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? Responses: 158,400 cm ,158,400 cm, 45 cm ,45 cm ,40 cm ,40 cm, 15 cm
To find the width of the box, we can use the formula for the volume of a rectangular prism:
Volume = Length × Width × Height
Given:
Volume = 162,000 cubic centimeters
Height = 40 cm
Length = 90 cm
Plugging in the values, we get:
162,000 = 90 × Width × 40
Simplifying, we have:
162,000 = 3,600 × Width
Dividing both sides by 3,600, we find:
Width = 162,000 / 3,600
Width = 45 cm
Therefore, the width of the box is 45 cm.