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Question

Find the volume of the L-shaped candle.

A
225 cubic cm
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B
189 cubic cm
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C
210 cubic cm
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D
220 cubic cm
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Solution

The correct option is A 225 cubic cm
Let's mark the points on the candle and color the parts to understand it a little better.

Volume of the candle = Volume of cuboid ABCDEFGH (yellow part) + Volume of cuboid EFIJMLK (blue part)

Volume of a cuboid
= Length × Width × Height

Dimensions of the cuboid (yellow part):
Length = AB = CD = 3 cm
Width = BC = ML = 5 cm
Height = AE
= AI - EI
= 8 - 3
= 5 cm

Volume = 3 × 5 × 5
= 75 cu. cm

Dimensions of the cuboid (blue part):
Length = JK = 12 cm
Width = ML = 5 cm
Height = LK = 3 cm

Volume = 12 × 5 × 3
= 180 cu. cm

Total volume = 75 + 180
= 255 cu. cm

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