Question

Olivia is making a triangular pyramid model for math class. The triangular base has a height of 5 inches and a base of 8 inches. The height of the pyramid is 10 inches. Find the volume of her pyramid to the nearest tenth of a cubic inch. Enter your answer in the box.

Answer 1

66.7 in³

Explanation:

Volume = ⅓ base area × height

= ⅓(½ × 5 × 8) × 10

= ⅓ × 20 × 10

= 200/3 in³

= 66.6667 in³

Answer 2

66.7 in^3

Explanation:

The volume of a triangular pyramid is given by

V = 1/3 B h

where B is the area of the base and h is the height

Calculate the area of the base. The base is a triangle

B = 1/2 bh where b is 8 and h is 5

= 1/2 (8) * 5

=20

V = 1/3 (20) 10

66.6666666

To the nearest tenth

66.7 in^3