Cube practice problems - page 24 of 28
Number of problems found: 555
- Identical 81642
What is the largest surface area of a square glued together from 12 identical cubes with an edge length of 1 cm?
- Quadrangular block
The surface of the quadrangular block is 3.4 dm². The edges of the block are 8 cm and 10 cm long. Calculate the volume of the block.
- Equilateral cylinder
The equilateral cylinder (height = base diameter; h = 2r) has a V = 178 cm³ volume. Calculate the surface area of the cylinder.
- 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.
- Surrounded 8283
The cube has an edge length of 5 cm. This cube surrounds a rotating cylinder. Find the surface area of the shell and the volume of the cylinder.
- Diagonal of a cube
Calculate the volume of a cube with a wall diagonal of u = 20 cm.
- Centimeter 8324
Calculate the radius of a sphere with a volume of 6.2 dm3, round to the nearest centimeter.
- Wrapping box
Will you need more paper to wrap a 2.3dm cube box or a 12 cm, 3 dm, and 8 cm cube-shaped box?
- Thousand balls
We must create a thousand balls from a sphere with a diameter of 1 m. What will be their radius?
- Chemical parison
The blown parison (with the shape of a sphere) has a volume of 1.5 liters. What is its surface?
- 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 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
- Diameter 21173
The water ball has a volume of 32,500 m³. How big is its diameter?
- Cube into sphere
The cube has brushed a sphere as large as possible. Determine how much percent the waste was.
- Cube into cylinder
If we dip a wooden cube into a barrel with a 40cm radius, the water will rise 10 cm. What is the size of the cube edge?
- Surface area of cylinder
Determine the lateral surface of the rotary cylinder, which is a circumscribed cube with a 5 cm edge length.
- Surface of the cylinder
Calculate the cylinder's surface area when its volume is 45 l, and the base's perimeter is three times the height.
- Cube-shaped 81931
A ball with a diameter of 10 cm is in a cube-shaped box with an edge of 10 cm. What percentage of the box does the ball fill?
- Cubes
One cube is an inscribed sphere, and the other one is described. Calculate the difference of volumes of cubes if the difference of surfaces in 231 cm².
- 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.
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