Question 12

There are 500 photographs in the stack.

To determine the number of photographs in the stack, we can divide the total height of the stack by the thickness of each photograph. Given that the stack is 20 centimeters high and each photograph is 0.04 centimeters thick, the calculation yields 500 photographs.

A) 8

This option is incorrect because if each photograph is 0.04 cm thick, then a stack of 8 photographs would only be 0.32 cm high (8 x 0.04 cm), which is significantly less than the 20 cm height of the stack.

B) 50

This option is incorrect as well. If there were 50 photographs, the total thickness would be 2 cm (50 x 0.04 cm), which again does not match the height of the stack, which is 20 cm.

C) 80

This option is also incorrect. A stack of 80 photographs would measure 3.2 cm in height (80 x 0.04 cm), still far below the 20 cm height of the stack.

D) 500

This option is correct. When calculating the number of photographs by dividing the total stack height of 20 cm by the thickness of each photograph (0.04 cm), we find that 500 photographs fit in that height (20 cm ÷ 0.04 cm = 500).

Conclusion

The correct answer is 500 photographs, as it accurately reflects the total thickness that corresponds to the given height of the stack. All other options fail to account for the height of the stack accurately, resulting in significantly lower totals that do not match the provided height.