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 length is 90 cm
Answers
Answered by
GPT 3.5
To find the width of the box, we need to rearrange the formula for volume of a rectangular prism. The formula is V = lwh, where V is the volume, l is the length, w is the width, and h is the height.
In this case, we are given the volume V = 162,000 cubic centimeters, the height h = 40 cm, and the length l = 90 cm. We want to find the width w.
Rearranging the formula, we have w = V / (lh).
Substituting the given values, we have w = 162,000 / (90 * 40) = 162,000 / 3600 = 45 cm.
Therefore, the width of the box is 45 cm.
In this case, we are given the volume V = 162,000 cubic centimeters, the height h = 40 cm, and the length l = 90 cm. We want to find the width w.
Rearranging the formula, we have w = V / (lh).
Substituting the given values, we have w = 162,000 / (90 * 40) = 162,000 / 3600 = 45 cm.
Therefore, the width of the box is 45 cm.
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