured into a cylinder with the same base area, what will be the height of the water in the cylinder?
A right circular cylinder has a radius of 6 cm and a height of 9 cm. Calculate its total surface area. (Use π = 3.14)
A solid has 8 faces, 12 vertices, and 18 edges. What is the name of this solid?
A sphere has a radius of 4 cm. Calculate its surface area. (Use π = 3.14)
A square pyramid has a base edge of 5 cm and a vertical height of 12 cm. Find its volume. (Use the formula: Volume = (1/3) × base area × height)
Describe the difference between a prism and a pyramid in terms of their faces and vertices.