# Worksheet: Applications of Real Numbers

Q1:

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

Q2:

A cube-shaped container has a capacity of . Determine the length of one of its sides.

• A
• B
• C
• D
• E

Q3:

The radius of a sphere is given by the formula , where is the sphere’s volume. Determine the difference in radius between a sphere with volume and a sphere with .

Q4:

Find the volume of the cube, given that the length of its edge is cm.

• A 12 cm3
• B cm3
• C 22 cm3
• D cm3

Q5:

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

• A cm2
• B 99 cm2
• C 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 , then is the cube root of . 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 , where 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, , of a cube is given by the formula , where 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.