Cube + third power - practice problems - page 6 of 7
Number of problems found: 123
- 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 - Cube edges
The cube has an edge of 4 cm. It has the same volume as a block, the base of which has an area of 32 cm². What height is the block? - 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? - Iron sphere
Iron sphere weights 100 kg and density ρ = 7600 kg/m³. Calculate the volume, surface, and diameter of the sphere.
- Centimeter 8324
Calculate the radius of a sphere with a volume of 6.2 dm3, round to the nearest centimeter. - Equilateral cylinder
The equilateral cylinder (height = base diameter; h = 2r) has a V = 272 cm³ volume. Calculate the surface area of the cylinder. - Diameter 21173
The water ball has a volume of 32,500 m³. How big is its diameter? - Ball-shaped 28481
How many square meters of material is needed to make a ball-shaped balloon with a volume of 950 m³? - 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
- 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? - Cube in ball
The cube is inscribed into the sphere of radius 181 dm. How many percent is the volume of the cube of the volume of the sphere? - Cylinder - area
The diameter of the cylinder is one-third the length of the height of the cylinder. Calculate the surface of the cylinder if its volume is 2 m³. - 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. - Balls
Three metal balls with volumes V1=81 cm3, V2=96 cm3, and V3=28 cm³ were melted into one ball. Determine its surface area.
- Block-shaped 7976
A block-shaped pool with a volume of 200m³ is to be built in the recreation area. Its length should be 4 times the width, while the price of 1 m² of the pool bottom is 2 times cheaper than 1 m² of the pool wall. What dimensions must the pool have to make - Funnel
The funnel has the shape of an equilateral cone. Calculate the surface wetted with water if we poured into the funnel 7.1 liters of water. - Cuboid edges in ratio
Cuboid edge lengths are in ratio 2:4:6. Calculate their lengths if you know that the cuboid volume is 24576 cm³. - Prism X
The prism with the edges of the lengths x cm, 2x cm, and 3x cm has a volume 29478 cm³. What is the area of the surface of the prism? - Equilateral cone
We pour so much water into a container with the shape of an equilateral cone, the base of which has a radius r = 6 cm, that one-third of the volume of the cone is filled. How high will the water reach if we turn the cone upside down?
Twenty identical steel balls were dropped into a cylindrical container of water standing on a horizontal surface to submerge them below the surface. At the same time, the water level rose by 4 mm. Determine the radius of one sphere if the diameter of the Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.
