ABC26GN4824 · Volume and Surface Area

Subject: General Aptitude · Chapter: Volume and Surface Area · Exam: 2010 · Marks: · Difficulty:

An open box is made by cutting the congruent squares from the corners of a rectangular sheet of cardboard of dimensions 20 cm × 15 cm. If the side of each square is 2 cm, the total outer surface area of the box is

(a)$148 \mathrm{cm}^{2}$

(b)$284 \mathrm{cm}^{2}$

(c)$316 \mathrm{cm}^{2}$

(d)$460 \mathrm{cm}^{2}$

Answer

Answer (as printed): B

Explanation

Clearly, $l=(20-4) \mathrm{cm}=16 \mathrm{cm}, b=(15-4) \mathrm{cm}=11 \mathrm{cm}$, $h=2 \mathrm{cm}$ ∴ Outer surface area of the box $=[2(l+b) \times h]+l b$ $$\begin{aligned} & =[\{2(16+11) \times 2\}+16 \times 11] \mathrm{cm}^{2} \\ & =(108+176) \mathrm{cm}^{2}=284 \mathrm{cm}^{2} . \end{aligned}$$

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