Volume and Dimensions of Cuboids

The video tutorial explains how to find the height of a cuboid formed by melting a metallic cube with a side of 12 cm. The volume of the cube is equated to the volume of the cuboid, which has a length of 18 cm and a breadth of 16 cm. By using the formula for volume, the height of the cuboid is calculated to be 6 cm.

What is the side length of the metallic cube before it is melted?

• 16 cm

• 14 cm

• 12 cm

• 10 cm

Into what shape is the metallic cube melted?

• Cuboid

• Pyramid

• Cylinder

• Sphere

What are the given dimensions of the cuboid?

• 18 cm and 14 cm

• 14 cm and 16 cm

• 12 cm and 18 cm

• 16 cm and 18 cm

What is the relationship between the volume of the cube and the cuboid?

• Volume of cuboid is greater

• Volumes are equal

• Volumes are unrelated

• Volume of cube is greater

What is the significance of the volume equivalence in this problem?

• It shows the cube is larger

• It shows the cuboid is larger

• It allows solving for the cuboid's height

• It is irrelevant

How is the volume of a cube calculated?

• Side x Side x Side

• Side x Side

• Length x Breadth

• Length x Breadth x Height

What is the volume of the cube with a side of 12 cm?

• 144 cm³

• 1728 cm³

• 864 cm³

• 288 cm³

What is the first step in solving for the height of the cuboid?

• Calculate the volume of the cuboid

• Subtract the dimensions of the cuboid

• Add the dimensions of the cuboid

• Calculate the volume of the cube

What is the formula for the volume of a cuboid?

• Length x Breadth x Height

• Base x Height

• Length x Breadth

• Side x Side x Side

What is the length of the cuboid?

• 12 cm

• 16 cm

• 18 cm

• 20 cm