Question

hi anyone pls solve and tell the answer​

Answer 1

$\huge\fcolorbox {magenta} {green} {Hey cutie here is the answer}$

Given

Edge of a cube = 10cm

Length, l = 12.5 cm

Breadth, b = 10cm

Height, h = 8 cm

Find out

We have to find

i) Which box has the greater lateral surface area and by how much?

ii) Which box has the smaller total surface area and by how much?

Solution

(i)

Lateral surface area of a cube = 4 * (edge)²

= 4 * 102 cm²

= 400 cm²

Lateral surface area of a cuboid = 2 (lh + bh)

= 2 (12.5 * 8 + 10 * 8) cm²

= 2 (100 + 80) cm²

= 360 cm²

So, the lateral surface area of the cubical box is greater than cuboidal box by (400 cm² – 360 cm²) which is 40 cm².

(ii)

Total surface area of a cube = 6 * (edge)²

= 6 * 102 cm²

= 600 cm²

Total surface area of cuboid = 2 (lb + bh + lh)

= 2 (12.5 * 10 + 10 * 8 + 12.5 * 8) cm²

= 2 (125 + 80 + 100) cm²

= 610 cm²

Therefore, the total surface area of the cuboidal box is greater than the cubical box by (610 cm² – 600 cm²) which is 10 cm2²