Question

The right square pyramid represented below has a
base edge of 6 inches and a height of 5 inches.
in
What is the volume in cubic inches of the
pyramid?
HINT: 1. The base is a square, therefore all sides are the same.
2. Multiply all the numbers and then divide by 3 since the formula is V = 1/3 Bh.

Answer 1

The volume of the right square pyramid is 60 cubic inches, if the square pyramid has a base edge of 6 inches and a height of 5 inches.

Step-by-step explanation:

The given is,                    

                      Right square pyramid

                      Base edge - 6 inches

                      Height - 5 inches

Step: 1

                     Formula for volume of right square pyramid,

                                      $V = \frac{1}{3} Bh$......................(1)

                     Where, B - Base area

                     For square base, B = $a^{2}$

                                                  a = Base edge

                                  h - Height of right square pyramid

Step: 2

                     From the given,

                     Base edge, a = 6 inches

                     Base area, B = $6^{2}$ = 36 square inches

                     Height of square pyramid, h = 5 inches

                     Equation (1) becomes,

                                     $V = \frac{1}{3} (36)(5)$

                                         = (0.33333)(36)(5)

                                         = 60

                      Volume, V = 60 cubic inches

Result:

             The volume of the right square pyramid is 60 cubic inches, if the square pyramid has a base edge of 6 inches and a height of 5 inches.