GCSE Secondary Maths Age 13-17 - Algebra: Area - Explained

The video tutorial explains how to determine the integer value of X for a cuboid with dimensions X by 3X by 2X, where the volume is less than 900 cm³. The process involves calculating the volume, dividing by 6, and comparing cube numbers to find that X must be less than or equal to 5. The tutorial emphasizes understanding the concept of integers and provides a breakdown of marks for solving the problem.

What is the primary condition for the integer X in the context of the cuboid's dimensions?

• X must be a fraction.

• X can be zero or negative.

• X must be a positive whole number.

• X can be any real number.

How is the volume of the cuboid expressed in terms of X?

• 3X + 2X + X

• X + 3X + 2X

• X * 3X * 2X

• X * X * X

What inequality is derived from the volume calculation of the cuboid?

• X³ < 900

• 6X³ < 900

• X² < 150

• 6X² < 150

Which of the following is the correct cube number that helps determine the maximum value of X?

• 64

• 125

• 216

• 150

What is the maximum integer value of X that satisfies the inequality X³ < 150?

• 6

• 5

• 4

• 7