Question

The volume of a pyramid is given the equation V=⅓Bh. Solve for h. Then, find the height of the pyramid if the volume is 34 cm³ and the base area is 14.8 cm².​

Answer 1

6.89 cm

Step-by-step explanation:

Here, the equation is :

• V = 1/3Bh

Substituting the known values :

• 34 = 1/3 x 14.8 x h
• 102 = 14.8h
• h = 102/14.8
• h = 6.89 cm (approximately)

Answer 2

height: 6.9 cm

Step-by-step explanation:

`\sf Volume \ of \ Pyramid = (1)/(3) \ x \ Base \ Area \ x \ Height`

Here provided Information:

Volume: 34 cm³

base area: 14.8 cm²

Solve for Height:

`\sf \rightarrow (1)/(3) \ x \ 14.8 \ x \ Height = 34`

change side

`\sf \rightarrow Height = (34(3))/(14.8)`

simplify following

`\sf \rightarrow Height = 6.891892`

rounded to nearest tenth

`\sf \rightarrow Height = 6.9`