Question 80

A metallic sheet is of rectangular shape with dimensions 48 cm × 36 cm. From each one of its corners, a square of 8 cm is cut off. An open box is made of the remaining sheet. Find the volume of the box.

Solution

Length of the box after the sheet is cut off (l) = 48 - (8 + 8) = 32 cm

Breadth of the box after the sheet is cut off (b) = 36 - (8 + 8) = 20 cm

Height (h) = 8 cm

Volume of the box = l x b x h

$$\Rightarrow$$ 32 x 20 x 8 = 5120 cm$$^{3}$$

Hence, option C is the correct answer.

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