Question

The top of a rectangular box has an area of 50 cm^2. The sides have areas of 45 cm^2 and 90 cm^2. What are the dimensions of the box?

a) 5 cm x 10 cm x 9 cm
b) 9 cm x 5 cm x 10 cm
c) 10 cm x 9 cm x 5 cm
d) 10 cm x 5 cm x 9 cm

Answer 1

The correct answer is A.

Answer 2

The dimensions of the box are approximately 7.07 cm x 6.71 cm x 9.49 cm.

Step-by-step explanation:

To find the dimensions of the box, we can start by finding the lengths of the sides. The top area of the box is 50 cm^2, so the length and width of the top side can be calculated as the square root of 50, which is approximately 7.07 cm. Since the sides have areas of 45 cm^2 and 90 cm^2, the lengths and widths of the sides can be calculated as the square roots of 45 and 90, respectively. Using a calculator, we can find that the side lengths are approximately 6.71 cm and 9.49 cm.

Therefore, the dimensions of the box are approximately 7.07 cm x 6.71 cm x 9.49 cm.