Hakeem is building a box in the shape of a right rectangular prism to store his toys. or had a volume of 162,000 cubic centimeters. what is the width of the box if the height is 40 centimeters and the length is 90 centimeters?
a. 15 centimeters
b. 40 centimeters
c. 158,400 centimeters
d. 45 centimeters
To find the width of the box, we first need to understand the formula for the volume of a rectangular prism:
Volume = length x width x height
Given values:
Volume = 162,000 cubic centimeters
Height = 40 centimeters
Length = 90 centimeters
Now substitute the given values into the formula:
162,000 = 90 x width x 40
Now solve for the width:
width = 162,000 / (90 * 40)
width = 162,000 / 3600
width = 45 centimeters
Therefore, the width of the box is 45 centimeters.
So, the correct answer is:
d. 45 centimeters