CUBE ROOT OF RATIONAL NUMBER WORKSHEET

Evaluate the following :

Solution

Problem 11 :

∛(0.027/0.008) ÷ √(0.09/0.04) - 1

Solution

Problem 12 :

Find the volume of a cube whose surface area is 150 m²

Solution

Problem 13 :

Evaluate the cube root of 686 / 1024

Solution

Problem 14 :

What is the smallest number by which 4608 may be multiplied so that the product is perfect cube?

Solution

Problem 15 :

Find the surface area of a cube whose volume is 343 m³

Solution

Evaluate each of the following :

Solution

Problem 10 :

The volume of a cube-shaped compost bin is 27 cubic feet. What is the edge length of the compost bin?

Solution

Problem 11 :

The volume of a cube of ice for an ice sculpture is 64,000 cubic inches.

a. What is the edge length of the cube of ice?

b. What is the surface area of the cube of ice?

Solution

Problem 12 :

Solve the equation.

a) (3x + 4)³ = 2197

b) (8x³ − 9)³ = 5832

c) ((5x − 16)³ − 4)³ = 216,000

Solution

Problem 13 :

You bake a dessert in the baking pan shown. You cut the dessert into cube-shaped pieces of equal size. Each piece has a volume of 8 cubic inches. How many pieces do you get from one pan? Justify your answer.

Solution

Problem 14 :

The formula for volume of a pyramid is V = (1/3)ℓwh. The pyramid has a volume of 972 cubic inches. What are the dimensions of the pyramid?

Solution

Problem 15 :

There are three numbers that are their own cube roots. What are the numbers?

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 :

Solution

Problem 11 :

Divide the number 26244 by the smallest number so that the quotient is a perfect cube, so he smallest number is :

a) 4     b) 6      c) 36      d) 16

Solution

Problem 12 :

The perfect cube nearest to 2750 is :

a) 2749     b) 2747      c) 2744      d) 2754

Solution

Problem 13 :

Three numbers are in the ratio 1 : 2 : 3. The sum of their cubes is 98784. Find the numbers.

Solution

Problem 14 :

Three numbers are in the ratio 2 : 3 : 4. The sum of their cubes is 33957. Find the numbers.

Solution

Problem 15 :

Find the smallest number to be multiplied with 3600 will make the product perfect cube. Further find the cube root of the product.

Solution