Answer:
5
Step-by-step explanation:
Pyramid
[tex]\textsf{volume of a square based pyramid} =\frac{1}{3} a^2h[/tex]
(where [tex]a[/tex] = base edge, and [tex]h[/tex] = height)
Given:
- base edge = 9 cm
- height = 10cm
[tex]\implies \textsf{volume} =\frac{1}{3} \times 9^2\times10=270 \ \mathsf{cm^3}[/tex]
Wax cubes
volume of a cube = w³, where w is the length of one edge
⇒ volume = 4³ = 4 x 4 x 4 = 64 cm³
Solution
To calculate how many wax cubes are needed, divide the volume of the pyramid by the volume of a wax cube:
⇒ 270 ÷ 64 = 4.21875
⇒ 5 wax cubes are needed to make the candle
We need to round this up to 5, since we need to know the number of whole wax cubes. (If we rounded down to 4, there would not be quite enough to fill the pyramid as 4 x 64 = 256 < 270)
