Question

the dimension of a cuboid are in the ratio 4:2:1 and total surface area is 28 cm².
Find Volume of the cuboid.​

Answer 1

Answer:

Given:-

Dimensions of cuboid are 4:2:1

Total surface area is 28 cm².

Let the dimensions be 4x , 2x , 1x or x

Solution:-

Total surface area = 2 ( lb + bh + hl )

28 cm² = 2 ( 4x × 2x + 2x × x + x × 4x )

28 cm² / 2 = 8x² + 2x² + 4x²

14 cm² = 14x²

14 cm²/14 = x²

1 cm = x²

√1 cm = x

1 cm = x

4x = 4 × 1 cm = 4cm

2x = 2 × 1 cm = 2cm

x = 1 cm

Volume of cuboid = l × b × h

= 4cm × 2cm × 1cm

= 8cm^3

Step-by-step explanation:

Hope this helps you

# By Sparkly Princess