Question

*100 POINTS** 7th grade geometry pls help

Answer 1

Height = 10 cm

Explanation:

The volume of a pyramid can be found using the following formula:

`\boxed{\large \textsf{$V=(1)/(3)Ah$}} \large \textsf{ where:}\\\\ \\ormalsize \textsf{$\bullet{\,V = $ volume of pyramid$}$}\\ \\ormalsize \textsf{$\bullet{\,A = $ base area$}$}\\ \\ormalsize \textsf{$\bullet{\,h = $ perpendicular height$}$}`

Note: in the question, it states that base area = 12 cm³, however, this is an error (typo), and the area is 12 cm², since area is only in 2 dimensions. length and width, whilst volume is in 3 dimensions. length, width, and height.

Now, we can plug in our data into the formula:

`\large \textsf{$40=(1)/(3)12h$}\\\\ \large \textsf{$40=4h$}\\\\\boxed{\boxed{\large \textsf{$\therefore h = 10$ cm}}}\\`