Hakeem is building a box in the shape of a right rectangular prism to store his toys. It has a volume of 162,000 cubic centimeters. What is the width of the box if the height is 40 cm and the length is 90 cm?(1 point)
Responses
40 cm
40 cm
15 cm
15 cm
45 cm
45 cm
158,400 cm
The volume of a right rectangular prism is calculated by multiplying its length, width, and height. We are given that the length is 90 cm, the height is 40 cm, and the volume is 162,000 cubic centimeters.
So, we can set up the equation:
length x width x height = volume
90 cm x width x 40 cm = 162,000 cubic cm
Simplifying, we have:
3,600 cm x width = 162,000 cubic cm
Dividing both sides by 3,600 cm, we find that the width is:
162,000 cubic cm / 3,600 cm = 45 cm
Therefore, the width of the box is 45 cm.