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.
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See sample questions for grade 11
A solid has 8 faces, 12 edges, and 6 vertices. What is the name of this solid?
Describe the difference between a prism and a pyramid.
Which formula is used to calculate the volume of a sphere?
Explain why a sphere is not considered a polyhedron.
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 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 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)
Which of the following is a property of all prisms?
(1) All faces are rectangles
(2) The two bases are congruent and parallel
(3) All edges are equal
(4) All faces are curved
Which of the following is NOT a polyhedron?
(1) Cube
(2) Sphere
(3) Tetrahedron
(4) Prism
Which of the following is NOT a property of a regular polyhedron?
(1) All faces are congruent regular polygons
(2) All vertices have the same number of faces meeting
(3) All edges are of different lengths
(4) All angles are equal
Which of the following is the correct relationship for Euler’s formula for polyhedra?
(1) F + V = E + 2
(2) F + E = V + 2
(3) F + V = E - 2
(4) F + V = E + 1
Fill in the blank: The lateral surface area of a right circular cylinder is ______.
Fill in the blank: The number of faces, vertices, and edges of a rectangular prism are ____, ____, and ____ respectively.
Fill in the blank: The sum of the number of faces and vertices of a cube is ______.
Fill in the blank: The volume of a pyramid is ______ times the volume of a prism with the same base area and height.
True or False: All faces of a regular dodecahedron are regular pentagons.
True or False: The cross-section of a sphere by a plane is always a circle.
True or False: The lateral surface area of a cylinder does not include the area of its bases.
True or False: The net of a cube consists of six congruent squares.
