CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
0
You visited us 0 times! Enjoying our articles? Unlock Full Access!
Question

A girl painted the outside of the cuboid shaped cabinet of measure 2 m × 3 m × 2.5 m. How much surface area did she cover if she painted all except the bottom of the cabinet?

A
41 m²
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
42 m²
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
32 m²
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
31 m²
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D 31 m²

The surface area of the bottom of the cuboid will be subtracted from the total surface area of the cabinet.

From the given figure,

Length 'l' of the cabinet = 2 m

Breadth 'b' of the cabinet = 3 m

Height 'h' of the cabinet = 2.5 m

Area of the bottom of cabinet = l × b

Since the cabinet is cuboidal in shape,

Total surface area of the cabinet = 2(l × b + b × h + h × l)

Area of the cabinet that was painted = (Total surface area of the cabinet) - (Area of bottom of the cabinet)

= 2(l × b + b × h + h × l) − l × b

= 2(b × h + h × l) + l × b

= 2 × (3 × 2.5 + 2.5 × 2) + 2 × 3 m²

= 2 × 12.5 + 6 m²

= 31 m²

Therefore the area of the cabinet that was painted is 31 m².


flag
Suggest Corrections
thumbs-up
3
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Surface Area of Cuboid
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon