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Worksheet: Applications of Real Numbers

Q1:

Given that the dimensions of a rectangle are 5 7 + 7 2 cm and 5 7 7 2 cm, find the length of its perimeter.

Q2:

A cube-shaped container has a capacity of 5 1 2 𝑥 𝑦 9 2 7 . Determine the length of one of its sides.

  • A 8 𝑥 𝑦 3 2 7
  • B 5 1 2 𝑥 𝑦 3 9
  • C 1 7 0 𝑥 𝑦 3 9
  • D 8 𝑥 𝑦 3 9
  • E 1 7 0 𝑥 𝑦 9 2 7

Q3:

The radius 𝑟 of a sphere is given by the formula 𝑟 = 3 𝑉 4 𝜋 1 3 , where 𝑉 is the sphere’s volume. Determine the difference in radius between a sphere with volume 3 6 𝜋 and a sphere with 2 3 0 4 𝜋 .

Q4:

Find the volume of the cube, given that the length of its edge is 1 1 0 1 2 3 cm.

  • A 12 cm3
  • B 6 5 cm3
  • C 22 cm3
  • D 3 2 5 0 cm3

Q5:

A square has a side length of 𝑙 cm and an area of 63 cm2. Find the area of a square whose side length is 6 𝑙 cm.

  • A 1 8 7 cm2
  • B 99 cm2
  • C 1 0 8 7 cm2
  • D 2 268 cm2
  • E 378 cm2

Q6:

A modern art museum acquired a large, square painting with an area of 121 square feet. What is its side length?

Q7:

If 𝑥 = 𝑦 3 , then 𝑥 is the cube root of 𝑦 . Determine the cube root of 74 to the nearest whole number.

Q8:

In a triangle whose base and height are equal, the base length is given by 𝑏 = 2 𝐴 , where 𝐴 is the area of the triangle. Estimate, to the nearest whole number, the base length of this triangle if its area is 17 square meters.

Q9:

The side length, 𝑙 , of a cube is given by the formula 𝑙 = 𝑉 3 , where 𝑉 is the volume of the cube. What is the side length of a cube whose volume is 5 832 cm3?

Q10:

Scarlett has 361 marbles that she will use to make a square formation. Determine the number of marbles that should be in each row.