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Theresa uses a unique box in the shape of a trapezoidal prism for her specialty candles. The area of the base of the box for the smaller candle is 125 cm2 and the box is 12 cm tall. The box used for the larger candle has a base whose area is 160% that of the smaller box, and it is 6 centimeters taller.
What percent of the volume of the smaller box is the volume of the larger box?
Answer:

Sagot :

bhall0402

Answer:

82cm

Step-by-step explanation:

The volume of the larger box is 240% that of the volume of the smaller box.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables

Volume of smaller box = area of base * height = 125 cm² * 12 cm = 1500 cm³

Volume of larger box = area of base * height = (1.6 * 125 cm²) * (12 + 6) cm = 3600 cm³

Ratio of volume = 3600/1500 = 2.4 = 240%

The volume of the larger box is 240% that of the volume of the smaller box.

Volume of the smaller box

  • Area of base ×Height
  • 125(12)
  • 1400cm³

Area of base of larger box

  • 160% of 125
  • 1.6×125
  • 200cm²

Volume

  • 200(6)
  • 1200cm³

Percentage

  • 1400/1200×100
  • 116.67%
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