Question

find the total surface area and lateral surface area of the cuboid whose dimensions are :
length=20 cm breadth=15 cm and height = 8 cm​

Answer 1

Answer:

TSA=1160sq.cm

LSA=560sq.cm

Step-by-step explanation:

$l = 20cm \\ b = 15cm \\ h = 8cm \\ total \: surface \: area \: of \: cuboid = 2(lb + bh + lh) \\ = 2(20(15) + 15(8) + 20(8)) \\ = 2(300 + 120 + 160) \\ = 2(580) \\ tsa = 1160 {cm}^{2} \\ lateral \: surface \: area \: of \: cuboid = 2(l + b)h \\ = 2(20 + 15)8 \\ = 2(35)8 \\ = 70(8) \\ lsa = 560 {cm}^{2}$

Answer 2

Total Surface Area Of The Cuboid = 1160 cm^2

Lateral Surface Area Of The Cuboid =  560 cm^2

Given:

Length of the cuboid (l) = 20 cm

Breadth of the cuboid (b) = 15 cm

Height of the cuboid (h) = 8 cm

To Find:

Lateral Surface Area Of The Cuboid

Total Surface Area Of The Cuboid

Calculating:

Formula that is used to calculate the lateral surface area of a cuboid:

= 2h(l + b)

Substituting all the values known to us in this formula we get:

= 2 x 8 x (20 + 15)

= 16 x 35

= 560 cm^2

Therefore, the lateral surface area of the cuboid is 560 cm^2.

Formula that is used to calculate the total surface area of the cuboid:

= 2(lb + lh + bh)

Substituting all the values known to us in this formula we get:

= 2((20)(15) + (8)(20) + (15)(8))

= 2(300 + 120 + 160)

= 2 x 580

= 1160 cm^2

Therefore, the total surface area of the cuboid is 1160 cm^2.