Fractions + third power - practice problems

Number of problems found: 12

Choose 2
Choose an equivalent expression for three-fourths raised to the fourth power times three-fourths raised to the third power, all raised to the second power.
Much 37741
How much is half the half the cube half?
Expression with powers
Which expression is equivalent to 2.1 raised to the fifth power divided by 0.9 raised to the fourth power, all raised to the third power?
Simplest form
Find the simplest form of the following expression: 3 to the 2nd power - 1/4 to the 2nd power.
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
Volume of ball
Find the volume of a volleyball with a radius of 4 1/2 decimeters. Use 22/7 for π
Diameter 21173
The water ball has a volume of 32,500m². How big is its diameter?
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?
Balls
Three metal balls with volumes V₁=81 cm³ V₂=96 cm³ and V₃=28 cm³ melted into one ball. Determine its surface area.
Equilateral cylinder
Equilateral cylinder (height = base diameter; h = 2r) has a volume of V = 272 cm³ . Calculate the surface area of the cylinder.
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
Seawater
Seawater density is 1025 kg/m³, and ice is 920 kg/m³. Eight liters of seawater froze and created a cube. Calculate the size of the cube edge.

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