Geometry - practice problems - page 6 of 165
Number of problems found: 3289
- Spire - prism
Calculate the surface of a spire with a base in the shape of a rectangle with dimensions of 5 m and 6 m. The height of the spire is 7 m. - A boat 2
A boat can travel with a speed of 13 km/h in still water.If the speed speed of stream is 4 km/h, then find the time taken 1) to go 68 km downstream . 2) to go 63 km upstream . - The volume 9 The volume of a large tank is 210 yd³. It is 2 2/5 yd wide and 2 4/5 yd high. What is the length of the tank?
- A piece 7
A piece of dry ice is in the shape of a cube with edge lengths of 7 cm. Find the surface area of the dry ice. - A cone 3
A cone has a diameter of x cm and a slant height of y cm. A square pyramid has a base side length of x cm and a slant height of y cm. Which has the greater surface area? Explain. - 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. - 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? - Midpoint between conjugate
Find the midpoint between two roots: 2+3.464i and 2 - 3.464i - A triangular prism
Find the number of faces, edges, and vertices of a triangular prism. - 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.
- 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. - 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 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. - Spherical sector - parameters
Find the volume and surface area of a spherical sector whose base has a height of 8 cm, drawn on a sphere with a diameter of 36 cm. - Right triangular prism
A right triangular prism has a base of 6 cm and a base height of h cm. the triangle is a right triangle, and the prism's height is 10 cm. if the total surface area is 288 cm². What is the value of h? - 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. - 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. - Surface = volume
If the volume and the surface area of a sphere are numerically equal, find its radius. - Ones cube Find the volume of a cube whose total surface area is 6 m².
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