Geometry - math word problems - page 83 of 163

Number of problems found: 3251

Triangular pyramid
Calculate the volume and surface area of a regular triangular pyramid with a height equal to the base edge, which is 10 cm long.
Rotatable tower
The rotatable tower situated in the city center has the ground shape of a regular polygon. If the tower is rotated by 18° around its centerpiece, it looks from the side same. Your task is to calculate at least how many vertices can have a ground plan view
Building blocks
The children's kit consists of blocks and cubes. Each cuboid has dimensions of 6 cm, 5 cm, and 4 cm, and each cube has an edge 5 cm long. Which of these building blocks has the larger surface area, and by how many square centimeters?
Cuboid cone volume
We used the same amount of paint to paint a cuboid with dimensions of 10 cm, 15 cm, and 3 cm to paint the shell of a cone whose radius is 8 cm. How tall is this cone? Calculate its volume in liters.
The circumference 3
The circumference of a cylindrical water tank is 62.8m. When it is 4/5 full of water, it holds 125.6 hectoliters. Find the depth of the tank.
Truncated pyramid
The truncated regular quadrilateral pyramid has a volume of 74 cm³, a height v = 6 cm, and an area of the lower base 15 cm² greater than the upper base's area. Calculate the area of the upper base.
Pool water height
The pool has dimensions of 4.8 m and 65 dm. To what height is water filled in a pool if there is 1,029.6 hl of water in it?
Rotating cone
If the side of the rotating cone is 150 mm long and the circumference of the base is 43.96 cm, find its surface and volume.
Truncated cone 6
Calculate the volume of the truncated cone whose bases consist of an inscribed circle and a circle circumscribed to the opposite sides of the cube with the edge length a=1.
Two hemispheres
In a wooden hemisphere with a radius r = 1, the carpenter created a hemispherical depression with a radius r/2. The bases of both hemispheres lie in the same plane. What is the surface of the created body (including the surface of the depression)?
Cone measurements
Calculate the volume and surface of the rotating cone with the base radius r = 4.6dm and the height v = 230mm.
Cone volume
The area of the rotating cone shell is 240 cm², and the area of its base is 160 cm². Calculate the volume of this cone.
Cone container
The Rotary cone-shaped container has a volume of 1000 cubic cm and a height of 12 cm. Calculate how much metal we need to make this package.
Stadium
A domed stadium is shaped like a spherical segment with a base radius of 150 m. The dome must contain a volume of 3500000 m³. Determine the dome's height at its center to the nearest tenth of a meter.
Karim
Karim uses a photocopier to enlarge the triangle PQR diagram by 150%. a) Write the ratio of the length of P' Q' to the length of PQ. b) Is the ratio of the length P 'R' to the length PR equal to the ratio of the length P 'Q' to the length PQ? c) Use your
A cliff
A line from the top of a cliff to the ground passes just over the top of a pole 5 ft high. It meets the ground at a point 8 ft from the base of the pole. The point is 93 ft from the base of the cliff. How high is the cliff?
The edge of a cube
How much does the edge of a cube of 54.9 cm³ measure?
Diameter - tent
The cone-shaped tent is 3 meters high. The diameter of its base is 3.2 m. How many m³ (cubic meters) of air are in the tent?
Recommended size
The recommended room size is 90 cubic meters. How many square meters is it? (room height is 2.5 m)
The mesh
How many m² of mesh is used for fencing a square-shaped cage without a base with dimensions of 25m, 18m, 2.5m?

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