How many cubes with side lengths of 1/4 cm does it take to fill the prism?

Question

asked Aug 28, 2022 214k views

1 Answer

Frederick Nyawaya · Answer 1 · 2022-09-02T14:21:05+0000

Answer:

Volume of the prism :---

$1cm * (7)/(4)cm * 2cm = (7)/(2) c {m}^(3) \\$

Volume of the cube :---

$(1)/(4) cm * (1)/(4) cm * (1)/(4) cm = (1)/(64) c {m}^(3) \\$

Number of cubes :---

(Volume of the prism÷Volume of the cube)

$(7)/(2) / (1)/(64) = (7)/(2) * 64 = 7 * 32=\boxed{224 }\\$

It takes 224 cubes with side lengths of 1/4 cm to fill the prism.