UCEED 2024

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Q10.A wooden block of dimension 10 cm × 20 cm × 30 cm is cut into equal sized planks. The cut planks are stacked one above the other to achieve a total height of 100 cm exactly. If the minimum number of planks are cut to achieve this height, then what is the volume of each plank in cm³?

Q12.Shown below is a configuration of FOUR solid spheres each of radius 40 cm that are placed on four corners of a regular tetrahedron with side 120 cm. The centres of the spheres coincide with the corners of the tetrahedron. What is the radius (in cm) of the largest sphere that can be accommodated within the tetrahedron?

UCEED2024Q11·nat·Medium399 attempts

Shown below are two stacked paper cups and a box with their dimensions. If stacking is allowed, then what is the maximum number of cups that can be stored in the box without deforming the cups?

Your answer

Keyboards off — use the numpad, just like on exam day.

UCEED 2024

0/57

UCEED2024Q11·nat·Medium399 attempts

Shown below are two stacked paper cups and a box with their dimensions. If stacking is allowed, then what is the maximum number of cups that can be stored in the box without deforming the cups?

Your answer

Keyboards off — use the numpad, just like on exam day.