Question

length = 22 cm, breadth
= 12 cm and height = 7.5 cm
fo) length 15 m. breadth = 6 m and height = 9 dm
full length = 24 m. breadth = 25 cm and height
= 6 m
(iv) length = 48 cm. breadth
48 cm. breadth = 6 dm and height
= 1 m
Find the volume. lateral surface area and the total surface area of the cuboid whose dimensions are:​

Answer 1

Step-by-step explanation:

+(6 x 0.9) + (15 x 0.9)}] m2 (i) Length = 22 cm, breadth = 12 cm and height = 7.5 cm = [2 x (90 + 5.4 + 13.5)) m2 = 217.8 m2 Solution: Volume of the cuboid = (lxbxh) cubic units (iii) Length = 24 m, breadth = 25 cm and height = 6 m Solution: Here, 25 cm = 0.25 m = (22 x 12 x 7.5) cm = 1980 cm3 Volume of the cuboid = {24 x 0.25 x 6) m3 = 36 Lateral surface area of the cuboid = {2 (1 + b) h) cm2 m3 = {2 (22 +12) x 7.5} m2 = 510 cm2 Lateral surface area of the cuboid = {2 (24 + 0.25) 6} m2 = 291 m2 Total surface area of the cuboid = 2(b + bh + Ih) sq units Total surface area of the cuboid = [2 (24 0.25) + (0.25 6) + (246)]] m2 = 2(22 x 12 + 12 x 7.5 + 22 x 7.5) cm2 = [2 x (6 + 1.5 + 144)] m2 = 303 m2 = 2 (264 +90 + 165) cm2 = 1038 cm2 (iv) Length = 48 cm, breadth = 6 dm and height = 1 m (ii) Length = 15 m, breadth = 6 m and height - 41204 T U T 100) IT - LUSO Cur = 12 x (6 + 1.5 + 144) m- = 303 m (ii) Length = 15 m, breadth = 6 m and height = 9 dm (iv) Length = 48 cm, breadth = 6 dm and height = 1 m Solution: Here, 9 dm = 0.9 m Solution: Here, 48 cm = 0.48 m and 6 dm = 0.6 m Volume of the cuboid = {15 x 6 x 0.9} m3 = 81 m3 Volume of the cuboid = {0.48 x 0.6 x 1} m3 = 0.288 m3 Lateral surface area of the cuboid = {2 (15+6) * 0.9} m2 = 37.8 m2 Lateral surface area of the cuboid = {2 (0.48 + 0.6) * 1} m2 = 2.16 m2 Total surface area of the cuboid = [2 {(156) + (6 x 0.9) + (15 x 0.9)}] m2 Total surface area of the cuboid = [2 {(0.48 x 0.6) + (0.6 x 1) + (0.48 x 1)}] m2 = [2 x (90 + 5.4 + 13.5)] m2 = 217.8 m2 = [2 (0.288 + 0.6 +0.48)] m2 = 2.736 m2 (iii) Length = 24 m, breadth = 25 cm and height = 6 m (2) The dimensions of a rectangular water tank are 2 m 75 cm by 1 m 80 cm by 1 m 40 cm. How many litres of water does it hold when filled to the brim? Solution: Here, 25 cm = 0.25 m

Answer 2

Step-by-step explanation:

Given Length=22cm, breadth=12cm and height=7.5cm We know that volume of cuboid= length × breadth × height V = (22 × 12 × 7.5) V = 1980cm3 We know that 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 = 1038cm2 We know that lateral area of cuboid= 2 [(l + b) × h] Lateral surface area = 2 [(22 + 12) × 7.5] Lateral surface area = 510 cm2Read more on Sarthaks.com - https://www.sarthaks.com/739487/volume-lateral-surface-total-surface-cuboid-whose-dimensions-arelength-breadth-height

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