# Square (second power, quadratic) + third power - practice problems

#### Number of problems found: 56

- Evaluate 26

Evaluate square root: √1³+2³+3³+4³= - Inspect 5

Inspect the sequence and complete the following statement: seq: 1, 4, 9, 16, 25, 36, 49 The first two numbers differ by a. The second and third numbers differ by b. The third and fourth numbers differ by c. The difference between any two successive number - 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 - 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 - Future value investment

Poseidon deposited 2,747 golden drachmas in a Mount Olympus college savings account to ensure Percy could attend college. It pays 0.04 (percent in decimal form) annual interest. After 11 years, he withdraws the money. How much more money would he have if - 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. - Cube-shaped box

The cube-shaped box is filled to the brim with 2 liters of milk. Calculate the edge and surface of the box. - Natural 39393

What is the sum of all natural numbers less than 100 that are the power of 4? - Much 37741

How much is half the half the cube half? - Granddaughter

In 2014, the sum of the ages of Meghan's aunt, her daughter, and her granddaughter was equal to 100 years. We know the age of each can be expressed as the power of two. In what year was the granddaughter born? - 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.

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