Cube, cuboid, and sphere
Volumes of a cube and a cuboid are in a ratio of 3:2. Volumes of a sphere and cuboid are in a ratio of 1:3. At what rate are the volumes of a cube, cuboid, and sphere?
Correct answer:
Tips for related online calculators
Need help calculating sum, simplifying, or multiplying fractions? Try our fraction calculator.
Check out our ratio calculator.
Tip: Our volume units converter will help you convert volume units.
Check out our ratio calculator.
Tip: Our volume units converter will help you convert volume units.
You need to know the following knowledge to solve this word math problem:
Units of physical quantities:
Grade of the word problem:
We encourage you to watch this tutorial video on this math problem: video1
Related math problems and questions:
- Volume of sphere
How many times does the volume of a sphere increase if its radius increases two times? - Sphere in cone
A sphere is inscribed in the cone (the intersection of their boundaries consists of a circle and one point). The ratio of the ball's surface and the area of the base is 4:3. A plane passing through the axis of a cone cuts the cone in an isosceles triangle - Volume ratio
Calculate the volume ratio of balls circumscribed (diameter r) and inscribed (diameter ϱ) into an equilateral rotating cone. - Twice of radius
How many times does the surface of a sphere decrease if we reduce its radius twice? - Sphere radius
The radius of the sphere we reduce by 1/3 of the original radius. How much percent does the volume and surface of the sphere change? - Equilateral cylinder
A sphere is inserted into the rotating equilateral cylinder (touching the bases and the shell). Prove that the cylinder has both a volume and a surface half larger than an inscribed sphere. - Inscribed sphere
How much % of the volume of the cube whose edge is 6 meters long is a volume of a sphere inscribed in that cube? - Balls
Ping pong balls have a diameter of approximately 4 cm. It is sold in boxes of 9 pieces: each box has a cuboid shape with a square base. The balls touch the walls of the box. Calculate what portion of the internal volume of the box is filled with balls. - A park on map
A park has an area of ⅙ mi². On a map, the park has an area of 1 ¼ cm². On the map, how many square centimeters represent 1 mi²? - The number 10
The number of sides of two regular polygons differ by 1 the sum of the interior angles of the polygons is in the ratio of 3:2 calculate the number of sides of each polygon. - A teacher 3
A teacher gives pens and pencils to elementary students at an equal rate, each classroom. Pencils; Pens 18 ; 72 29 ; A 35 ; 140 B ; 168 Determine the missing value for the letter B. - The proportion
The proportion's first, second, and third terms are 4, 20, and 13. Find the fourth term. - Charter flying service
Henry and Wayne operate a charter flying service out of Breckenridge, which has an elevation of 9,600 feet above sea level. Henry has two flights scheduled for the day. He is taking a couple from Breckenridge to Hamilton, which has a 35% elevation drop. A - Sides ratio and angles
In triangle ABC, you know the ratio of side lengths a:b:c=3:4:6. Calculate the angle sizes of triangle ABC. - Julia - recipe
Julia is using 60 g of butter in a recipe. She needs to use a butter-to-sugar ratio of 6:5. How much sugar should she use? - A cone 4
A cone with a radius of 10 cm is divided into two parts by drawing a plane through the midpoint of its axis parallel to its base. Compare the volumes of the two parts. - The ratio 19
The ratio of males to females in a school is 1:2. If there are 24 pupils, find the number of males.