Question

The lateral surface area of a cuboid is 224 cm Its height is 7 cm and the base is a
square. Find
a side of the square base
(ii) the volume of the cuboid.

.​

Answer 1

Step-by-step explanation:

If one of the face is like a square then it is a cube.

so,L.S.A=224cm square.

h=l=b=7cm(all edges of cube are equal)

(a)base =7cm

volume = a^3

=7*7*7cm^3

=343cm^3

Answer 2

Given,

Volume of a cuboid = 448 cm³

Height = 7 cm

So, area of base = 448/7 = 64 cm²

Thus, the base is a square.

(i) Side of square base = √64 = 8 cm

(ii) Surface area of the cuboid = 2 [lb + bh + hl]

= 2[8 × 8 + 8 × 7 + 7 × 8] cm2

= 2[64 + 56 + 56]

= 2 × 176 = 352 cm²

${\fcolorbox{blue}{black}{\orange{\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\: DecentMortal\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:}}}$