Question

The dimensions of a box are measured to be 18.4 inches by 17.92 inches by 26 inches. The volume of the box can be found by multiplying these three dimensions. What is the volume of the box expressed to the correct number of significant figures?

Answer 1

The dimension with the least number of significant figures is the width, which has 4 significant figures. The volume of the box is 8932 in³.

Step-by-step explanation:

The volume of a box can be calculated by multiplying its length, width, and height.

In this case, the dimensions of the box are 18.4 inches by 17.92 inches by 26 inches.

To find the volume, multiply these three dimensions together:

Volume = length × width × height
Volume = 18.4 in × 17.92 in × 26 in
Volume = 8931.5712 in³

Since the measurements have different levels of precision, we need to express the volume to the correct number of significant figures.

The dimension with the least number of significant figures is the width, which has 4 significant figures.

Therefore, we should round the volume to 4 significant figures:

Volume = 8932 in³

Answer 2

Answer: -

The volume of the box is 8.6 x 10³ inch³ correct to 2 significant figures.

Explanation:-

The dimensions of a box are measured to be 18.4 inches by 17.92 inches by 26 inches.

We need to find the volume of the box.

We are told that the volume of the box can be found by multiplying these three dimensions.

Thus volume of the box = 18.4 inches x 17.92 inches x 26 inches.

= 8572.928 inch³

= 8.6 x 10³ inch³ correct to 2 significant figures.

The answer will be correct to 2 significant figures because 26 has just 2 significant figures.