Volume of Right Rectangular Prisms Quick Check
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Question
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
40 cm
40 cm
45 cm
45 cm
158,400 cm
To find the width of the box, we can use the formula for the volume of a rectangular prism, which is V = lwh, where V is the volume, l is the length, w is the width, and h is the height.
In this case, the volume is given as 162,000 cubic centimeters, the length is 90 cm, and the height is 40 cm.
Substituting these values into the formula, we get:
162,000 = 90 w 40
To solve for w, we divide both sides of the equation by (90 x 40):
w = 162,000 / (90 x 40) = 45 cm
Therefore, the width of the box is 45 cm.