Grades 7-8 Video Solutions 2025-2025_7-8

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Video Summary

The problem involves a cuboid whose height is reduced by 3 cm, transforming it into a cube and reducing its surface area by 60 cm². The cube's side length is represented as \(x\). The surface area lost is calculated as 12x cm², including lateral surfaces and excluding the compensatory top face. Setting \(12x = 60\) gives \(x = 5\). The original cuboid dimensions are inferred as \(8 \times 5 \times 5\) (height being 3 + x = 8). Its volume is \(8 \times 5 \times 5 = 200\) cm³. Thus, the cuboid's original volume is 200 cm³.

Keywords

cuboid

cube

surface area

volume

dimensions