Fig. 1 shows a square sheet of metal with side $a$ cm. A square $x$ cm by $x$ cm is cut from each co

Question

Fig. 1 shows a square sheet of metal with side $a$ cm. A square $x$ cm by $x$ cm is cut from each corner. The sides are then bent upwards to form an open box as shown in Fig. 2. Use differentiation to find, in terms of $a$, the maximum volume of the box, proving that it is a maximum. [6]

Accepted Answer

2a³/27 units³

2019 RI P1 Q3

2019 RI P1 Q3

Video Solution:

Solution:

Solution locked