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.Given that the height of the cuboid is 2 cm

Open in App

Solution

Height of cuboid=2cm
Given breadth=2height=22=4cm
length=2breadth=24=8cm

Lateral surface area of cuboid= 2(lh+bh)=2(82+42)=2(16+8)=224=48cm^2
Total surface area=2(lb+bh+hl)=2(84+82+42)=2(32+16+8)=256=112cm^2

Ratio of LSA/TSA=48/112=3/7

Suggest Corrections

Similar questions

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 $2 c m$ .

Q. The length of a cuboid is twice its breadth. The breadth is twice its height. Then ratio of LSA to TSA of cuboid will be ___.

Q. The length, breadth and height of a cuboid are 2cm, 4cm and 3cm respectively. Then, its Lateral Surface Area is __________.

Q. Find ratio of the lateral surface area and total surface area of a cuboid of length

80

cm ,breadth

40

cm and height

20

Q. Lateral surface area of a cuboid is

486 m^{2}

. Its breadth is

12

m and length and height are in the ratio

5 : 3

. Find the magnitude of difference of length and height of the cuboid.

Join BYJU'S Learning Program

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.Given that the height of the cuboid is 2 cm

Height of cuboid=2cm Given breadth=2*height=2*2=4cm length=2*breadth=2*4=8cm Lateral surface area of cuboid= 2*(l*h+b*h)=2*(8*2+4*2)=2*(16+8)=2*24=48cm^2 Total surface area=2*(l*b+b*h+h*l)=2*(8*4+8*2+4*2)=2*(32+16+8)=2*56=112cm^2 Ratio of LSA/TSA=48/112=3/7

Height of cuboid=2cm
Given breadth=2height=22=4cm
length=2breadth=24=8cm

Lateral surface area of cuboid= 2(lh+bh)=2(82+42)=2(16+8)=224=48cm^2
Total surface area=2(lb+bh+hl)=2(84+82+42)=2(32+16+8)=256=112cm^2

Ratio of LSA/TSA=48/112=3/7