Question : A square of side 3 cm is cut off from each corner of a rectangular sheet of length 24 cm and breadth 18 cm, and the remaining sheet is folded to form an open rectangular box. The surface area of the box is:
Option 1: 468 cm2
Option 2: 396 cm2
Option 3: 612 cm2
Option 4: 423 cm2
New: SSC CHSL tier 1 answer key 2024 out | SSC CHSL 2024 Notification PDF
Recommended: How to crack SSC CHSL | SSC CHSL exam guide
Don't Miss: Month-wise Current Affairs | Upcoming government exams
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
Correct Answer: 396 cm 2
Solution : Length of rectangular sheet = 24 cm Breadth of rectangular sheet = 18 cm Side of cut-out square = 3 cm Length of the box $(l)$ = [24 – (3 + 3)] = 18 cm Breadth of the box $(b)$ = [18 – (3 + 3)] = 12 cm Height of the box $(h)$ = 3 cm Surface area of an open rectangular box = $lb + 2(bh + hl)$ = [18 × 12 + 2(12 × 3 + 3 × 18)] = [216 + 2(36 + 54)] = 216 + 180 = 396 cm 2 Hence, the correct answer is 396 cm 2 .
Candidates can download this e-book to give a boost to thier preparation.
Result | Eligibility | Application | Admit Card | Answer Key | Preparation Tips | Cutoff
Question : The sum of the length and breadth of a cuboid is 4 cm. Length is three times the breadth. If the height of the cuboid is half of the sum of its length and breadth. Then what is the total surface area of the cuboid?
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 of the cuboid is:
Question : If the sum of the dimensions of a rectangular parallelepiped is 24 cm and the length of the diagonal is 15 cm, then the total surface area is:
Question : The length, width, and height of a cuboidal box are 18 cm,12 cm, and 10 cm, respectively. What is the total surface area of the box?
Question : The length of a cuboid is thrice of its breadth and the height of a cuboid is twice its breadth. If the breadth of the cuboid is 6 cm, then what is the total surface area of the cuboid?
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile