Question

Find the volume of the L-shaped candle.

• A. 225 cubic cm
• B. 189 cubic cm
• C. 210 cubic cm
• D. 220 cubic cm

Answer 1

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 $\times$ Width $\times$ 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 $\times$ 5 $\times$ 5
= 75 cu. cm

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

Volume = 12 $\times$ 5 $\times$ 3
= 180 cu. cm

Total volume = 75 + 180
= 255 cu. cm