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 ca
1 answer:
Answer:
96
Step-by-step 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
<u>First Candle</u>
- Height=12cm
- Length=4 cm
- Width= 6 cm
Volume=Height X Length X Width
=12 X 4 X 6
=288
<u>Second Candle</u>
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
Difference in Volume = 384-288 =96
Therefore, 96 of additional wax was used to make the second candle.
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Answer:
32
Step-by-step explanation:
Given:
- The slant length 10 units
- A right square pyramid with base edges of length 8
Now we use Pythagoras to get the slant height in the middle of each triangle:
=
=
units
One again, you can use Pythagoras again to get the perpendicular height of the entire pyramid.
=
= 6 units.
Because slant edges of length 10 units each is cut by a plane that is parallel to its base and 3 units above its base. So we have the other dementions of the small right square pyramid:
- The height 3 units
- A right square pyramid with base edges of length 4
So the volume of it is:
V = 1/3 *3* 4
= 32
