Question

A triangular pyramid. The triangular sides have a base of 6.6 centimeters and height of 4 centimeters. The height of the pyramid is 9.5 centimeters. The formula for the volume of a pyramid is V = 1 3 Bh. Use the drop-down menus to complete the statements about the triangular pyramid. The base area is cm2. The volume is cm3.

Answer 1

Answer:

Base area = 13.2  cm²

volume = 41.8  cm³

Step-by-step explanation:

The triangular pyramid has a base of 6.6 cm and height of 4 cm. The height of the pyramid is 9.5 cm. A triangular pyramid has a triangular base.

volume of a triangular pyramid = 1/3Bh

where

B = base area

h = height of the pyramid.

Let us calculate the base area. Recall the pyramid has a triangular base , that means we have to find the area of the triangle to get the base area.

Base area = 1/2 × base × height

Base area = 1/2 × 6.6 × 4

Base area = 26.4/2

Base area = 13.2  cm²

Volumes = 1/3 × base area × h

base area = 13.2 cm

height = 9.5 cm

Volumes = 1/3 × 13.2 × 9.5

volume = 125.4/3

volume = 41.8  cm³