Question

Find the volume, lateral surface area and the total surface area of the cuboid

whose dimensions are:

(i) Length = 22 cm, breadth = 12 cm and height = 7. 5 cm​

Answer 1

Answer:

Length = 22 cm

Breadth = 12 cm

Height = 7.5 cm

Solution

Volume of a cuboid = l × b × h

= 22 × 12 × 7.5

= 1,980 cm^3

L.S.A of a cuboid = 2(l + b) × h

= 2(22 + 12) × 7.5

= 2 × 34 × 7.5

= 510 cm^2

T.S.A = 2(lb + bh + hl)

= 2(22 × 12 + 12 × 7.5 × 7.5 × 22)

= 2(264 + 90 + 165)

= 2 × 519

= 1,038 cm^2

Answer 2

Step-by-step explanation:

Given Length=22cm, breadth=12cm and height=7.5cm  

We know that  

The volume of cuboid= length × breadth × height

V = (22 × 12 × 7.5)  

V = 1980 $cm3$

We know that  

The total surface area of cuboid= 2(l b + b h + h l)  

Surface area = 2 (22 × 12 + 12 × 7.5 + 7.5 × 22)  

Surface area = 2 (264 + 165 + 90)  

Total Surface area of cuboid = 1038 $cm2$

We know that lateral area of cuboid= 2 [(l + b) × h]  

Lateral surface area = 2 [(22 + 12) × 7.5]  

= 510 $cm2$

Lateral surface area of cuboid is 510 $cm2$

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