Final answer:
To find the volume of the cuboid case, we multiply the dimensions (186 mm × 98 mm × 29 mm) to get 530172 mm³, which we then round to two significant figures as 530000 mm³ or 5.3 × 10⁵ mm³, approximately 5352 mm³.
Step-by-step explanation:
To find the volume of the calculator case, we can use the formula for the volume of a cuboid, which is length × width × height. The given dimensions are a height of 29 mm, a width of 98 mm, and a length of 186 mm. To calculate the volume, we multiply these dimensions together:
Volume = length × width × height
= 186 mm × 98 mm × 29 mm
= 530172 mm³
To give the answer to two significant figures, we round 530172 mm³ to 530000 mm³, which can also be expressed as 5.3 × 10⁵ mm³.
Among the given options, the closest to our rounded figure is option B, 5352 mm³, which we would typically round from the calculated value of 530172 mm³ if rounding to four significant figures. However, since we need the answer rounded to two significant figures, the correct choice is not explicitly provided in the options. Therefore, this is an approximation:
Volume ≈ 5352 mm³ (Option B)