Question

(i) Find the volume of the following cuboid with length 12cm, breadth 8cm and
height 6cm. Also, find its lateral surface area.
​

Answer 1

Answer:

$\large\bold\red{v = 576 \: {cm}^{3}}\\\\ \large\bold\red{a = 240 \: {cm}^{2}}$

Step-by-step explanation:

Given,

A cuboid having dimensions,

• Length, l = 12 cm
• Breadth, b = 8 cm
• Height, h = 6 cm

Now,

We know that,

Volume of a cuboid, v = lbh

Therefore,

We get,

$= > v = 12 \times 8 \times 6 \\ \\ = > \large \boxed{ \bold{v = 576 \: {cm}^{3} }}$

Also,

We know that,

Lateral Surface area, a = 2(l +b) h

Therefore,

We get,

$= > a = 2(12 + 8) \times 6 \\ \\ = > a = 12 \times 20 \\ \\ = > \large \boxed{ \bold{ a = 240 \: {cm}^{2} }}$

Answer 2

$\bold{Given}\begin{cases}\underline{\footnotesize\sf{\star\:\:Dimensions\:of\:the\:Cuboid}}\\\sf{Length(l)=12cm}\\\sf{width(b)=8cm}\\\sf{Height(h)=6cm}\\ \sf{\footnotesize\sf{Find\:volume\:of\:cuboid\:and\:its\:lateral/surface\:area}}\end{cases}$

Formula used :-----

• Volume of cuboid = length × breadth × height
• Lateral surface area of cuboid = 2(l+b)×h

Solution :--------

Putting values we get,

→ Volume = 12 × 8 × 6 = 576cm³

putting values again now in LSA formula we get,

→ LSA = 2(12+8)×6 = 240cm²

so, volume of cuboid is 576cm³ and its lateral surface area is 240cm² ....