Question

Find the volume, the total surface area and the lateral surface area of
a cuboid which is 15 m long, 12 m wide and 4.5 m high.​

Answer 1

The total surface area of cuboid =2(lb+bh+hl)
=2(15+12+4.5)
=2(27+4.5)
=2(31.5)
=63 m cube
CSA=2(l+b)h
=2(15+12)4.5
=2(27)4.5
=2×27×4.5
=243 m cube
Area of cuboid= l×b×h
=15×12×4.5
=810 m cube

Answer 2

$\huge\underline\mathrm{GivEn:-}$

Length of cuboid = 15 m

Breadth of cuboid = 12 m

Height of cuboid = 4.5 m

$\huge\underline\mathrm{To\: Find:-}$

Find the T.S.A. , C.S.A. and Volume of cuboid = ?

$\huge\underline\mathrm{SoLution:-}$

To find the C.S.A. of cuboid, we use the formula:- $\rm{2h(l+ b)}$

Now, putting the given values in formula

$\small\implies{\sf }$C.S.A = 2$\times$4.5(15+12)

$\small\implies{\sf }$C.S.A = 9 $\times$ 27

$\small\implies{\sf }$C.S.A = 243 m²

Hence, the C.S.A. of cuboid is 243 m²

To find the T.S.A. of cuboid, we use the formula:- $\rm{2(lb+ bh + hl)}$

Now, putting the given values in formula

$\small\implies{\sf }$T.S.A. = 2[(15 $\times$ 12) + (12 $\times$4.5) + (4.5 $\times$15)]

$\small\implies{\sf }$T.S.A = 2(180 + 54 + 67.5)

$\small\implies{\sf }$T.S.A. = 2(301.5)

$\small\implies{\sf }$ T.S.A. = 603 m²

Hence, the T.S.A. of cuboid is 603 m²

To find the Volume of cuboid, we use the formula:- l$\times$b$\times$h

Now, putting the given values in formula

$\small\implies{\sf }$Volume = 12$\times$ 15 $\times$4.5

$\small\implies{\sf }$ Volume = 810 m³

Hence, the Volume of cuboid is 810 m³