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13 votes
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

User Daniel Mackay
by
2.9k points

2 Answers

21 votes
21 votes

Answer:

7 cm by 6 cm by 18 cm

Explanation:

its D

User Himura
by
2.5k points
20 votes
20 votes

Answer:

7 cm by 6 cm by 18 cm

Explanation:

Given :

Volume of candle = 270cm³

Height = 18cm

Triangular base = 5cm

Width of candle = 7cm

Volume = Area of base * height

270cm³ = Area of base * 18

Area of base = 270cm³ / 18cm

Area of base = 15 cm²

Using this to find the height of triangular prism :

Area = 1/2 * base * height

15cm² = 1/2 * 5 * height

15cm² = 2.5 *. Height

Height = 6 cm

Hence, the dimension of triangular prism is : 7cm by 6cm by 18cm

User Smaranjit
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3.1k points