Geometry - practice problems - page 6 of 162
Number of problems found: 3238
- A piece 7
A piece of dry ice is in the shape of a cube with edge lengths of 7cm. Find the surface area of the dry ice. - The angles 6
If the angles of a triangle are in the ratio 2 : 3 : 4. Find the value of each angle. - The endpoints
The endpoints of a segment are (-6,1) and (10,11). What are the coordinates of its midpoint? - A frustum
A frustum of a pyramid consists of a square base of length 10 cm and a top square of length 7 cm. The height of the frustum is 6 cm. Calculate the surface area and volume. - Slant height 3
The frustum of a right circular cone has the diameters of base 10 cm of top 6 cm and a height of 5 cm. Find the slant height. - Two similar 2
Two similar polygons have corresponding sides 15 inches and 6 inches. If the area of the first is 2700 square inches, what is the area of the second? - A conical
A conical tent can accommodate 11 people. Each person needs 4 m² of space on the ground and 20 m³ of air to breathe. Find the height of the tent. - The frustum A frustum of a pyramid is 4 cm at the top and 7 cm at the bottom square, and it's 6 cm high. Calculate the volume of the frustum.
- The speed 3
The speed of a boat in still water is 10 km/h. If the boat goes 37.5 km upstream in 5 h, find the speed of the stream. - A triangular prism
Find the number of faces, edges, and vertices of a triangular prism. - Spherical sector - parameters
Find the volume and surface area of spherical sector whose base has an altitude of 8cm. Drawn on a sphere whose diameter is 36 cm. - The cuboid 2
If the areas of three adjacent faces of a cuboid are 6,10,22 respectively then find the volume of the cuboid. - Perfect square or cube
Would you classify 324 as a perfect square, perfect cube, both, or neither? ... - Surface = volume
If the volume and the surface area of a sphere are numerically the same then find its radius. - Two points
M and N are two points on the X-axis and Y-axis, respectively. Point P (3, 2) divides the line segment MN in a ratio of 2:3. Find: (i) the coordinates of M and N (ii) slope of the line MN. - Ones cube Find the volume of a cube whose total surface area is 6 m².
- RST triangle
Find out if it is possible to construct the given triangle and according to which theorem: RS = 2.5 cm ST = 7 cm TR = 4.5 cm - A cone 4
A cone with a radius of 10 cm is divided into two parts by drawing a plane through the midpoint of its axis parallel to its base. Compare the volumes of the two parts. - The vertices
The vertices of a triangle are A (-1,3), B (1,-1), and C (5, 1). Find the length of the median through the vertex C. - The coordinates 4 The coordinates of the vertices of ∆ABC are respectively (-4, -2), (6, 2) and (4, 6). Find the centroid G of ∆ABC.
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