Amy’s moving supply store sells boxes with a base that is 24 inches wide and 24 inches long. If the volume of the box is 17,280 in (to the 3rd power), what is the height of the box? A. 28in
B. 24in
C. 36in
D. 40in

Oliver’s flavored popcorn comes in cylindrical tins divided into three equal sections of caramel, cheese, and buttered flavors. If the tin is 10 inches in diameter and 15 inches tall, what is the volume to the nearest tenth of only the cheese popcorn?

A. 682.5 in (3rd power)
B. 392.7 in (3rd power)
C. 1570 in (3rd power)
D. 970.2 in (3rd power)

Answer/Step-by-step explanation:

1. Volume of box = 17,280³

Width = 24 in

Length = 24 in

Height = ?

Volume = length*width*height

17,280 = 24*24*h (substitution)

17,280 = 576*h

Divide both sides by 576

17,280/576 = 576h/576

30 = h

Height = 30 in

The options given do not contain answer.

2. Diameter of cylinder = 10 in

Radius = ½ of diameter = 5 in

Height of cylinder = 15 in

Volume of cylinder = πr²h

Volume of the cylinder = π*5²*15

Volume of cylinder = 1,178.1 in³

Volume of only cheese = 1,178.1/3 = 392.7 in³

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step-by-step explanation:

"a" determine whether sage found the correct quotient. show your work

step-by-step explanation: