Question

Find the lateral surface area, total surface area and the volume of a cuboid of dimensions 20m×15m×10m​

Answer 1

Step-by-step explanation:

Here, l= 20m

b= 15m

h= 10m

Total S.A.= 2(lb+bh+lh)

= 2(20*15+15*10+10*20)

= 2(300+150+200)

= 2(650)

= 1300 m.sq.

Lateral S.A. = 2h(l+b)

= 2*10(20+15)

= 20(35)

= 700 m. sq.

Volume = l*b*h

= 20*15*10

3000 cubic metre.

Hope it helps you. Follow me for solving your doubts.

Answer 2

✪$\large \boxed{\bf \red{ GIVEN}}$✪

• Length of cuboid = 20 m
• Breadth of cuboid = 15 m
• Height of cuboid = 10 m

✪$\large \boxed{\bf \red{TO \: FIND } }$✪

• Total surface area of cuboid
• Lateral surface area of cuboid
• Volume of cuboid

✪$\large \boxed{\bf \red{ SOLUTION}}$✪

_______________________

$\boxed{ \bf \orange{T.S.A \: of \: cuboid = 2(lb + bh + hl)}} \\ \\ \Longrightarrow \bf 2(20 \times 15 + 15 \times 10 + 10 \times 20) \\ \\ \Longrightarrow\bf 2(300 + 150 + 200) \\ \\\Longrightarrow \bf 2 \times 650 \\ \\ \boxed {\green{ \bf T.S.A \: of \: cuboid = 1300 \: {m}^{2} }}$

_______________________

$\boxed{ \bf \orange{L.S.A \: of \: cuboid = 2h(l + b)}} \\ \\ \Longrightarrow \bf2 \times 10(20 + 15) \\ \\ \Longrightarrow\bf 20 \times 35 \\ \\ \boxed{ \bf \green{ L.S.A \: of \: cuboid = 700 {m}^{2} }}$

_______________________

$\boxed {\bf \orange{Volume \: of \: cuboid = l \times b \times h}} \\ \\\Longrightarrow \bf 20 \times 15 \times 10 \\ \\ \boxed{ \bf \green{Vol \: of \: cuboid = 3000 \: {m}^{3} }}$