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 11
A cone has a base radius of 3 cm and a height of 4 cm. Find its volume.
A cube has a diagonal of length 6√3 cm. What is the length of one side of the cube?
A cube has a surface area of 150 cm². What is the length of one side?
A hemisphere has a radius of 6 cm. What is its total surface area? (Use π = 3.14)
A right circular cone has a base area of 28 cm² and a height of 9 cm. Find its volume.
A right circular cylinder has a base radius of 5 cm and a height of 10 cm. Calculate its volume.
A right prism has a base area of 20 cm² and a height of 15 cm. What is its volume?
A solid has 8 faces, 12 edges, and 6 vertices. What is the name of this solid?
A solid metal sphere of radius 3 cm is melted and recast into a cylinder of height 4 cm. What is the radius of the cylinder? (Use π = 22/7)
A sphere has a radius of 7 cm. What is its surface area? (Use π = 22/7)
Describe the difference between a prism and a pyramid.
If the length, width, and height of a rectangular box are 8 cm, 5 cm, and 2 cm respectively, what is its volume?
If the slant height of a cone is 13 cm and the base radius is 5 cm, what is the height of the cone?
Which formula is used to calculate the volume of a sphere?
A frustum of a right circular cone has a lower base radius of 8 cm, an upper base radius of 4 cm, and a height of 6 cm. Calculate its volume. (Use π = 3.14)
A rectangular prism has a length of 8 cm, width of 6 cm, and height of 5 cm. If all dimensions are doubled, by what factor does the volume increase?
A regular tetrahedron has an edge length of 12 cm. Find its volume. (Give your answer in cm³, rounded to two decimal places.)
A right circular cone and a right circular cylinder have the same base radius and height. What is the ratio of their volumes?
A solid consists of a cylinder with a hemisphere attached to one of its bases. If the radius of both the cylinder and hemisphere is 5 cm and the height of the cylinder is 10 cm, calculate the total surface area of the solid (excluding the base at the bottom of the cylinder). Use π = 3.14.
A sphere is inscribed inside a cube. If the volume of the cube is 64 cm³, what is the volume of the sphere? (Use π = 3.14)
