GCSE Secondary Maths Age 13-17 - Geometry & Measures: Volume of a Cuboid - Explained

The video tutorial explains how to solve a problem involving changing the shape of a cuboid while maintaining its volume. Jane needs to create a new cuboid with a specific cross-section and the same volume as the original. The tutorial walks through calculating the original cuboid's volume, setting up an equation to find the missing dimension of the new cuboid, and solving for that dimension. The solution involves basic arithmetic and understanding of volume calculations, with a final explanation of how marks are allocated for each step.

What are the dimensions of the original cuboid of cheese?

• 4 cm by 8 cm by 16 cm

• 3 cm by 9 cm by 14 cm

• 2 cm by 10 cm by 15 cm

• 5 cm by 5 cm by 12 cm

What is the volume of the original cuboid?

• 350 cm³

• 200 cm³

• 300 cm³

• 250 cm³

What is the cross-section of the new cuboid?

• 7 cm by 7 cm

• 5 cm by 5 cm

• 6 cm by 6 cm

• 4 cm by 4 cm

What equation is used to find the new dimension X?

• 30X = 300

• 15X = 300

• 20X = 300

• 25X = 300

What is the value of X for the new cuboid?

• 12 cm

• 11 cm

• 13 cm

• 10 cm