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.

for width=7.5 cm

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

281.25>252 

it is not possible that the width is 7.5 cms

3x^2 +15x =  252

No, too large

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

Step-by-step explanation:

full plato answer verified correct

answer: the answer is (b) amie should have multiplied

step-by-step explanation: given a sphere and a cylinder with same radius and height.

let, 'r' be the radius of the cylinder and sphere and 'h' be the height of the cylinder. according to the question,

r = h.

now, the volume of the sphere will be

and the volume of the cylinder will be

therefore, we have

thus, ammie should have multiplied the volume of the sphere