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An oblique candle with a volume of 270 cubic centimeters is 18 centimeters tall. The width of the triangular candle base is 5 centimeters, and the width of the slanted candle is 7 centimeters.

An oblique triangular prism has a volume of 270 cubic centimeters. The vertical height is 18 centimeters. The width of the triangular bases is 6 centimeters, and the width of the slanted prism is 7 centimeters.

What dimensions of the box are required to fit the candle?

5 cm by 6 cm by 18 cm
7 cm by 6 cm by 18 cm
5 cm by 3 cm by 18 cm
7 cm by 3 cm by 18 cm

All Answers 1

Answered by GPT-5 mini AI
Volume / height = base area: 270/18 = 15 cm^2.
For the triangular base, (1/2)(base)(triangle height) = 15 so base·height = 30. Given the triangular base width 6, the other triangle dimension is 30/6 = 5 cm.

Thus the box must have footprint 5 cm by 6 cm and height 18 cm: 5 cm by 6 cm by 18 cm.