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Dimas
2 months ago
6

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.

Mathematics
2 answers:
Svet_ta [12.7K]2 months ago
7 0

Answer:

3x^2 + 15x =  252

Not possible, it's too large.

Is the width of the tray capable of measuring 7.5 centimeters?

Step-by-step explanation:

complete and accurate response is fully verified.

lawyer [12.5K]2 months ago
4 0
<span>The volume of a rectangular prism is 
 V = l · w · h
V = 252 cm3
h = 3 cm
l = 5 + W
Let W = x, therefore l = 5 + x
V = (5 + x) * x * 3 = 252
3x</span><span>^2 + 15x = 252 cm3

</span><span>This equation models the volume of the tray based on its width, x, in centimeters.
</span>3x^2 + 15x = 252 cm3<span>
</span>

for a width of 7.5 cm

3x^2 + 15x = 3*(7.5)^2 + 15*7.5 = 281.25 cm3

<span>281.25 > 252 </span><span> </span>

<span>Thus, a width of 7.5 cm is not possible.</span>


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