Question

john made two candles in the shape of rectangular prisms. The first candle is 12cm high, 4 cm long, and 6 cm wide. The second candle is 4 cm higher, but has the same length and width. How much additional wax was needed to make the taller candle?

Answer 1

96
`cm^3`

Explanation:

To determine how much additional wax was needed to make the taller candle, we determine the volume of each of the candles and find the difference in their volumes

First Candle

• Height=12cm
• Length=4 cm
• Width= 6 cm

Volume=Height X Length X Width

=12 X 4 X 6

=288
`cm^3`

Second Candle

The second candle is 4cm higher

• Height=12+4=16cm
• Length=4 cm
• Width= 6 cm

Volume=Height X Length X Width

=16 X 4 X 6

=384
`cm^3`

Difference in Volume = 384-288 =96
`cm^3`

Therefore, 96
`cm^3` of additional wax was used to make the second candle.