Solid geometry, stereometry - page 65 of 117
Number of problems found: 2337
- 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.
- Hexagonal pyramid
Please calculate the height of a regular hexagonal pyramid with a base edge of 5cm and a wall height of w = 20cm. Please sketch a picture.
- Water in aquarium
The aquarium cuboid shape with a length of 25 cm and a width of 30 cm is 9 liters of water. Calculate the areas which are wetted with water.
- The cylinder base
The cylinder with a base of 8 dm² has a volume of 120 liters. From a cylinder filled with water, 40 liters of water were removed. At what height from the bottom /with precision to dm/ is the water level?
- 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.
- Jar
The jar has the shape of a cylinder. Height of jar h = 8 cm, and jar diameter D is 8 cm. After rolling the pot, some water spilled, and the water level accurately reached half of the base. The water level makes a parabola with the same diameter. How to ca
- Triangular pyramid
A perpendicular regular triangular pyramid is given: base side a = 5 cm, height v = 8 cm, volume V = 28.8 cm³. What is its area (surface area)?
- The pipeline
How long is the pipe with an outside diameter of 1.4 m if his coloring consumed 35 kg of color? 1 kg of color coverage is 9 m².
- Equilateral 82136
A three-sided prism with a base in the shape of an equilateral triangle has a volume of 370 dm³. What is the volume of its base if it is 50 cm high?
- Calculate 71364
Calculate the surface of a block whose two sides measure 12.8 cm and 162 mm and have a volume of 3,214.08 cm3
- Diagonal 8192
Find the volume and surface of a cube if you know the length of its body diagonal u = 216 cm.
- Quadrilateral 8120
If the pyramid's height is 4 cm and the base area is 16 cm2, include the side edge length of a regular quadrilateral pyramid.
- Diamond base
The prism with a diamond base has 24 cm and 20 cm long base diagonals. Calculate the height of a prism with a volume of 9.6 dm³ (cubic decimetres)
- Decimetres 4163
Determine the length of the body and wall diagonals of the cube, the volume of which is equal to 0.343 decimetres. Also, calculate its surface.
- Insulate house
The property owner wants to insulate his house. The house has these dimensions of 12, and 12 m is 15 m high. The windows have six dimensions, 170 and 150 cm. Entrance doors are 250 and 170 cm in size. How many square meters of polystyrene does he need?
- Two vases
Michaela has two vases in her collection. The first vase has the shape of a cone with a base diameter of d = 20 cm; the second vase has the shape of a truncated cone with a lower base of d1 = 25 cm and a diameter of the upper base d2 = 15 cm. Which vase c
- Centimeters 72534
Calculate the edge c and the surface S of a block if its volume is equal to 42 cubic centimeters, a = 6cm, b = 3.5cm, c =?
- Corresponding 67714
The quadrilateral prism has a volume of 720 cm³. Calculate the height of the prism if the base is a rhombus with a side 16 cm long and a corresponding height of 5 cm.
- Calculate 32133
The cube has an area of 486 dm². Calculate the length of its side, its volume, the length of the body, and wall diagonals.
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