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

15 cm
15 cm

158,400 cm
158,400 cm

45 cm
45 cm

40 cm

1 answer

To find the width of the box, we can use the formula for the volume of a right rectangular prism, which is V = length × width × height.

Given:
Volume = 162,000 cubic centimeters
Length = 90 cm
Height = 40 cm

Substituting the given values into the formula, we get:
162,000 = 90 × width × 40

Now, divide both sides of the equation by 90 × 40:
width = 162,000 / (90 × 40)

Simplifying the denominator:
width = 162,000 / 3,600

Therefore, the width of the box is 45 cm.