Third power - practice problems - page 2 of 9
Direction: Solve each problem carefully and show your solution in each item.Number of problems found: 164
- Created 68734
From how many cubes with a 4 cm edge can a cube with a 16 cm edge be created?
- Cube-shaped 65084
The cube-shaped container can hold precisely 8 cm³ of bath salt. How many cm³ of bath salt will fit in a cube-shaped container with an edge twice as long?
- Assembling 63964
Little Pavel was assembling building blocks (a cube is shaped like a cube). He wanted to build a big cube. However, he had 75 dice left, so he increased the edge by one die. Then he was missing 16 dice. How many cubes did he have in the kit?
- Five-digit 63424
How many five-digit numbers can we make from digits 2,3,4,6,7,9 if they can repeat with the digits?
- 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.
- Stationary 57031
Determine the distance of a stationary satellite from the Earth's surface.
- Perfect cube
Which of the following number is not a perfect cube? a. 64 b. 729 c. 800 d. 1331
- Height of a cube
What is the volume of a cube if the height is 5cm?
- The plot
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
- An architect 2
An architect is designing a house. He wants the bedroom to have the dimensions of 8 ft by 4 ft by 7 ft. The architect doubles all three dimensions to create the den. Does that mean the den will have double the volume of the bedroom? First, find the volume
- 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.
- Surface 45911
A large cube with an edge of length 3 is given. One small cube with a volume 27 times smaller than the volume of the large cube is glued to each of its faces. All the small cubes touch the big ones through the wall. What surface does this body have?
- 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?
- 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?
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