Awesomeness360
contestada

Devin 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 9 cm and the height of the pyramid is 10 cm. To get the wax for the candle, Devin melts cubes of wax that are each 4 cm by 4 cm by 4 cm. How many of the wax cubes will Devin need in order to make the candle? SHOW YOUR WORK. Will Mark Brainliest. ( Do Not Repaste Another Students Answer From Brainly Or You'll Be Reported. Also Only Answer If Your 100% Sure). Thank You. ​

Respuesta :

Answer:

Step-by-step explanation:

In order to determine the number of wax cubes needed to make the candle, we divide the volume of the pyramid by the volume of the cube. That is,

             number of wax = volume of mold / volume of wax

The formulas are,

              number of wax = (1/3)Ah / s³

Where A is the area of the base, in this case 9 cm x 9 cm which is equal to 81 cm². Substituting the known values from the given above,

               number of wax = (1/3)(81 cm²)(10 cm) / (4 cm)³ = 4.21

Thus, approximate number of wax should be 4.21. If we are to round this off to the nearest whole number, we will get 5 (considering that we want rather to have excess than missing items)

semsee45

Answer:

5

Step-by-step explanation:

Pyramid mold

volume of a square based pyramid = [tex]\dfrac13a^2h[/tex]

(where a is the side of the base and h is the height)

Given a = 9 and h = 10:

volume = [tex]\dfrac13\times9^2\times10[/tex] = 270 cm³

Wax Cube

volume of a cube = a³

(where a is the length of one edge)

Given a = 4

volume = 4³ = 4 x 4 x 4 = 64 cm³

Divide the volume of the pyramid by the volume of 1 wax cube:

270 ÷ 64 = 4.21875

We need to round this number up to 5 as if we rounded down to 4, we wouldn't have quite enough to fill the pyramid.

Therefore, Devin will need 5 wax cubes in order to make the candle.

Otras preguntas