Question

Find the lateral surface area, total surface area and volume of a cuboid with sides 18 cm, 15 cm and 12 cm.​

Answer 1

Answer:

lateral surface area = 2(hl+hb)

= 2( 12 * 15 + 12*18 )

= 2 ( 180+ 216)

= 612.

total surface area = 2( lb+bh+hl)

= 2( 15*18 +18*12+12*15)

= 2( 270+ 216+180)

= 1332.

volume = l*b*h

= 15*18*12

= 3240.

Answer 2

Given data in the questions are as follows,

Length of cuboid= $18 cm$

breadth of cuboid=$15 cm$

height of cuboid   =$12 cm$

We have to find ,

the lateral surface area of cuboid,

total surface area of cuboid ,

volume of a cuboid

so , formula of total surface area of cuboid =$2\times(length \times breadth+breadth \times height+height \times length)$

=$2 (18\times 15+15\times12+12\times 18)$

multiplying $18 by 15 ,we get 270 ,15 by 12 get 180 and 12 by 18 we get 216$

=$2\times(270+180+216)$

Multiplying $2$ by$666$,we get

=$2\times 666$

=$1332$

total surface area of cuboid=$1332$

volume of cuboid = length $\times$breadth $\times$height

                              = $18\times 15\times 12$

                              =$3240 cm^{3}$

now, lateral surface area of cuboid= $2\times height ( Length+ breadth)$

                                                          = $2 \times 12 (15+12)$

                                                  Adding $15$ and $12$ , we get $27$

                                                           =$2\times 12 \times 27$

                                                           =$648$ $cm^{2}$

Therefore, lateral surface area of cuboid= $648 cm^{2}$

                      total surface area of cuboid=$1332 cm^{2}$

                                      volume of cuboid =$3240 cm^{3}$