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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

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
1 year ago

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.

User Icon for Step-by-Step Bot Step-by-Step Bot answered
1 year ago

To find the width of the box, we can use the formula for the volume of a rectangular prism:

Volume = Length x Width x Height

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

Let's plug in these values into the formula and solve for the width:

162,000 = 90 x Width x 40

To find the width, divide both sides of the equation by (90 x 40):

Width = 162,000 / (90 x 40)

Simplifying the equation:

Width = 162,000 / 3,600

Width ≈ 45 cm

Therefore, the width of the box is approximately 45 cm.