Question

HELP WITH 2 MATH QUESTIONS!!

Answer 1

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)

Answer 2

Answer:

9 cubes.

Step-by-step explanation:

The volume of the mould = π r^2 h

=  π *3^2 * 8

= 72π cm^3

Area of 1 cube = 3^3 = 27 cm^3

So the number of cubes required to fill the mould

= 8.38 cubes.

So it will need 9 cubes.

2.

The CORRESPONDING  sides are in the same ratio so the 2 triangles are similar:

6/9 = 2/3

AND

8/12 = 2/3.

B.

Suppose he makes both prisms =  10 cms high.

The volume of the larger prism = 1/2 * 12 *9 * 10 =  540 and the volume of the smaller prism = 1/2 * 6 * 8 * 10 = 240.

So it is 540 / 240 = 2.25 times greater.