Question

Find the total surface area and lateral surface area of a cuboid of length 12m, breadth 8m, height 15m

Answer 1

Answer:

The total surface area is 792 sq. m

and the lateral surface area of a cuboid is 600 sq. m.

Step-by-step explanation:

Given:

Length (l) = 12 m

breadth (b)= 8m

Height (h)= 15m

Find : The total surface area and lateral surface area of a cuboid.

Formula :

Lateral surface of a cuboid =2(l+b)×h

Total surface area of cuboid =2(Ib+bh+Ih)

Step 1: Find later  surface of a cuboid =2(l+b)×h

= 2(12 + 8) × 15

= 2(20) × 15

= 40 × 15

= 600 sq. m

Step 2: Find Total surface area of cuboid =2(Ib+bh+Ih)

= 2 [(12 × 8) + (8 × 15) + (12 × 15)]

= 2[96 + 120 + 180]

= 2 [396]

= 792 sq. m

So, the total surface area is 792 sq. m and the lateral surface area of a cuboid is 600 sq. m.

Answer 2

Answer: The total surface area and lateral surface area of the cuboid are 792m² and 600m²

Step-by-step explanation:

Given, the cuboid's length(l)= 12m, breadth(b)= 8m, height(h)= 15m

∴The lateral surface area = 2×h×(l+b) m²

= 2×15×(12+8) m²

= 600 m²

∴Total surface area = 2×(lb+bh+hl) m²

= 2×(12×8 + 8×15 + 15×12) m²

= 792 m²