Question

A cubical box has each edge 10cm and another cuboidal box is 12.5cm long, 10cm wide and 8cm high
1.which box has the greater lateral surface area and by how much?
2.which box has the smaller total surface area and by how much?

Answer 1

I'd solved the question. See the images.

Answer 2

1) L.S.A of cube=4a² =4x(10)² =400cm² L.S.A if cuboid=2h(l+b) =2x8(12.5+10) =360cm² => L.S.A of cube >L.S.A of cuboid by 40cm² 2) T.S.A of cube=6a² =6x(10)² =600cm² T.S.A of cuboid=2(lb+lh+bh) =122cm² => T.S.A of cube>T.S.A of cuboid by 478cm²