Question

in a classroom challenge,students had to create a triangular pyramid using various items. Each group then use your measurements to remind the volume . which group found the volume of triangle pyramid with a base area of 16 square in?

Answer 1

`(1)/(3)((8×4)/(2))* q\text{ (option D)}`Step-by-step explanation:

Volume of a triangular pyramid = 1/3 × base area × height

We have been given base area as 16 square in

Volume of a triangular pyramid = 1/3 × 16 × height

We need to check the options for the expression whose result will give a base area of 16 square in.

From the options:

(8×3)/2 = 12

(11×4)/2 = 22

(16 ×18)/2 = 144

(8 × 4)/2 = 16

1/3 and the height is common to all options. The expression in bracket represent the base area.

Hence, the group that found the volume of triangle pyramid with a base area of 16 square in is

`(1)/(3)((8 ×4)/(2))* q\text{ (option D)}`