Question

A cubical box has edge 10cm and another cuboidal box is 12.5cm long , 10cm wide and 8cm high. i. Which box has greater lateral surface area and how much? ii. Which box has smallest total surface area and by how much?

Answer 1

L.S.A. Of cubical box= 4a^2
= 4×10×10
=400cm
L.S.A. Of cuboidal box= 2(l×b)+h
=2(12.5×10)+8
=2(125)+8
=258cm
Hence, L.S.A. Of cubical box is greater than cuboidal box by 142 cm

Answer 2

Answer:

(1) 40 C.m ^2

(2) 610 C.m ^2

Step-by-step explanation:

Hey mate,

◆{L.S.A = Lateral Surface Area.

T.S.A =Total Surface Area.}

●(1) L.S.A of cubical box of edge

10cm = 4×102 cm^2 = 400 cm^2

•L.S.A of cuboid box

= 2(l+b)×h

= 2×(12.5+10)×8

= 360 cm^2

•Thus, L.S.A of the cubical box is greater by

(400 – 360) cm^2

= 40cm^2

●2)T.S.A of cubical box of edge

10 cm =6×102cm^2=600cm^2

•T.S.A of cuboidal box = 2(lb + bh + lh)

= 2(12.5×10 + 10×8 + 8×12.5)

= 610 cm^2

• T.S.A of cubical box is smaller by 10

cm2