Question

The length of a cuboid is twice its breadth. The breadth is twice its height. Find the ratio of the lateral surface area to the total surface area of the cuboid. The height of the cuboid is $2cm$.

• A. 7: 2
• B. 7: 4
• C. 3 : 7
• D. 3 : 8

Answer 1

The correct option is C

3 : 7

Given that the height of cuboid = $2cm$.

According to the given Information:

the breadth = 2 x height

= 2 x 2 = 4 cm

the length = 2 x breadth

= 2 x 4 = 8 cm

Length = 8 cm, breadth = 4 cm, height = 2 cm

Lateral surface area $=2(lh+bh)=2(8\times 2+4\times 2)=48c{m}^2$
Total surface area $=2(lb+bh+hl)=112c{m}^2$

Ratio $=\frac{\text{lateral surface area}}{\text{total surface area}}=\frac{48}{112}=3:7$