Question

You work in a packaging store. A customer brings in a basketball to be put in a box. The available box is 25

centimeters (cm) on all sides, and the ball has a diameter of 9.55 inches.

Will the ball fit inside the box?

O The ball will fit, because its diameter is approximately 12 cm.

O The ball will fit, because its diameter is approximately 14 cm.

O The ball will fit, because its diameter is approximately 1 cm shorter than the side of the box.

O The ball will not fit, because its diameter is approximately 3 cm longer than the side of the box.

The ball will not fit, because its diameter is approximately 14 cm longer than the side of the box.

Answer 1

Given:

Length of each side of the box = 25  cm

Diameter of the ball = 9.55 inches.

To find:

Whether the ball will fit inside the box.

Solution:

The ball will fit inside the box if the diameter of the ball is less than or equal to length of each side of the box.

Length of each side of the box = 25  cm

We know that, 1 inch = 2.54 cm

Diameter of the ball = 9.55 inches.

                                 = (9.55 × 2.54) cm

                                 = 24.257 cm

Clearly, 24.257 cm < 25 cm. Diameter is approximately 1 cm shorter than the side of the box.

Therefore, the ball will fit, because its diameter is approximately 1 cm shorter than the side of the box.

Hence, the correct option is C.