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PLEASE HELP!!!
1. Angela is making a candle by pouring melted wax into a mold in the shape of a square pyramid.
Each side of the base of the pyramid is 8 cm and the height of the pyramid is 9 cm.
To get the wax for the candle, Angela melts blocks of wax that are each 2 cm by 2 cm by 2 cm.
How many of the wax blocks will Angela need in order to make the candle?
(Note: Make sure you show the formulas you use and the numbers as they fit into the formulas).

Respuesta :

calculista

Answer:

[tex]24\ wax\ blocks[/tex]

Step-by-step explanation:

step 1

Find the volume of the square pyramid

The volume is equal to

[tex]V=\frac{1}{3}b^2H[/tex]

where

[tex]b=8\ cm\\H=9\ cm[/tex]

substitute

[tex]V=\frac{1}{3}(8)^2(9)[/tex]

[tex]V=192\ cm^3[/tex]

step 2

Find the volume of one wax block

The volume of a cube is equal to

[tex]V=s^3[/tex]

where

[tex]s=2\ cm[/tex]

substitute

[tex]V=2^3=8\ cm^3[/tex]

step 3

Find out the number of wax blocks needed to make the candle

Divide the volume of the square pyramid by the volume of the wax block

so

[tex]192/8=24\ wax\ blocks[/tex]

frika

Answer:

24

Step-by-step explanation:

1. Find the volume of the square pyramid (needed volume for the candle) using the formula

[tex]V=\dfrac{1}{3}A_{base}\cdot h[/tex]

Each side of the base of the pyramid is 8 cm long, so

[tex]A_{base}=8\cdot 8=64\ cm^2[/tex]

Hence, the volume of the pyramid is

[tex]V=\dfrac{1}{3}\cdot 64\cdot 9=64\cdot 3=192\ cm^3[/tex]

2. Find the volume of the cube 2 cm by 2 cm by 2 cm:

[tex]V_{cube}=a^3\\ \\V_{cube}=2^3=8\ cm^3[/tex]

3. To find the number of the wax blocks which Angela will need in order to make the candle, just divide the volume of the pyramid by the volume of one wax block:

[tex]\dfrac{192}{8}=24[/tex]