# Expression of a variable from the formula + third power - practice problems

#### Number of problems found: 68

- Two pots

Two similar pots have 16 cm and 10 cm heights if the smaller pot holds 0,75 l. Find the capacity of the larger pot - World's

World's biggest indoor aquarium. In its enormous tank with the capacity represented by the following polynomial V=4x³+43x²+63x The aquarium is rectangular prism shape. Find the following: 1. If the aquarium's height is x, then find the area of the base (B - 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 - Jointly and cube power

If y varies jointly as x and the cube of z and y=16 when x=4 and z=2, find an equation representing this relationship. a. y=xz b. y = 2xz³ c.y = 2kx/z³ d.y = xz³/2 - Seventh term

The first term of a geometric sequence is nine, and the third term is 1296. Find the seventh term. - Mr Duma

Mr. Duma recently inherited a rectangular plot, part of the estate left by his late father. The plot with the following dimensions: Length=2x+1;Width=x-1. Determine the formula, in terms of x, that best describes the area of the rectangular plot. He has p - Calculate 45991

Calculate the radius of a sphere with the same volume as a cone with a radius of 5cm and a height of 7cm. - Liters 44041

What is the length of the edge of a cube with a volume of V = 1728 liters? - The length 2

The length of a rectangle is 12y² – 15y + 8, and the width is 7y – 11. Find the area of the rectangle. - Three cubes

Two cube-shaped boxes with edges a = 70 cm; b = 90 cm must be replaced by one cube-shaped box. What will be its edge? - 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? - Cube V2S

The volume of the cube is 27 dm cubic. Calculate the surface of the cube. - Millimeter 30041

Calculate the length of the wall diagonal of a cube with a volume of 7.40 dm cubic. Express the result to the nearest millimeter. - Ball-shaped 28481

How many m² of material is needed to make a ball-shaped balloon with a volume of 950 m³? - Derivative problem

The sum of two numbers is 12. Find these numbers if: a) The sum of their third powers is minimal. b) The product of one with the cube of the other is maximal. c) Both are positive, and the product of one with the other power of the other is maximal. - 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? - Cube surfce2volume

Calculate the volume of the cube if its surface is 150 cm². - Spherical segment

Calculate the volume of a spherical segment 18 cm high. The diameter of the lower base is 80 cm, and the upper base is 60 cm. - 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? - Diameter 21173

The water ball has a volume of 32,500m². How big is its diameter?

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