Question

I need help with geometry

Answer 1

Answer:

Step-by-step explanation:

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

Area of the rectangular base = Length × Width

                                                = 8 × 6

                                                = 48 mm²

Volume of the pyramid = 192 mm³

192 = $\frac{1}{3}(48)h$

h = $\frac{192}{16}$

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