Question

I need help with geometry

Answer 1

Explanation:

Volume of a pyramid =
`(1)/(3)(\text{Area of the rectangular base})(\text{Height})`

Area of the rectangular base = Length × Width

= 8 × 6

= 48 mm²

Volume of the pyramid = 192 mm³

192 =
`(1)/(3)(48)h`

h =
`(192)/(16)`

h = 12 mm

Therefore, all the pyramids having height less than 12 mm will be fitted inside the given pyramid.

Height of the box(mm) Yes/No

10 Yes

13 No

8 Yes