Cube practice problems - page 24 of 29
Number of problems found: 566
- Sphere volume formula
If V=4/3 π r³, find the value of V when r = 7, the value of r when V=113 1/7 - Eight
Eight small Christmas balls with a radius of 1 cm have the same volume as one large Christmas ball. What has a bigger surface: eight small balls or one big ball? - The height of prism
The base of a vertical prism is a right triangle with legs 30 cm and 40 cm long. The prism has the same volume as a cube with an edge length of 3 dm. Find the height of the prism in centimetres. - Diagonal of a cube
Calculate the volume of a cube with a face diagonal of u = 20 cm. - Cutting the prism
A prism with a square base with an area of 1 cm² and a height of 3 cm was cut from a cube with an edge length of 3 cm. What is the body's surface formed from the cube after cutting the prism? - Circumscribed - sphere
A cube with a volume of 4096 cm³ is described and inscribed by a sphere. Calculate how many times the volume of the circumscribed sphere is greater than the inscribed sphere. - Ball diameter density
What is the diameter of the ball (for men) if it weighs 7,250 g and ρ = 7.8 g / cm³ - Equilateral cylinder
The equilateral cylinder (height = base diameter; h = 2r) has a V = 178 cm³ volume. Calculate the surface area of the cylinder. - Cube surface area What is the largest surface area of a square glued together from 12 identical cubes with an edge length of 1 cm?
- Cube edge
The block volume is 512 dm³. How long is the edge of a cube with the same volume as a block? - Special body
Above each wall of a cube with an edge a = 30 cm, we construct a regular quadrilateral pyramid with a height of 15 cm. Find the volume of the resulting body. - Pyramid stone weight
The largest Egyptian pyramid has the shape of a regular four-sided pyramid with a base edge of approximately 227 meters and a height of about 140 meters. How many tons of stone did the workers transport to build it? One cube of stone weighs 2500 kg and ne - Pyramid cut
We cut the regular square pyramid with a parallel plane to the two parts (see figure). The volume of the smaller pyramid is 20% of the volume of the original one. The bottom of the base of the smaller pyramid has an area of 10 cm². Find the area of the or - Sphere radius calculation
Calculate the radius of a sphere with a volume of 6.2 dm3, round to the nearest centimeter. - Cube in ball
The cube is inscribed into the sphere of radius 6 dm. How many percent is the volume of the cube of the volume of the sphere? - Wrapping box
Will you need more paper to wrap a 2.3 dm cube box or a box measuring 12 cm × 3 dm × 8 cm? - Cube into sphere
The cube has brushed a sphere as large as possible. Determine how much percent the waste was. - Radius of a sphere
We turned a sphere with the largest possible radius from a cube with an edge length of 8 cm. Calculate the volume of the cube, the ball, and the percentage of waste when turning. - Cube surface
Calculate the cube's surface with the edges of the length: 2 half cm, 3.5 cm; it is a quarter of a cm. - Cube into cylinder
If we dip a wooden cube into a barrel with a 40 cm radius, the water will rise 10 cm. What is the size of the cube edge?
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