Andy is designing a dice tray in the shape of a rectangular prism to use during a role-playing game. The tray needs to be three centimeters high and have a volume of 252 cubic centimeters in order for the dice to roll properly. The length of the tray should be five centimeters longer than its width. The volume of a rectangular prism is found using the formula V = l · w · h, where l is the length, w is the width, and h is the height. Complete the equation that models the volume of the tray in terms of its width, x, in centimeters.

Step-by-step explanation:

The volume of the prism is 252 cubic centimeters.

The volume of a rectangular prism is gotten by the formula:

V = l * w * h

where l = length

w = width

h = height

The height of the prism is 3 cm.

Let x be the width of the prism.

The length of the prism is 5 cm longer than the width.That is:

l = 5 + x

The volume of the prism is therefore:

V = (5 + x) * x * 3

This is the equation that models the volume of the tray in terms of x.

Andy is designing a dice tray in the shape of a rectangular prism to use during a role-playing game. The tray needs to be three centimeters high and have a volume of 252 cubic centimeters in order for the dice to roll properly. The length of the tray should be five centimeters longer than its width.

The volume of a rectangular prism is found using the formula V = l · w · h, where l is the length, w is the width, and h is the height.

Complete the equation that models the volume of the tray in terms of its width, x, in centimeters.

3x^2 + 15x = 252

Is it possible for the width of the tray to be 7.5 centimeters?

no it is too large

x = ± 6i

step-by-step explanation:

x^2 = -36

take the square root of each side

sqrt(x^2) = sqrt(-36)

we know sqrt(ab) = sqrt(a) sqrt(b)

x = ±sqrt(36) sqrt(-1)

we know that sqrt (-1) = i

x = ± 6i

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step-by-step explanation: