A cubical box has each edge 10 cm and another cuboidal box is 12.5 cm long, 10 cm
wide and 8 cm high.
(Which box has the greater lateral surface area and by how much?
(i) Which box has the smaller total surface area and by how much?
in made entirely of glass panes (includ
Answers
Answer:
a) The cubical box has greater lateral surface area by 40 sq cm.
b) The cubical box has smaller total surface area by 10 sq cm.
Step-by-step explanation:
L.S.A. of cube = 4(Side)² sq units
= 4(10)²
= 4(100)
= 400 sq cm
L.S.A. of cuboid = 2( l + b )h sq units
= 2(12.5 + 10)8
= 2(22.5)8
= 360 sq cm
Thus, the L.S.A. of the cube is more than the cuboid by 40 sq cm.
T.S.A. of cube = 6(Side)² sq units
= 6(10)²
= 6(100)
= 600 sq units
T.S.A. of the cuboid = 2( lb + bh + lh)
= 2( (12.5 x 10) + (10 x 8) + (12.5 x 8) )
= 2(125 + 80 + 100)
= 2(305)
= 610 sq cm
Thus, the T.S.A. of the cuboid is more than the cube by 10 sq cm.
Hope this helps you :)