SOLVING SIMPLE CUBIC EQUATIONS WORKSHEET

Solve for x :

Problem 1 :

x³ = 64

Solution

Problem 2 :

x³ - 27 = 0

Solution

Problem 3 :

x³ + 216 = 0

Solution

Problem 4 :

x³ = 0

Solution

Problem 5 :

x³ = -125

Solution

Problem 6 :

x³ + 8 = 0

Solution

Problem 7 :

x³ - 1 = 0

Solution

Problem 8 :

x³ = -1000000

Solution

Problem 9 :

x³ = 512

Solution

Problem 10:

x³ + 1 = 0

Solution

Problem 1 :

Three cubes are joined end to end forming a cuboid. If side of a cube is 2 cm, find the dimensions of the cuboid thus obtained.

Solution

Problem 2 :

Find the lateral surface area of a cube, if its diagonal is √6 cm.

Solution

Problem 3 :

Three cubes of metal whose edges are in the ratio 3 : 4 : 5 are melted down into a single cube whose diagonal is 12√3 cm. find the edges of the three cubes.

Solution

Problem 4 :

Volume of a cube is 5832 m³. Find the cost of painting its total surface area at the rate of $3.50 per m².

Solution

Problem 5 :

The cube has a surface area of 216 dm². Calculate:

a)   The area of one wall,

b)   Edge length,

c)   Cube volume.

Solution 

Problem 1 :

Find the value of following cube roots:

x = ∛(27 × 2744)

Solution

Problem 2 :

Evaluate 

Solution

Problem 3 :

Two numbers 4x and 5x are such that sum of their cubes is 189. Find x.

Solution

Problem 4 :

The volume of a cube is 5832 m³, find the length of the side.

Solution

Problem 5 :

Three numbers are in the ratio  3 : 4 : 5. If the sum of their cubes -1728, find the three numbers.

Solution

Problem 6 :

Check whether 648 is a perfect cube or not.

Solution

Problem 7 :

Three numbers are to one another as 2:3:4. The sum of their cubes is 33957. Find the numbers.

Solution

Problem 8 :

Solution

Problem 9 :

If y = 5, then what is the value of 10y√(y³ - y²) ?

Solution

Problem 10 :