Question

The length, breadth and height of a cuboid are in the ratio 3 : 4:6 and its volume is 576 cm3
The whole surface area of the cuboid is
​

Answer 1

Answer:

mark me as brainlist

Step-by-step explanation:

The length, breadth and height of a cuboid are in the ratio 3 : 4 : 6 and its volume is 576 cm3cm3. The whole surface area of the cuboid is

A) 216 cm2cm2

B) 324 cm2cm2

C) 432 cm2cm2

D) 460 cm2cm2

Correct Answer:

C) 432 cm2cm2

Description for Correct answer:

Let length = 3x,

breadth = 4x

height = 6x

3x×4x×6x=5763x×4x×6x=576

x3=5763×4×6=8x3=5763×4×6=8

x=8–√3=2cmx=83=2cm

∴Length=3×2=6cm∴Length=3×2=6cm

Breadth=4×2=8cm,Breadth=4×2=8cm,

Height=6×2=12cmHeight=6×2=12cm

Total surface area

=2(lb+bh+hl)=2(lb+bh+hl)

=2(6×8+8×12+12×6)=2(6×8+8×12+12×6)

=2(48+96+72)=2(48+96+72)

=2×216=432cm2=2×216=432cm2